Hypothesis Testing Quiz 3

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the post is about Hypothesis Testing Quiz from Statistical Inference for the preparation of exams and different statistical job tests in Government/ Semi-Government or Private Organization sectors. These tests are also helpful in getting admission to different colleges and Universities. The Hypothesis Testing Quiz will help the learner understand the related concepts and enhance the knowledge.

Most of the MCQs on this page are covered from Estimate and Estimation, Hypothesis Testing, Parametric and Non-Parametric tests, etc. Let’s start the MCQs Hypothesis Testing quiz now.

1. Since   $\alpha$= probability of Type I error, then $1 -\alpha$

 
 
 
 
 

2. For testing the equality of several variances the appropriate test is

 
 
 
 

3. In testing the statistical hypothesis, which of the following statement(s) is false?

 
 
 
 
 

4. The average growth of a certain variety of pine trees is 10.1 inches in three years. A biologist claims that a new variety will have greater three-year growth. A random sample of 25 of the new variety has an average three-year growth of 10.8 inches and a standard deviation of 2.1 inches. The appropriate null and alternative hypotheses to test the biologist’s claim are:

 
 
 
 
 

5. In testing the difference between two populations, it is possible to use

 
 
 
 

6. You conduct a hypothesis test, you need to conclude and commit a type II error. Which of the following statements accurately describes this scenario?

 
 
 
 

7. In a one-sample hypothesis test of the mean, what are the typical options for the alternative hypothesis?

 
 
 
 

8. Which of the following is NOT correct?

 
 
 
 
 

9. To perform a run test for randomness the data must be

 
 
 
 

10. In hypothesis testing, type II error is represented by $\beta$ and the power of the test is $1-\beta$ then

 
 
 
 
 

11. In testing the statistical hypothesis, which of the following statement(s) is false?

 
 
 
 
 

12. A data analyst conducts a hypothesis test. They fail to reject the null hypothesis. What statement best describes their conclusion?

 
 
 
 

13. Which of the following statements is correct

 
 
 
 
 

14. In a statistical hypothesis test of equality of means, such as $H_0:\mu=10$, if $\alpha=5\%$

 
 
 
 
 

15. In statistical testing of the hypothesis, what happens to the region of rejection when the level of significance $\alpha$ is reduced?

 
 
 
 
 

16. In hypothesis testing, you need to conclude, and you fail to reject a null hypothesis, which is actually false. What type of error do they commit?

 
 
 
 

17. If a Chi-square goodness of fit test has 6 categories and an $N=30$, then the correct number of degrees of freedom is:

 
 
 
 

18. The following are percentages of fat found in 5 samples of each of the two brands of baby food:
A:    5.7, 4.5, 6.2, 6.3, 7.3
B:    6.3, 5.7, 5.9, 6.4, 5.1
Which of the following procedures is appropriate to test the hypothesis of equal average fat content in the two types of ice cream?

 
 
 
 
 

19. In testing of hypothesis, type-II error may be defined as:

 
 
 
 

20. Suppose you conduct a hypothesis test and choose a significance level of 5%. You calculate a p-value of 3.3%. What conclusion should be drawn?

 
 
 
 


Hypothesis Testing Quiz

Hypothesis Testing Quiz

  • In hypothesis testing, type II error is represented by $\beta$ and the power of the test is $1-\beta$ then
  • In statistical testing of the hypothesis, what happens to the region of rejection when the level of significance $\alpha$ is reduced?
  • Which of the following is NOT correct?
  • In testing the statistical hypothesis, which of the following statement(s) is false?
  • In testing the statistical hypothesis, which of the following statement(s) is false?
  • In a statistical hypothesis test of equality of means, such as $H_0:\mu=10$, if $\alpha=5\%$
  • Which of the following statements is correct
  • The average growth of a certain variety of pine trees is 10.1 inches in three years. A biologist claims that a new variety will have greater three-year growth. A random sample of 25 of the new variety has an average three-year growth of 10.8 inches and a standard deviation of 2.1 inches. The appropriate null and alternative hypotheses to test the biologist’s claim are:
  • Since   $\alpha$= probability of Type I error, then $1 -\alpha$
  • The following are percentages of fat found in 5 samples of each of the two brands of baby food:
    A:    5.7, 4.5, 6.2, 6.3, 7.3
    B:    6.3, 5.7, 5.9, 6.4, 5.1
    Which of the following procedures is appropriate to test the hypothesis of equal average fat content in the two types of ice cream?
  • In hypothesis testing, you need to conclude, and you fail to reject a null hypothesis, which is actually false. What type of error do they commit?
  • You conduct a hypothesis test, you need to conclude and commit a type II error. Which of the following statements accurately describes this scenario?
  • Suppose you conduct a hypothesis test and choose a significance level of 5%. You calculate a p-value of 3.3%. What conclusion should be drawn?
  • In a one-sample hypothesis test of the mean, what are the typical options for the alternative hypothesis?
  • A data analyst conducts a hypothesis test. They fail to reject the null hypothesis. What statement best describes their conclusion?
  • In testing the difference between two populations, it is possible to use
  • In testing of hypothesis, type-II error may be defined as:
  • If a Chi-square goodness of fit test has 6 categories and an $N=30$, then the correct number of degrees of freedom is:
  • For testing the equality of several variances the appropriate test is
  • To perform a run test for randomness the data must be

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15 thoughts on “Hypothesis Testing Quiz 3”

  1. Sir in statistical inference exercise 5 :Q11 sir how power of the test related to type 1&2 error both. Sir kindly guaid me in this regard.

    Reply

    • Thank you for visiting the site and asking questions.

      Type I and Type II errors are inversely related. A researcher wants both Type-I and Type-II errors to be small. In terms of significance level and power, Weiss says this means we want a small significance level (close to 0) and a large power (close to 1).
      Following are multiple ways of defining the power of test:

      • Power is the probability of rejecting the null hypothesis when, in fact, it is false.
      • Power is the probability of making a correct decision when the null hypothesis is false.
      • Power is the probability that a test of significance will pick up on an effect that is present.
      • Power is the probability that a test of significance will detect a deviation from the null hypothesis, should such a deviation exist.
      • Power is the probability of avoiding a Type II error.

      For further details see What is power of test

      Reply

  2. In Anova we compare means of two group on the basis of variances if variances are equal then means of two groups are same

    Reply

  4. Hi sir my name is shravan kumar shukla pls send me objective problem on probability , random variable , estimation inference with solution on my gmail account.

    Reply

  5. i am appearing in cssbb exam this year.pls help me by providing questions mainly on control charts ,doe and other relavent topics

    Reply

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