Question

Suppose that the null hypothesis is true, that the distribution of the test statistic, say T,...

Suppose that the null hypothesis is true, that the distribution of the test statistic, say T, is continuous with cumulative distribution function F and that the test rejects the null hypothesis for large values of T. Let V denote the p-value of the test.

a. Show that V = 1 − F(T).

b. Conclude that the null distribution of V is uniform.

c. If the null hypothesis is true, what is the probability that the p-value is greater than 0.1?

0 0
Add a comment Improve this question Transcribed image text
Know the answer?
Add Answer to:
Suppose that the null hypothesis is true, that the distribution of the test statistic, say T,...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final...

    Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim. Use the​ P-value method. Use the normal distribution as an approximation of the binomial distribution. 7. In a recent poll of 745 randomly selected adults, 585 said that it is morally wrong to not report all income on tax returns. Use a 0.01 significance level report all income on tax returns. Identify the null hypothesis, altemative hypothesis, test...

  • 3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis...

    3. Testing a population mean The test statistic (Chapter 11) Aa Aa You conduct a hypothesis test about a population mean u with the following null and alternative hypotheses: Ho: u-25.8 H1: <25.8 Suppose that the population standard deviation has a known value of a observations, which provides a sample mean of % 30.7. 17.8. You obtain a sample of n =62 Since the sample size large enough, you assume that the sample mean X follows a normal distribution. Let...

  • Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...

    Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. A test of sobriety involves measuring the subject's motor skills. A study of n = 20 randomly selected sober subjects take the test and produce a mean score of X = 41.0, and we know that o = 3.7. At the 0.01 level of significance, test the claim that the true mean score for all sober subjects is...

  • Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final...

    Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method. Use either the T Calculator or the Normal Calculator to compute the P-value of the following test statistics. (a) The test statistic in a two-tailed is z = 1.39. Round to four decimal places. (b) Find the P-value for a right-tailed test with n = 27 and test statistic t = 1.502. Round to...

  • say a student uses their personalized class data set to test the hypothesis that more than...

    say a student uses their personalized class data set to test the hypothesis that more than 50% of the people in class are in Chemistry, and rejects the null hypothesis at the 2% significance level. Consider the following statements. (i) The proportion of students in this class who are in Life Sciences is in fact greater than 50%. (ii) The p-value is greater than .02. (iii) The probability of Type II error is less than than 2%. (iv) A Type...

  • Question 13 20 pts Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the...

    Question 13 20 pts Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Various temperature measurements are recorded at different times during the summer in Holtville on n-60 days. The mean of 8 = 100°F is obtained, with 0 - 10°F. Using the 0.05 significance level, test the claim that the mean temperature is over 995 Hop-100; Hy w 100. Test statistic: 2-0.77. P-value: 0.7794. Because the...

  • Question 8 2 pts When calculating a t-test statistic in a hypothesis test, it is based...

    Question 8 2 pts When calculating a t-test statistic in a hypothesis test, it is based on information obtained only from the population. True False Question 9 2 pts A continuous normal distribution has the same probability at each individual value of X. True False Question 10 2 pts Confidence intervals and hypothesis testing are examples of how a researcher performs inferential statistics. True False

  • 1.Suppose that the standard two-sided t test for the null hypothesis β2 = 0 results in...

    1.Suppose that the standard two-sided t test for the null hypothesis β2 = 0 results in a p-value of 0.43 . What can you conclude? a)There is not enough evidence to say that β2=0. b)There is not enough evidence to say that β2≠0. c)There is enough evidence to say that β2=0. d)There is enough evidence to say that β2≠0. 2.We have a sample with means  y = 5 and x = 2. If least squares regression of y on x results...

  • Suppose you wish to conduct a test of the research hypothesis that the median of a population is ...

    Not sure of my answers Suppose you wish to conduct a test of the research hypothesis that the median of a population is greater than 73. You randomly sample 20 measurements from the population and determine that 13 of them exceed 73. Set up and conduct thee appropriate test of hypothesis at the 0.10 level of significance. Be sure to specify all necessary assumptions. What are the null and alternative hypotheses for this hypothesis tast? OA. Ho: n-13 He :...

  • Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final...

    Identify the null​ hypothesis, alternative​ hypothesis, test​ statistic, P-value, conclusion about the null​ hypothesis, and final conclusion that addresses the original claim In a study of 420,089 cell phone users, 120 subjects developed cancer of the brain or nervaus system. Test the claim af a somewhat common belief that such cancers are affected by cell phone use. That is, test the claim that cell phone users develop cancer of the brain or nervous system at a rate that is different...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT