11%; right-tailedO Ho: H + 11%; H,: u = 11%; two-tailedO Ho: H = 11%; H,: u + 11%; two-tailed(b) What sampling distribution will you use? Explain the rationale for your choice of sampling...

Extracted text: ASK YOUR TEACHER Nationally, about 11% of the total U.S. wheat crop is destroyed each year by hail.t 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. 14 7 10 11 12 19 14 11 9 8 23 19 13 7 10 7 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 a = 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 a = 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? O Ho: H = 11%; H,: µ < 11%;="" left-tailed="" o="" ho:="" u="11%;" h,:="" µ=""> 11%; right-tailed O Ho: H + 11%; H,: u = 11%; two-tailed O Ho: H = 11%; H,: u + 11%; two-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t, since n is large with unknown a. The standard normal, since we assume that x has a normal distribution with unknown o. O The Student's t, since we assume that x has a normal distribution with known o. O The standard normal, since we assume that x has a normal distribution with known o. 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. MacBook Pro esc delete $4 8. 9. 4. * 00