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...

See similar textbooks

Similar questions

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.
There are 3 parts to this question The value of the standard score is (round to two decimal places as needed) The critical value(s) is/are (use a comma to separate the answers as needed. Round to two decimal places as needed.) Determine whether the alternative hypothesis is supported at a 0.01 significance level.
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:
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…
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject H, when the level of significance is (a) a = 0.01, (b) a = 0.05, and (c) a = 0.10. P= 0.0406 (a) Do you reject or fail to reject H, at the 0.01 level of significance? O A. Reject H, because the P-value, 0.0406, is less than a = 0.01. O B. Fail to reject H, because the P-value, 0.0406, is less than a = 0.01. OC. Reject H, because the P-value, 0.0406, is greater than a = 0.01. O D. Fail to reject H, because the P-value, 0.0406, is greater than a = 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Fail to reject H, because the P-value, 0.0406, is greater than a= 0.05. O B. Reject H, because the P-value, 0.0406, is less than a = 0.05. O C. Reject H, because the P-value, 0.0406, is greater than a = 0.05. O D. Fail to reject H, because the P-value, 0.0406, is less than a = 0.05. (c) Do you reject or fail to reject H, at the 0.10 level of significance? O A. Reject H,…
Is there a relationship between the number of votes received by candidates for public office and the amount spent on their campaigns? Candidate Amount spent (000) Votes received (000)Weber $3 14Taite $4 7Spencer $2 5Lopez $5 12Using a 0.01 significance level, do the formal hypothesis test (using critical values).Remember to show your steps (including all relevant information) show the steps on how to solve it
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= 0.1089 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Reject Ho because the P-value, 0.1089, is greater than a= 0.01. O B. Reject H, because the P-value, 0.1089, is less than a= 0.01. O C. Fail to reject Ho because the P-value, 0.1089, is less than a = 0.01. D. Fail to reject Ho because the P-value, 0.1089, is greater 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, 0.1089, is greater than a = 0.05. 0.05. O B. Reject H, because the P-value, 0.1089, is greater than O C. Fail to reject Ho because the P-value, 0.1089, is less than a = 0.05. O D. Reject H, because the P-value, 0.1089, is less than a = 0.05.
What are the two decisions that you can make from performing a hypothesis test? What are the two decisions that you can make from performing a hypothesis test? Select all that apply. O A. reject the null hypothesis O B. accept the alternative hypothesis O C. accept the null hypothesis O D. fail to reject the alternative hypothesis O E. reject the alternative hypothesis O F. fail to reject the null hypothesis OG. make a type I error O H. make a type Il error
The Pavalue 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)g=0 10 P=0.0816 (a) Do you reject or fail to reject Ho at the 0.01 level of significance? O A. Fail to reject Ho because the P-value, 0.0816, is less than a = 0.01. O B. Fail to reject H, because the P-value, 0.0816, is greater than a= 0.01. OC. Reject H, because the P-value, 0.0816, is less than a=0.01. O D. Reject Ho because the P-value, 0.0816, is greater thana= 0.01. (b) Do you reject or fail to reject H, at the 0.05 level of significance? O A. Reject Ho because the P-value, 0.0816, is less than a =0.05. O B. Fail to reject H, because the P-value, 0.0816, is greater than a= 0.05. OC. Reject H, because the P-value, 0.0816, is greater than oa 0.05. O D. Fail to reject Ho because the P-value, 0.0816, is less than a = 0,05. (c) Do you reject or fail to reject Ho at the 0.10 level of significance? O A. Reject Ho because the…
(c) Decide whether to reject or fail to reject the null hypothesis. Which of the following is correct? O A. Fail to reject H, because the P-value is greater than the significance level. O B. Reject Hn because the P-value is less than the significance level. O C. Fail to reject H, because the P-value is less than the significance level. O D. Reject H, because the P-value is greater than the significance level. (d) Interpret the decision in the context of the original claim. O A. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is fewer than 32 students. O B. At the 5% level of significance, there is sufficient evidence to support the claim that the mean class size for full-time faculty is more than 32 students. O C. At the 5% level of significance, there is not sufficient evidence to support the claim that the mean O D. At the 5% level of significance, there is not sufficient evidence to support the claim…
The Test statistic test: The P value: The Critical Value: The Decision Rule: The Decision: The Conclusion:

SEE MORE QUESTIONS

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS