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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,

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 584 malessurveyed, 177 responded"Yes"; among the 591 femalessurveyed, 205 responded"Yes." Does the evidence suggest a higher proportion of females are annoyed by thisbehavior? Complete parts(a) through(g) below.

(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

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