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 if they are satisfied with the way things are going in their life. Find the mean and standard deviation for the sampling distribution of p, the proportion of Americans who are satisfied with the way things are going in their life.

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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 if they are satisfied with the way things are
going in their life. Find the mean and standard deviation for the sampling distribution of p, the
proportion of Americans who are satisfied with the way things are going in their life.
Mean
(Round the standard deviation to 4 decimal places).
(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?
(Round to 4 decimal places).
Standard deviation
(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?
(yes, no).
Transcribed Image Text: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 if they are satisfied with the way things are going in their life. Find the mean and standard deviation for the sampling distribution of p, the proportion of Americans who are satisfied with the way things are going in their life. Mean (Round the standard deviation to 4 decimal places). (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? (Round to 4 decimal places). Standard deviation (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? (yes, no).
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