Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with σ = 3.3%. A random sample of 10 bank stocks 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 x = 5.38%. Suppose that for the entire stock market, the mean dividend yield is μ = 4.0%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.0%? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H0: μ = 4%; H1: μ > 4%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since we assume that x has a normal distribution with unknown σ. (c) Compute the t value of the sample test statistic. (Round your answer to two decimal places.) (d) Find (or estimate) the P-value. (Round your answer to four decimal places.)