Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with = 3.0%. A random sample of 10 bank stocks gave the following yields (in percents).

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The 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 than 4.6%? Use = 0.01.

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

(b) 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.)