Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail. An insurance company is studying wheat hail damage claims in a county in Colorado. A random sample of 16 claims in the county reported the percentage of their wheat lost to hail. 15 7 11 10 13 21 13 9 6 10 23 21 13 7 10 5 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 hail. Assume that x has a normal distribution and Ģ = 5.0%. Do these data indicate that the percentage of wheat crop lost to hail in that county is different (either way) from the national mean of 11%? Use Ģ = 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: Ģ = 11%; H1: Ģ > 11%; right-tailed H0: Ģ ā 11%; H1: Ģ = 11%; two-tailed H0: Ģ = 11%; H1: Ģ ā 11%; two-tailed H0: Ģ = 11%; H1: Ģ < 11%; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since we assume that x has a normal distribution with known Ģ. The standard normal, since we assume that x has a normal distribution with unknown Ģ. The standard normal, since we assume that x has a normal distribution with known Ģ. The Student's t, since n is large with unknown Ģ. 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.)