An opinion poll asks, "Are you afraid to go camping alone in a forest? Suppose that the proportion of all adults who would say "Yes" to this question is 40%.

a. You live in the zip code 12345 and you claim that the proportion of adults who would answer "Yes" to the previous question would be greater than 40%. What would be the null and alternative hypothesis to test your claim?

b. You collect a random sample of 64 adults from the 12345-zip code and you find that 31.25% of the adults would be afraid to go camping alone in a forest. Would this result be statistically significant at a 5% level of significance?

Check your requirement for using the normal model:

Calculate your p-value using StatCrunch. (Copy your whole table here or write it down).

Based on your p-value make a conclusion.

Interpret your p-value in this context of the problem.