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Free download in PDF Hypothesis Testing Multiple Choice Questions and Answers for competitive exams. These short objective type questions with answers are very important for Board exams as well as competitive exams. These short solved questions or quizzes are provided by Gkseries.
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Answer: Hypothesis
Answer: Statistical Hypothesis
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Answer: Level of Significance
Answer: Two tailed
Answer: Test statistic
Answer: Left tailed
Answer: We reject H0 if it is True
Answer: Research Hypothesis
Answer: Reject A True Null Hypothesis
Answer: May Or May Not Be Rejected At The 0.01 Level
Answer: A Type Ii Error Is Committed
Answer: there is not enough statistical evidence to infer that the alternative hypothesis is true
Answer: determine whether a statistical result is significant
Answer: 0.005
Answer: Be greater than 5
Answer: That the underlying population follows an approximately Normal distribution
Answer: the probability of observing the data or more extreme values if the null hypothesis is true
Answer: If the p-value is greater than the significance level, we fail to reject Ho
Answer: 0.025
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MCQs on Hypothesis Testing
This section of Data Science questions and answers include MCQs on Hypothesis Testing. Hypothesis testing is a fundamental statistical concept used to make inferences about a population based on a sample of data. The Hypothesis Testing MCQs address various aspects of hypothesis testing, including definitions, types of errors, significance levels, p-values, effect size, critical regions, and specific tests like t-tests and ANOVA.
1. What is the null hypothesis in a statistical hypothesis test?
a) The hypothesis that there is a significant difference
b) The hypothesis that there is no significant difference
c) The hypothesis that only one variable is involved
d) The hypothesis that the data is perfectly normal
Answer: b) The hypothesis that there is no significant difference
Answer Explanation: The null hypothesis assumes no effect or no difference until evidence suggests otherwise.
2. In hypothesis testing, what is the p-value?
a) The probability of making a Type I error
b) The probability of making a Type II error
c) The probability of observing the data if the null hypothesis is true
d) The probability of rejecting the null hypothesis when it is true
Answer: c) The probability of observing the data if the null hypothesis is true
Answer Explanation: A lower p-value suggests stronger evidence against the null hypothesis.
3. What is a Type I error in the context of hypothesis testing?
a) Incorrectly rejecting a true null hypothesis
b) Incorrectly accepting a false null hypothesis
c) Correctly rejecting a true null hypothesis
d) Correctly accepting a false null hypothesis
Answer: a) Incorrectly rejecting a true null hypothesis
Answer Explanation: Type I error occurs when we falsely conclude that there is an effect when there isn’t.
4. What does the term ‘statistical power’ refer to?
c) The probability of correctly rejecting a false null hypothesis
d) The probability of correctly accepting a true null hypothesis
Answer: c) The probability of correctly rejecting a false null hypothesis
Answer Explanation: Statistical power is the ability to detect a true effect when it exists.
5. Which statistical test is appropriate for comparing means of two independent groups?
b) Chi-square test
d) Pearson correlation
Answer: a) t-test
Answer Explanation: The t-test is used for comparing means of two groups.
6. What is the purpose of the p-value in hypothesis testing?
a) To determine the effect size
b) To quantify the strength of evidence against the null hypothesis
c) To establish causation
d) To calculate the confidence interval
Answer: b) To quantify the strength of evidence against the null hypothesis
Answer Explanation: A lower p-value indicates stronger evidence against the null hypothesis.
7. In a two-tailed hypothesis test, when do you reject the null hypothesis?
a) If the test statistic is too small
b) If the test statistic is too large
c) If the p-value is too small or too large
d) If the p-value is exactly 0.05
Answer: c) If the p-value is too small or too large
Answer Explanation: In a two-tailed test, extreme values in either direction lead to rejection.
8. What is the critical region in hypothesis testing?
a) The range of values where the null hypothesis is likely true
b) The range of values where the null hypothesis is likely false
c) The range of values that leads to rejection of the null hypothesis
d) The range of values that leads to acceptance of the null hypothesis
Answer: c) The range of values that leads to rejection of the null hypothesis
Answer Explanation: The critical region is determined based on the chosen significance level.
9. Which of the following statements about the significance level (α) is correct?
a) It is the probability of rejecting the null hypothesis when it is true
b) It is the probability of accepting the null hypothesis when it is false
c) It is chosen by the researcher and represents the maximum tolerable probability of Type I error
d) It is fixed at 0.05 for all hypothesis tests
Answer: c) It is chosen by the researcher and represents the maximum tolerable probability of Type I error
Answer Explanation: The significance level is a user-defined threshold for the probability of Type I error.
10. What does a confidence interval represent?
c) The range of values that includes the true population parameter with a certain level of confidence
d) The range of values that leads to rejection of the null hypothesis
Answer: c) The range of values that includes the true population parameter with a certain level of confidence
Answer Explanation: A confidence interval provides an estimated range of likely values for a population parameter.
Data Science MCQs on Hypothesis Testing
11. what is the difference between type i and type ii errors in hypothesis testing.
a) Type I error is rejecting a true null hypothesis, while Type II error is accepting a false null hypothesis
b) Type I error is accepting a false null hypothesis, while Type II error is rejecting a true null hypothesis
c) Both Type I and Type II errors involve incorrectly accepting the null hypothesis
d) Both Type I and Type II errors involve incorrectly rejecting the null hypothesis
Answer: a) Type I error is rejecting a true null hypothesis, while Type II error is accepting a false null hypothesis
Answer Explanation: Type I error involves a false positive, while Type II error involves a false negative.
12. In a one-sample t-test, if the p-value is 0.02, what can you conclude?
a) Reject the null hypothesis at a 0.05 significance level
b) Fail to reject the null hypothesis at a 0.05 significance level
c) The null hypothesis is true
d) The test is inconclusive
Answer: a) Reject the null hypothesis at a 0.05 significance level
Answer Explanation: A p-value of 0.02 is less than 0.05, providing evidence to reject the null hypothesis.
13. What is the purpose of the Bonferroni correction in multiple comparisons?
a) To increase the chance of Type I errors
b) To decrease the chance of Type I errors
c) To increase the chance of Type II errors
d) To decrease the chance of Type II errors
Answer: b) To decrease the chance of Type I errors
Answer Explanation: The Bonferroni correction helps control the familywise error rate in multiple comparisons.
14. What is a critical region in a hypothesis test?
c) The range of values that leads to acceptance of the null hypothesis
d) The range of values that leads to neither rejection nor acceptance of the null hypothesis
Answer: b) The range of values where the null hypothesis is likely false
Answer Explanation: The critical region is where the null hypothesis is rejected in favor of the alternative hypothesis.
15. What is the purpose of an effect size measure in hypothesis testing?
a) To determine the statistical power of the test
b) To quantify the strength of a significant result
Answer: b) To quantify the strength of a significant result
Answer Explanation: Effect size helps assess the practical significance of a significant result.
16. Fill in the blank: The ________ is the probability of correctly failing to reject a false null hypothesis.
b) Significance level
c) Type I error rate
d) Type II error rate
Answer: d) Type II error rate
Answer Explanation: Type II error is the probability of accepting a false null hypothesis.
17. In a two-sample t-test, what assumption is made about the variances of the two groups?
a) They must be equal
b) They must be different
c) Variance assumption is not relevant in a t-test
d) The larger variance must be known
Answer: a) They must be equal
Answer Explanation: The assumption of equal variances is crucial for the validity of the t-test.
18. Which statistical test is appropriate for comparing means of more than two independent groups?
a) Paired t-test
b) Wilcoxon signed-rank test
d) Mann-Whitney U test
Answer: c) ANOVA
Answer Explanation: ANOVA is used for comparing means of more than two groups.
19. What is the formula for the standard error of the mean in a one-sample t-test?
a) \( \frac{s}{\sqrt{n}} \)
b) \( \frac{s}{n} \)
c) \( \frac{\sigma}{\sqrt{n}} \)
d) \( \frac{\sigma}{n} \)
Answer: a) \( \frac{s}{\sqrt{n}} \)
Answer Explanation: The standard error of the mean in a t-test is calculated as the sample standard deviation divided by the square root of the sample size.
20. What is the purpose of the Shapiro-Wilk test in hypothesis testing?
a) To test the equality of variances
b) To test the normality of the data
c) To test the independence of observations
d) To test the homogeneity of regression slopes
Answer: b) To test the normality of the data
Answer Explanation: The Shapiro-Wilk test assesses whether a sample comes from a normally distributed population.
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MCQ 6 : The decision value to reject the null hypothesis incase of a right tail test is said to be
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Hypothesis Question 3 Detailed Solution. The correct answer is When there is no difference between the variables. Key Points. A null hypothesis, often denoted as "H0," is a fundamental concept in statistics and hypothesis testing. It represents a statement or assumption that there is no significant difference or effect.
View Answer. Answer: 0.005. 15 To test a hypothesis involving proportions, both np and n (1-p) should. A Be at least 30. B Be greater than 5. C Lie in the range from 0 to 1. D Be greater than 50. View Answer. Answer: Be greater than 5.
Hypothesis testing is a fundamental statistical concept used to make inferences about a population based on a sample of data. The Hypothesis Testing MCQs address various aspects of hypothesis testing, including definitions, types of errors, significance levels, p-values, effect size, critical regions, and specific tests like t-tests and ANOVA. 1.
This question is asking for a hypothesis test of the equality of two means in the setting of paired data. The data are paired because each participant was measured on two occasions, once on Dalmane and once on Halcion . Research Question. Are sleep durations shorter on Dalmane than on Halcion? Assumptions. d is distributed Normal (μd, σd 2/10)
This set of Probability and Statistics Multiple Choice Questions & Answers (MCQs) focuses on "Testing of Hypothesis". 1. A statement made about a population for testing purpose is called? a) Statistic. b) Hypothesis. c) Level of Significance. d) Test-Statistic. View Answer. 2.
Hypothesis Testing Multiple Choice Questions Answers (MCQs), Hypothesis Testing MCQ with Answers (chapter 4-1) PDF, free download Hypothesis Testing App to study online schools courses & e-Book. Hypothesis Testing MCQ with Answers PDF: Decision value to reject the null hypothesis incase of a two tail test is said to be; with answers .
Chapter 6: Multiple Choice Questions. Instructions. Answer the following questions and then press 'Submit' to get your score. Question 1 Rejection of the null hypothesis is a conclusive proof that the alternative hypothesis is. a) True b) False c) Neither Question 2 ...
MCQ TESTING OF HYPOTHESIS MCQ 13. A statement about a population developed for the purpose of testing is called: (a) Hypothesis (b) Hypothesis testing (c) Level of significance (d) Test-statistic MCQ 13. Any hypothesis which is tested for the purpose of rejection under the assumption that it is true is called: (a) Null hypothesis (b) Alternative hypothesis (c) Statistical hypothesis (d ...
"A hypothesis is a conjectural statement of the relation between two or more variables". (Kerlinger, 1956) "Hypothesis is a formal statement that presents the expected relationship between an independent and dependent variable."(Creswell, 1994) "A research question is essentially a hypothesis asked in the form of a question."
Research Hypothesis MCQs: Questions and Answers PDF Download. MCQ 1: A theoretical ideas that form the basis of research hypothesis is: A) Research hypothesis. B) Research analysis. C) Conceptual variables. D) Composed data. MCQ 2: A attribute, presuming different values among different people in different times or places, known as:
Sample Multiple Choice Questions for the material since Midterm 2. Sample questions from Midterms 1 and 2 are also representative of questions that may appear on the final exam. ... A hypothesis test is done in which the alternative hypothesis is that more than 10% of a population is left-handed. The p-value for the test is calculated to be 0.25.
Multiple Choice Questions 1. Branch of statistics which study the unknown aspects of a population distri-bution is (a) Estimation (b) Hypothesis testing (c) Inferential statistics (d) Descriptive statistics. 2. Branch of statistical inference which assumes that the underlying population distribution is known is (a) Parametric statistical inference
MULTIPLE CHOICE QUESTIONS Subject: Research Methodology Paper Code: BBA 206 Unit I Q 1. An image, perception or concept that is capable of measurement is called_____. A. Scale. B. Hypothesis. C. Type. D. Variable Q 2. In order to pursue the research, which of the following is priorly required? A. Developing a research design
Since sample size is large (n = 50 > 30) so by central limit theorem the sampling distribution of test statistic approximately follows standard normal distribution (as explained in Unit 1 of this course), i.e. T ~ N(0,1) Step IV: Calculate the value of test statistic on the basis of sample observations as. 52 50 2.
Formulation of hypothesis, Collection and interpretation of research evidence. 13. Which of the following statement is NOT true about Random Sampling? a) Random sampling is reasonably accurate b) Random sampling is free from personal biases c) An economical method of sampling d) Can be applied for all types of data collections 14.
A) Preparing the Research Design B) Developing the Research Hypothesis C) Formulation of research problem D) Execution of the Project 11. Who defined "Social research is a scientific undertaking which by means of logical methods, aim to discover new facts or old facts and to analyze their sequences,
Hypothesis Testing Questions & Answers PDF Download: MCQ Quiz 2. MCQ 6: The decision value to reject the null hypothesis incase of a right tail test is said to be. A) Calculated t must be greater than critical value. B) Calculated t is less than negative of critical t-value. C) Calculated t must be less than critical value.
Mcqs of Hypothesis (2) - Free download as Word Doc (.doc / .docx), PDF File (.pdf), Text File (.txt) or read online for free. mcq
Practice Plates Tectonics Multiple Choice Questions and Answers (MCQs), Wegener Continental Drift Hypothesis quiz answers PDF to learn online schools courses. Free learning App: Wegener Continental Drift Hypothesis MCQ App Download & e-Book for plate tectonics and mountain building, tectonic plates boundaries, sea floor spreading test prep for ...