According to the 2018 American Community Survey, 80% of the 120 million households in the US...

According to the 2018 American Community Survey, 80% of the 120 million households in the US have broadband Internet subscriptions. Consider drawing a random sample of n = 256 households from all households in the US. Let p̂ denote the sample proportion of households that have broadband Internet subscriptions.

a) State the mean, standard deviation, and the approximate shape for the sampling distribution of p̂ .

b) Based on your answer in part a, what is the approximate probability that p̂ is greater than 0.78 but less than 0.85?

Solutions

Expert Solution

The mean of the sampling distribution of

The standard deviation of the sampling distribution of

Also, the approximate shape for the sampling distribution of is approximately normal i.e.

Let me know in the comments if anything is not clear. I will reply ASAP! Please do upvote if satisfied!

orchestra answered 1 year ago

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