Researchers wondered if there was a difference between males and females in regard to some common annoyances. They asked a random sample of males andfemales, the followingquestion: "Are you annoyed by people who repeatedly check their mobile phones while having anin-person conversation?" Among the 554 malessurveyed, 196 responded"Yes"; among the 550 femalessurveyed, 220 responded"Yes." Does the evidence suggest a higher proportion of females are annoyed by thisbehavior? Complete parts(a) through(g) below.

(a) Determine the sample proportion for each sample.

The proportions of the females and males who took the survey who are annoyed by the behaviorinquestion are

and

, respectively.

(d) Describe the sampling distribution of

pfemale

pmale. Draw a normal model with the area representing theP-value shaded for this hypothesis test.

The sampling distribution is approximately normal with mean

and standard deviation

(e) Determine theP-value based on the model from part(d).

First find the test statistic for this hypothesis test.

(Round to two decimal places asneeded.)

Determine theP-value for this hypothesis test.

(Round to three decimal places asneeded.)

(g) Based on theP-value, what does the sample evidencesuggest? Thatis, what is the conclusion of the hypothesistest? Assume an =0.01 level of significance.

A.

Donotreject H0. There isnot sufficient evidence at the =0.01 level of significance to suggest a higher proportion of females are annoyed by the behaviorinquestion.

B.

Reject H0. There isnot sufficient evidence at the =0.01 level of significance to suggest a higher proportion of females are annoyed by the behaviorinquestion.

C.

Reject H0. There is sufficient evidence at the =0.01 level of significance to suggest a higher proportion of females are annoyed by the behaviorinquestion.

D.

Donotreject H0. There is sufficient evidence at the =0.01 level of significance to suggest a higher proportion of females are annoyed by the behaviorinquestion.