Letxbe a random variable representing dividend yield of bank stocks. We may assume thatxhas a normal distribution with=3.0%.A random sample of10 bankstocks gave the following yields (in percents).5.74.86.04.94.03.46.57.15.36.1The sample mean is= 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.)