im having a hard time getting these ones right ive tried but i cant seem to get them correct any assistance would be greatly appreciated. sorry if this is too long

1.) Letxbe a random variable representing dividend yield of bank stocks. We may assume thatxhas a normal distribution with=2.7%.A random sample of10 bankstocks gave the following yields (in percents).

5.74.86.04.94.03.46.57.15.36.1

The sample mean isX bar= 5.38%. Suppose that for the entire stock market, the mean dividend yield is=4.6%.Do these data indicate that the dividend yield of all bank stocks is higher than4.6%? Use=0.01.

(a)What is the level of significance? (Enter a number.)

(b) Compute thezvalue of the sample test statistic. (Enter a number. Round your answer to two decimal places.)

(c)Find (or estimate) theP-value. (Enter a number. Round your answer to four decimal places.)

2.)In a marketing survey, a random sample of1012supermarket shoppers revealed that274always stock up on an item when they find that item at a real bargain price.

(a)Letprepresent the proportion of all supermarket shoppers who always stock up on an item when they find a real bargain.Find a point estimate forp. (Enter a number. Round your answer to four decimal places.)

(b)Find a 95% confidence interval forp. (For each answer, enter a number. Round your answers to three decimal places.)

lower limit

upper limit

(c)What is the margin of error based on a 95% confidence interval? (Enter a number. Round your answer to three decimal places.)