2. [10/20 Points] DETAILS PREVIOUS ANSWERS BBBASICSTATSACC 9.1.019. MY NOTES PRACTICE ANOTHER bet cape a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with & - 1.8%. A random sample of 10 bank stocks gave the following yields (in The sample mean is : - 5.38%."suppose that for the entire stock market, the mean dividend yield is a - 4.6%. Do these data Indicate that the dividend yield of all bank stocks is higher than 4.67 Use What Is the level of significance? (Enter a number.) State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? Ho: # - 4-6%; H1: # # 4.6%; two-tailed o Ho: # - 4.6%; Hy: A 4.6%; Hj: y = 4.6%; right-tailed Ho: x - 4.6%; Higg > 4.6%; 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 n is large with unknown a. The standard normal, since we assume that x has a normal distribution with unknown .. The Student's t, since we assume that x has a normal distribution with known a. Compute the z value of the sample test statistic. (Enter a number. Round your answer to two decimal places.) clFind.(or estimate) the P-value. (Enter a number. Round your answer to four decimal places.) CHOICE A sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.) CHOICE C -3 -3 -2 -1 CHOICE D d) Based on_your answers.in parts.(a)_to.(c), will.youreject.on fail.to reject.the.nullhypothesis_ Are.the.data.statistically significant at level a? At the a - 0.01 level, we reject the null hypothesis and condude the data are statistically significant. At the a - 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a - 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. . At the . - 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. =) State your conclusion in the costext of the application. There is sufficient evidence at the 0.01 level to conclude that the average ved for bank stocks is higher than that of the entire stock market. There Is insufficient evidence at the 0.01 level to conclude that the average vield for bank stocks is higher than that of the entire stock market