• When there are calculations,show formulas and ALL OF your work and CIRCLE or HIGHLIGHTyour final answer.
• Be sure to show hypotheses in the proper format to denote proportion or means (e.g.,

H₀: =10)

• If noted, round based on the instructions in each question
• No excel allowed for p-value or anything

A randomly selected sample of 100 residents were asked whether or not they have visited a park in the past 3 months.Fifty-six percent of the 100 residents surveyed answeredyes.

1. 1. Based on the sample data (and in preparation to calculate the confidence interval), what is the standard error of the sample proportion of residents who answered yes to the question (i.e., standard error of p-hat)?Rounding note: Try not to round the numerator or denominator for your equation. Round the final answer to two decimal places for question 3b.
2. 1. Construct a 95% confidence interval for the proportion of Sunny County residents that have visited the park in the past 3 months. Write the confidence interval formally (i.e., indicate the lower and upper bounds of the interval).Rounding note: Use the rounded standard error in 3a.Plug that in and do not round at any other point in the equation. Final answer can be displayed as a proportion or percentage (don't round).
3. 1. Interpret the 95% confidence interval you created in the context of the problem.