Suppose there is a claim that a certain population has a mean, u, that is less than 9. You want to test this claim. To do so, you collect a large random samplefrom the population and perform a hypothesis test at the 0.10 level of significance. To start this test, you write the null hypothesis H and the alternativehypothesis H, as follows.Ho: µ = 9H1: µ<9Suppose you also know the following information.The critical value is – 1.282 (rounded to 3 decimal places).The value of the test statistic is -2.405 (rounded to 3 decimal places). (b) Based on your answer to part (a), choose the correct statement.O The value of the test statistic lies in the rejection region.O The value of the test statistic doesn't lie in the rejection region.(c) Based on your answer to part (b), which statement below is true at the 0.10 level of significance?O The null hypothesis should be rejected.O The null hypothesis should not be rejected.?

Answered: Image /qna-images/answer/9b8953e4-a255-49b1-a892-f3b721423e71.jpg

Answered: (b) Based on your answer to part (a),…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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b. Identify the test statistic for this hypothesis test. c. Identify the P-value for this hypothesis test.
For a hypothesis test, if the p-value for the test statistic is less than the significance level, which one of the following is a correct conclusion? Group of answer choices Reject the null hypothesis. There is enough evidence to conclude the alternative hypothesis is true. Fail to reject the null hypothesis. There is enough evidence to conclude the null hypothesis is true. Reject the null hypothesis. There is not enough evidence to conclude the alternative hypothesis is true. Fail to reject the null hypothesis. There is not enough evidence to conclude the alternative hypothesis is true.
When conducting a hypothesis test (or test of significance), select all the true statement. assume the alternative hypothesis is true. significance level is selected before collecting data. None of these (can be more than one answer) Select the correct answer for the blank of each of the following statements.(i) A smaller significance level makes it (choose one: more difficult, easier) to reject the null hypothesis.(ii) The p-value of a two-tail (or two-side) test is (choose one: twice(double), half of, same as) the p-value of a one-tail (or one-side) test if everything else stays the same.(iii) It is (choose one: possible, impossible) to make both type I error and type II error in one hypothesis test at the same time.(iv) Statistical significance (choose one: implies, does not imply) practical significance.
6. Which of the following statements are true? Report true statement(s), if any. No reasons necessary. You don't need to write out the statement(s) - just write (a), (b) or whatever. (a) A P-value conveys much information about the strength of evidence against the null hypothesis and allows an individual decision maker to draw a conclusion at any specified significance level. (b) If the P-value is greater than the significance level a, we reject the null hypothesis at Jevel a.
Passed Failed o Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.01 significance level. White 15 16 candidates Minority candidates 10 24 Determine the null and alternative hypotheses. O A. Hn: Awhite candidate is more likely to pass the test than a minority candidate H, A white candidate is not more likely to pass the test than a minority candidate. O B. Ho: White and minority candidates have the same chance of passing the test H,: White and minority candidates do not have the same chance of passing the test O C. Ho: White and minority candidates do not have the same chance of passing the test. H,: White and minority candidates have the same chance of passing the test. O D. Ho: Awhite candidate is not more likely to pass the test than a minority candidate. H: Awhite candidate is more likely to pass the test than a minority candidate. Determine the test…
In each part, we have given the significance level and the P-value for a hypothesis test. For each case determine if the null hypothesis should be rejected. Write "reject" or "do not reject" (without quotations - if you like use copy and paste to avoid typos). (a) α= 0.01, P = 0.06 answer: (b) a = 0.06, P = 0.001 answer: (c) a = 0.07, P = 0.06 answer:
A poll of 2,122 randomly selected adults showed that 93% of them own cell phones. The technology display below results from a test of the claim that 92% of adults own cell phones. Use the normal distribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). Test of p = 0.92 vs p *0.92 Sample X 1 N 2,122 1970 Sample p 0.928369 95% CI The P-value is (Round to three decimal places as needed.) (0.917397,0.939341) a. Is the test two-tailed, left-tailed, or right-tailed? O Two-tailed test O Left-tailed test O Right tailed test b. What is the test statistic? The test statistic is (Round to two decimal places as needed.) c. What is the P-value? Z-Value 1.42 P-Value 0.155
You receive a brochure from a large university. The brochure indicates that the mean class size for full-time faculty is fewer than 31 students. You want to test this claim, You randomly select 18 classes taught by full-time faculty and determine the class size of each. The results are shown in the table below, At a = 0.01. can vou support the university's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. 32 26 27 30 31 37 23 28 320 29 27 37 32 31 25 31 29 22 (a) Write the claim mathematically and identify Ho and Ha. Which of the following correctly states Ho and Ha? O C. Ho: H=31 O A. Ho: H> 31 Hai H531 O B. Ho: H231 Ha:H31 (b) Use technology to find the P-value. P= (Round to three decimal places as needed.) (c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject Ho because the P-value is less than the significance level. O B. Reject H because the P-value is less than the…
Passed Failed White candidates Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.01 significance level. Minority candidates Determine the null and alternative hypotheses. O A. Ho: White and minority candidates have the same chance of passing the test. H: White and minority candidates do not have the same chance of passing the test. O B. Ho: A white candidate is more likely to pass the test than a minority candidate. H: A white candidate is not more likely to pass the test than a minority candidate. O C. Ho: A white candidate is not more likely to pass the test than a minority candidate. H: A white candidate is more likely to pass the test than a minority candidate O D. Ho: White and minority candidates do not have the same chance of passing the test. H: White and minority candidates have the same chance of passing the test. Determine the test statistic. =…
(i) Determine if the hypothesis test is a one tailed test or two tailed. (ii) Find the P-value. Round the answer to four decimal places. (iii) Make the decision and summarize the results.
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Ho when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P= 0.0961 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject Ho because the P-value, 0.0961, is greater than a =0.01. O B. Fail to reject Ho because the P-value, 0.0961, is greater than a = 0.01. O C. Reject Ho because the P-value, 0.0961, is less than a = 0.01. O D. Fail to reject Ho because the P-value, 0.0961, is less than a = 0.01. (b) Do you reject or fail to reject Ho at the 0.05 level of significance? O A. Fail to reject Ho because the P-value, 0.0961, is less than a = 0.05. O B. Fail to reject Ho because the P-value, 0.0961, is greater than a = 0.05. O C. Reject Ho because the P-value, 0.0961, is less than a = 0.05. O D. Reject Ho because the P-value, 0.0961, is greater than a = 0.05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? O A. Fail to…
Passed Failed White Results from a civil servant exam are shown in the table to the right. Is there sufficient evidence to support the claim that the results from the test are discriminatory? Use a 0.05 significance level. 16 14 candidates Minority candidates 7 21 Determine the null and alternative hypotheses. O A. Ho: White and minority candidates do not have the same chance of passing the test. H4: White and minority candidates have the same chance of passing the test. B. Ho: A white candidate is more likely to pass the test than a minority candidate. H,:A white candidate is not more likely to pass the test than a minority candidate. Ho: A white candidate is not more likely to pass the test than a minority candidate. H,: A white candidate is more likely to pass the test than a minority candidate. D. Ho: White and minority candidates have the same chance of passing the test. H,: White and minority candidates do not have the same chance of passing the test. Determine the test…

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