Letxbe a random variable representing dividend yield of bank stocks. We may assume thatxhas a normal distribution with=3.3%.A random sample of10 bankstocks gave the following yields (in percents).
SE A SE E RC CL 4 RE | 12 4 BE | Tri B. BC |B. BC|B RE |60 TH SE @ PE PI AT B H A X XH + X - C webassign.net/web/Student/Assignment-Responses/submit?dep=26627226&tags=autosave#question4261406_0 B Update ULTAILS DUDAJICJIMIOMCC 7. 1.V 13. IVITINOILS AJA TOUR ILACTILA TRACTICL ANUTTILA Let x be a random variable representing dividend yield of bank stocks. We may assume that x has a normal distribution with o = 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 u = 4.7%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.7%? 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 two-tailed test? O Ho: M = 4.7%; Hj: u > 4.7%; right-tailed O Ho: M = 4.7%; H1: H # 4.7%; two-tailed O Ho: M = 4.7%; H1: H 4.7%; H1: M = 4.7%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since n is large with unknown o. O The standard normal, since we assume that x has a normal distribution with unknown o. O The standard normal, since we assume that x has a normal distribution with known o. O The Student's t, since we assume that x has a normal distribution with known o. 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.) Sketch the sampling distribution and show the area corresponding to the P-value. (Select the correct graph.) Type here to search 5:08 PM 99+ 23 6/20/2021 19SE A SE E RC CL 4 RE | 12 4 BE | Tri B. BC |B. BC|B RE|60 TH SE @ PE | PI A T B H A X H + X C webassign.net/web/Student/Assignment-Responses/submit?dep=26627226&tags=autosave#question4261406_0 B Update O -3 -2 -1 0 1 2 3 O -3 -2 -1 0 1 2 3 O -3 -2 -1 2 -3 -2 -1 2 3 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. (e) State your conclusion in the context of the application. O There is sufficient evidence at the 0.01 level to conclude that the average yield for bank stocks is higher than that of the entire stock market. O There is insufficient evidence at the 0.01 level to conclude that the average yield for bank stocks is higher than that of the entire stock market. Type here to search 5:08 PM 99 + 6/20/2021 19
