Let x be a random variable representing dividend yield of bank stocks. we may assume that x has a normal distribution with σ = 3.0%. 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 6.1the sample mean is x = 5.38%. suppose that for the entire stock market, the mean dividend yield is μ = 4.7%. do these data indicate that the dividend yield of all bank stocks is higher than 4.7%? use α = 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: μ > 4.7%; h1: μ = 4.7%; right-tailed h0: μ = 4.7%; h1: μ < 4.7%; left-tailed h0: μ = 4.7%; h1: μ ≠ 4.7%; two-tailed h0: μ = 4.7%; h1: μ > 4.7%; 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 unknown σ. the standard normal, since we assume that x has a normal distribution with known σ. the student's t, since n is large with unknown σ. the student's t, since we assume that x has a normal distribution with known σ.what is the value of the sample test statistic? (round your answer to two decimal places.)