Question

Suppose 241 subjects are treated with a drug that is used to treat pain and 55 of them developed nausea. Use a 0.01 significance level to test the claim that more than 20% of users develop nausea. Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is (Round to two decimal places as needed.) Identify the P-value for this hypothesis test. The P-value for this hypothesis test is . (Round to three decimal places as needed.) Identify the conclusion for this hypothesis test. O A. Fail to reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. OB. Fail to reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. OC. Reject Ho. There is sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. OD. Reject Ho. There is not sufficient evidence to warrant support of the claim that more than 20% of users develop nausea. Click to select your answer(s).

Answer 1

H0: p = 0.20

Ha: p > 0.20

Sample proportion $\hat{p}$ = 55 / 241 = 0.2282

Test statistics

z = ($\hat{p}$ - p ) / Sqrt (p ( 1 - p) / n)

= (0.2282 - 0.20) / Sqrt ( 0.20 ( 1 - 0.20) / 241)

= 1.09

This is test statistics value.

p-value = P(Z > z)

= P(Z > 1.09)

= 0.138 (From Z table)

Since p-value > 0.01 level, Do not eject H0.

Fail to reject H0, There is not sufficient evidence to warrant support of the claim that more than

20% of the users develop nausea.