Question

A simple random sample of 140 residents in a city was polled the week after the Game of Thrones finale, and 75 of them said they'd watched the finale.

a) Construct a 95% confidence interval for the population of the residents of the city who watched Game of Thrones.

b) Season 7 of Game of Thrones was the third most watched TV program in this city's history, with 48.1% of TV sets in America tuned in. Someone claims that the percentage of people who watched this season in this city was less than 48.1%. Does the confidence interval contradict this claim? Explain.

c) Use the results from the sample of 140 to estimate the sample size necessary for a 95% confidence interval to have a margin of error of 0.025.

Step 1

In this question we have given the data, on the basis of data we have to calculate the Confidence interval, conduct the hypothesis testing and sample size 95% confidence interval to have a margin of error of 0.025

Step 2

**Part A)**

Here I have calculated the confidence interval, for the population of residents of the city who watched game of thrones.

Calculations have shown on whiteboard.

Step 3

**Part B) **

Now on the basis of confidence interval calculated in last part we have test whether the claim made by a person that the percentage of people who watched this season in this city was less than 48.1%.

Calculations have shown on whiteboard.

- Since the null hypothesis p = 0.481, lies in the con...

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