Question

do you go to church? the gallup poll asked a random sample of 1785 adults whether they attended church during the past week. let p^ be the proportion of people in the sample who attended church. a newspaper report claims that 40% of all u.s. adults went to church last week. suppose this claim is true. (a) what is the mean of the sampling distribution of p^? why?

Answer 1

The mean of the sampling distribution of p is 0.4.

What is mean of the sampling distribution?

Mean is the average of set data include set data of sampling distribution. Mean can be calculate by sum all data value and divided the result by numbers of data, or mathematically is

Mean = $\frac{\sum x}{n}$

Given,

a newspaper report claimed that 40% of all US adults went to church last week. This tells us that the average US adult going to church in the last week was 40% from all US adults, which in mathematics is called mean.

Why?

Mean is the average of set data, in the question set data are US adults represented by a random sample of 1785 adults. The average US adults going to church is 40% or 0.4 which represents the mean.

Thus, the mean of the sampling distribution of p is 0.4.

Learn more about sampling distribution here:

brainly.com/question/13068170

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