(in percents). Let x be a random variable representing dividend yleld of bank stocks. We may assume that x has a normal distribution with o = 2.6%. A random sample of 10 bank stocks gave the following yields 5.7'48'6.0 4A9l4'0 3.4 11657 7153161 Use a = 0.01. The sample mean is X = 5.38%. Suppose that for the entire stock market, the mean dividend yield is u = 4.4%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.4%? (2) (b) What is the level of significance? State the null and alternate hypotheses (in percent). (Enter != for # as needed.) Will you use a left-tailed, right-tailed, or two-tailed test? left-tailed two-talled right-tailed What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. We'll use the standard normal, since we assume that x has a normal distribution with known o. 'We'll use the standard normal, since we assume that x has a normal distribution with unknown o. Wwe'll use the Student's t, since we assume that x has a normal distribution with known o. We'll use the Student's t, since n is large with unknown o. Comjpute the z value of the sample test statistic. (Round your answer to two decimal places.) Find (or estimate) the P-value. (Round your answer to four decimal places.) P-value = Sketch the sampling distribution and show the area corresponding to the P-value. e