Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hall.+ An Insurance company is studying wheat hall damage claims In do. A random sample of 16 claims In the county reported the percentage of their wheat lost to hall. 5 8 12 12 22 12 5 2 22 1 The sample mean is x = 12.1%. Let x be a random variable that represents the percentage of wheat crop in that county lost to hall. Assume that x has a normal distribution a way) from the national mean of 11%? Use of = 0.01. eat crop lost to hall in that county is different (either (a) What is the level of significance? State the null and alternate hypotheses. Will you use a left-talled, right-tailed, or two-talled test? O Hou = 11%; Hj: u 11%; right-talled O Ho: M - 11%; He H = 11%; two-talled 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 o. The standard normal, since we assume that x has a normal distribution with known o. The Student's t, since we assume that x has a normal distribution with known o. The standard normal, since we assume that x has a normal distribution with unknown of Compute the z value of the sample test statistic. (Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.) sketch the sampling distribution and show the area corresponding to the p-value A 0-3 -2 A US 6 8:33 O O S backs m