2. [-l20 Points] BBBASICSTATSACC 9.1.019. ASK YOUR TEACHER PRACTICE ANOTHER Letx be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with o' = 3.2%. 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 ; = 5.38%. Suppose that for the entire stock market, the mean dividend yield is M = 4.9%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.9%? Use a = 0.01. (a) What is the level of significance? (Enter a number.) State the null and alternate hypotheses. will you use a left-tailed, right-tailed, or twotailed test? Ho: )4 = 4.9%; H1: [4 4.9%; two-tailed " Ho: ,4 > 4.9%; H1: ,4 = 4.9%; right-tailed H0: ,4 = 4.9%; H1: [4 4.9%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The standard normal, since we assume that x has a normal distribution with known a'. The Student's t, since we assume that x has a normal distribution with known 0'. " The Student's 1', since n is large with unknown 0. ' ' The standard normal, since we assume that x has a normal distribution with unknown 0'. Compute the 2 value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) (c) Find (or estimate) the Pvalue. (Enter a number. Round your answer to four decimal places.)