Let X be a random variable representing dividend yield of banks 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.)

"A Homework Week 7 (ADA) - MAT X https://www.webassign.net/web/Student/Assignment-Responses/last?dep=23387199&token=685BE9D4823319D6419873FF90. percents). et x be a random variable represenung urvuenu yield of bank stocks. we may assume that x has a normal uIsuruQuon WILT 6 - 3.2%. A random sample of 10 bank stocks gave the TonowIng yields ( 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 a = 4.6%. Do these data indicate that the dividend yield of all bank stocks is higher than 4.6%? Us 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? OH.: ul = 4.6%; H, : ul 4.6%; right-tailed OH,: ul > 4.6%; H, : u = 4.6%; right-tailed O.H.: u - 4.6%; H, : u = 4.6%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since n is large with unknown a. 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 a. The standard normal, since we assume that x has a normal distribution with unknown a. 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.) 2:39 PM W X N O Type here to search O SONY ASSIST (WEB VAIO