A random survey finds that 587 out of 675 adults say that they never snack during the day.

A.) With what margin of error can we find a 95% confidence interval of the proportion of adults who never snack?

B.) With what confidence can we report a margin of error of2 percent in giving a confidence interval of the proportion of adults who never snack?

2.you may have completed an experiment as a young child showing that it is difficult to distinguish between apples and onions by taste alone if one is not allowed to smell. You may have closed your eyes and pinched your nose while trying a sample of food. Apparently, from what I see on "Hell's Kitchen", it can even be hard to do this while only blindfolded. A person claims he can, in fact, distinguish the difference between apples and onions, and the following test is designed. He will be given a sample of each in random order to taste while blindfolded with his nose pinched. This will be repeated 15 times. Let p be the proportion of times he answers correctly.

A.) What are the null and alternative hypotheses?

B.) Suppose he correctly answers in 11 out of the 15 trials. What is the probability of answering exactly 11 of 15 if he were simply guessing?

C.) What is the P-value if he answers 11 out of 15, and interpret this in context.

D.) Is there sufficient evidence to reject the null hypothesis? Give and answer in context.