### P-Value Decision Information for Hypothesis TestingThe P-value for a hypothesis test is shown. Use the P-value to decide whether to reject \( H_0 \) when the level of significance is (a) \(\alpha = 0.01\), (b) \(\alpha = 0.05\), and (c) \(\alpha = 0.10\).**P = 0.0619**---#### (a) Do you reject or fail to reject \( H_0 \) at the 0.01 level of significance?- \( \circ \) **A. Fail to reject \( H_0 \) because the P-value, 0.0619, is less than \(\alpha = 0.01\).**- \( \circ \) B. Reject \( H_0 \) because the P-value, 0.0619, is less than \(\alpha = 0.01\).- \( \circ \) C. Reject \( H_0 \) because the P-value, 0.0619, is greater than \(\alpha = 0.01\).- \( \circ \) D. Fail to reject \( H_0 \) because the P-value, 0.0619, is greater than \(\alpha = 0.01\).---#### (b) Do you reject or fail to reject \( H_0 \) at the 0.05 level of significance?- \( \circ \) A. Reject \( H_0 \) because the P-value, 0.0619, is greater than \(\alpha = 0.05\).- \( \circ \) **B. Reject \( H_0 \) because the P-value, 0.0619, is less than \(\alpha = 0.05\).**- \( \circ \) C. Fail to reject \( H_0 \) because the P-value, 0.0619, is greater than \(\alpha = 0.05\).- \( \circ \) D. Fail to reject \( H_0 \) because the P-value, 0.0619, is less than \(\alpha = 0.05\).---#### (c) Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance?- ### Hypothesis Testing - Decision Making at the 0.10 Level of Significance#### Question:(c) Do you reject or fail to reject \( H_0 \) at the 0.10 level of significance?#### Answer Choices:- **A.** Fail to reject \( H_0 \) because the P-value, 0.0619, is greater than \( \alpha = 0.10 \).- **B.** Reject \( H_0 \) because the P-value, 0.0619, is greater than \( \alpha = 0.10 \).- **C.** Reject \( H_0 \) because the P-value, 0.0619, is less than \( \alpha = 0.10 \).- **D.** Fail to reject \( H_0 \) because the P-value, 0.0619, is less than \( \alpha = 0.10 \).### Explanation:To determine whether to reject or fail to reject the null hypothesis \( H_0 \), compare the P-value to the level of significance \( \alpha \). The decision rule is as follows:- If the P-value is less than or equal to \( \alpha \), reject \( H_0 \).- If the P-value is greater than \( \alpha \), fail to reject \( H_0 \).Given \( \alpha = 0.10 \) and the P-value is 0.0619:Since 0.0619 < 0.10, **reject \( H_0 \).**Therefore, the correct answer is:**C.** Reject \( H_0 \) because the P-value, 0.0619, is less than \( \alpha = 0.10 \).

It is given that P = 0.0619Level of significances are i) α = 0.01, ii) α = 0.05, iii) α = 0.10

Answered: The P-value for a hypothesis test is…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The following hypothesis test is to be conducted. Ho: Median ≤ 190 H₂: Median > 190 A sample of 30 provided 22 observations greater than 190, 3 observations equal to 190, and 5 observations less than 190. Use α = 0.01. Find the value of the test statistic. (Round your answer to two decimal places.) z = 2.56 X Find the p-value. (Round your answer to four decimal places.) p-value = 0.0052 X What is your conclusion? Reject Ho. The population median is less than or equal to 190. Do not reject Ho. The population median is less than or equal to 190. Reject Ho. The population median is greater than 190. Do not reject Ho. The population median is greater than 190.
The test statistic of z=1.68 is obtained when testing the claim that p≠0.282. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of α=0.05, should we reject H0 or should we fail to reject H0?
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Upper H 0 when the level of significance is (a) alpha equals0.01 , (b) alpha equals0.05 , and (c) alpha equals0.10 . Pequals 0.0683 (a) Do you reject or fail to reject Upper H 0 at the 0.01 level of significance? A. Fail to reject Upper H 0 because the P-value, 0.0683 , is less than alpha equals0.01 . B. Fail to reject Upper H 0 because the P-value, 0.0683 , is greater than alpha equals0.01 . C. Reject Upper H 0 because the P-value, 0.0683 , is less than alpha equals0.01 . D. Reject Upper H 0 because the P-value, 0.0683 , is greater than alpha equals0.01 . (b) Do you reject or fail to reject Upper H 0 at the 0.05 level of significance? A. Fail to reject Upper H 0 because the P-value, 0.0683 , is less than alpha equals0.05 .…
The P-value for a hypothesis test is shown. Use the P-value to decide whether to reject Upper H 0 when the level of significance is (a) alpha equals0.01 , (b) alpha equals0.05 , and (c) alpha equals0.10 . Pequals 0.0943 (a) Do you reject or fail to reject Upper H 0 at the 0.01 level of significance? A. Reject Upper H 0 because the P-value, 0.0943 , is greater than alpha equals0.01 . B. Fail to reject Upper H 0 because the P-value, 0.0943 , is less than alpha equals0.01 . C. Reject Upper H 0 because the P-value, 0.0943 , is less than alpha equals0.01 . D. Fail to reject Upper H 0 because the P-value, 0.0943 , is greater than alpha equals0.01 . (b) Do you reject or fail to reject Upper H 0 at the 0.05 level of significance? A. Reject Upper H 0 because the P-value, 0.0943 , is less than alpha equals0.05 . B. Fail…
The following table contains the number of successes and failures for three categories of a variable. Test whether the proportions are equal for each category at the α=0.1 level of significance. Category 1 Category 2 Category 3 Failures 32 51 57 Successes 39 54 73 State the hypotheses. Choose the correct answer below. A. H0: The categories of the variable and success and failure are independent. H1: The categories of the variable and success and failure are dependent. B. H0: The categories of the variable and success and failure are dependent. H1: The categories of the variable and success and failure are independent. C. H0: p1=p2=p3 H1: At least one of the proportions is different from the others. D. H0: μ1=E1 and μ2=E2 and μ3=E3 H1: At least one mean is different from what is expected. What is the P-value? nothing (Round to three decimal places as needed.) What conclusion can be…
Assume a significance level of α = 0.05 and use the given information to complete parts (a) and (b) below. Original claim: Less than 52% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.1763. GECE I all the cause the value to its a cual C. Fail to reject Ho because the P-value is greater than a. OD. Reject Ho because the P-value is less than or equal to α. b. Without using technical terms, state a final conclusion that addresses the original claim. Which of the following is the correct conclusion? OA. There is sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 52%. OB. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 52%. OC. The percentage of adults that would erase all of their personal…
Test the hypothesis using the P-value approach. Be sure to verify the requirements of the test. H0: p=0.9 versus H1: p>0.9 n=200; x=190; α= 0.05 Calculate the test statistic, z0.
Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is μ<98.6°F. The sample size is n=5 and the test statistic is t=−2.648. P-value=enter your response here (Round to three decimal places as needed.)
The test statistic of z = 0.53 is obtained when testing the claim that p > 0.5. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. Find the P-value. Using a significance level of α = 0.05, should we reject H0 or should we fail to reject H0?
Life on Other Planets Forty-three percent of people believe that there is life on other planets in the universe. A scientist does not agree with this finding. He surveyed 120 randomly selected individuals and found 69 believed that there is life on other planets. At α=0.01, is there sufficient evidence to conclude that the percentage differs from 43% ? Use the P -value method with tables. :H0 ▼(Choose one) :H1 ▼(Choose one) This hypothesis test is a ▼(Choose one) test. (b)Find the critical value(s). Round the answer to two decimal places. If there is more than one critical value, separate them with commas. Critical Value(s): (c)Compute the test value. Round the answer to at least two decimal places. z= (d)Make the decision. (choose one) the null hypothesis (e)Summarize the results. There is ▼(Choose one) that the percentage of people who believe that there is life on other planets differs from 43% .
Solve the problem. A researcher conducts a hypothesis test on a population proportion. Her null and alternative hypothesis are Ho: p = 0.6 and Ha: P < 0.6. The test statistic and p-value for the test are z = -1.51 and p-value = 0.0655. For a significance level of a = 0.05, choose the correct conclusion regarding the null hypothesis. O None of these. O There is sufficient evidence to warrant rejection of the null hypothesis. There is insufficient evidence to warrant rejection of the null hypothesis. STEP 1/3 Routin We're findi answer you In the mea DIVE DEEP
Use technology to find the P-value for the hypothesis test described below. The claim is that for 12 AM body temperatures, the mean is µ< 98.6°F. The sample size is n = 4 and the test statistic is t= - 1.149. P-value = (Round to three decimal places as needed.)

SEE MORE QUESTIONS

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS