Question

Say you survey 500 people in a certain community to see how many own a shed. Of the 500, you find that x-many say they do own a shed, where x = 363

Part 1)

Say it was thought that the population proportion was p = 0.7. Clearly, you found more than that in your sample. Test the hypothesis p = 0.7 against the alternative hypothesis that p has increased. Specifically, find a P-value (not to be confused with p) and make a decision based on that (there’s no right answer...). Say alpha was .05.

Part 2)

Assuming your null hypothesis from part 1, what would be the probability of getting 360 or more people who answer yes to having a shed (out of a sample of 500 people)?

Answer 1