Proportion of PA adults that own an iPhone

In a random sample of 100 Pennsylvania adults (i.e., n trials), 68 indicated they owned an iPhone.

https://app.minitab.com/

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Question 1

Use the information above, Minitab, and the five-step hypothesis testing procedure outlined below to determine if there is evidence that the population proportion of all Pennsylvania adults who own iPhones is different from 0.8.

A: Check the assumptions below.

Please state if assumptions are met

B: Write the hypothesis below.

Question 2: Use Minitab to calculate the test statistic and p-value. Include the supporting Minitab output for full credit with correct answers.

Question 4: Decide to reject or fail to reject the null. Why?

Question 5: State a "real world" conclusion. Specifically address the population proportion of interest. Explain your answer. Explain your answer.

Question 5: We are going to construct a 95% confidence interval to estimate the population proportion of all Pennsylvanian adults who own an iPhone.

First, we must determine if the normal approximation assumptions are met to compute a confidence interval.

Please state if assumptions are met. Show your work.

Question Set 6:

Use Minitab to construct a 95% confidence interval to estimate the population proportion of all Pennsylvanian adults who own an iPhone. Include your Minitab results.

Question Set 1_C:

What sample size would be needed to construct a 95% confidence interval to estimate the proportion of Pennsylvanian adults who own an iPhone with a margin of error of 5% (i.e., 0.05)? Use the sample proportion (p^) for the proportion estimate (p^~).

Show your calculations. Make sure to round your answer to the nearest whole number.