Letxbe a random variable representing dividend yield of bank stocks. We may assume thatxhas a normal distribution with=2.2%.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 isx= 5.38%. Suppose that for the entire stock market, the mean dividend yield is=4.6%. Do these data indicate that the dividend yield of all bank stocks is higher than4.6%? Use=0.01. (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? H₀:= 4.6%;H₁:> 4.6%; right-tailedH₀:= 4.6%;H₁:< 4.6%; left-tailedH₀:= 4.6%;H₁:4.6%; two-tailedH₀:> 4.6%;H₁:= 4.6%; right-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student'st, since we assume thatxhas a normal distribution with known.The Student'st, sincenis large with unknown.The standard normal, since we assume thatxhas a normal distribution with unknown.The standard normal, since we assume thatxhas a normal distribution with known. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find (or estimate) theP-value. (Round your answer to four decimal places.)