Letxbe a random variable representing dividend yield of bank stocks. We may assume thatxhas a normal distribution with=2.6%.A random sample of10 bankstocks gave the following yields (in percents).

• 5.7
• 4.8
• 6.0
• 4.9
• 4.0
• 3.4
• 6.5
• 7.1
• 5.3
• 6.1

The sample mean is= 5.38%. Suppose that for the entire stock market, the mean dividend yield is=4.7%.Do these data indicate that the dividend yield of all bank stocks is higher than4.7%? Use=0.01. (a) What is the level of significance? (Enter a number.)

Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) (c)Find (or estimate) the P-value. (Enter a number. Round your answer to four decimal places.)