Let a be a random variable representing dividend yield of bank stocks; We may assume that a has a normal di A random sample of 10 bank stocks gave the following goulds (in percents): 5.7 4.8 6.8 4.8 4.8 24 6.5 7.1 5.3 61 The sample cess at 3 2 5.38%. Buppass that for the entire stock market. the mean dividend yield is g - 4:5%. Do these data indicate that the dividend yield of all bank slacks is higher than 4 5%? Use a = D.04, (a) What is the laval of significance? (Enter a member) State the full and sharnate hypothesis, Will you can a left-tailaid, right-tailed, or two-tailed test? O Hot # 3 4.5WINjug . 45marright taded (b) what sampling latribution will you use ? Explain the rationale for your choice of sampling distribution. O The standard mal distribution with unknown O The Student's to since we assume that i has a normal distribution with knows O The standard normal, since that , has a normal distribution with known The Student's t sinen a is large with uni Compute the 2 value of the sample best statistic. a number. Round your answer to two decimal places.) (c) Find (me estimate) the P-value. (E Shutch the sampling distribution and show ending to the A-value. (Select the correct graph.) o -3 -2 41 -2 -2 -1 2 O -3 -2 -1 (d) Based on your answers in parts () to (c], will you reject or fail to reject the null hypothesis? Are the date statistically significant at laval a? O At the a # 0.01 level, wa reject the null bryp include the data are stat O At the # . 0.01 lowel ire reject the null hypothesis and conclude the data are not statistically significant. O At the # = 0.03 level, we fail to reject the null hypothesis ude the data are statistically significant. O At the # " D.Ol level, we fail to reject the fall hypothesis and conclude the data are not statistically significant. () mata your come sion in the con O Thar is suffichim nce at the 0.01 in O. There is insufficient evidence at the 0.01 level to co entire stock mattent. Need Help?mag 1:37 PM