Question: According to a study done by the Gallup organization, the proportion of Americans who are satised with the way things are going in their lives

According to a study done by the Gallup organization, the proportion of Americans who are satisﬁed with the way things are going in their lives is 0.82.

(a) Suppose a random sample of 100 Americans is asked, “Are you satisﬁed with the way things are going in your life?” Describe the sampling distribution of , the proportion of Americans who are satisﬁed with the way things are going in their life. Be sure to verify the model requirements.

(b) In the sample obtained in part (a), what is the probability the proportion who are satisﬁed with the way things are going in their life exceeds 0.85?

(c) Would it be unusual for a survey of 100 Americans to reveal that 75 or fewer are satisﬁed with the way things are going in their life? Why?

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