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 Họ: 4- 11%; H: - 11%; two-tailed O Ho: - 11%; H: u= 11%; two-tailed O Ho: H= 11%; H: u > 11%; right-tailed O Họ: 4- 11%; H:u< 11%; left-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 o. O The standard normal, since we assume that x has a normal distribution with unknown a. 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.)

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Nationally, about 11% of the total U.S. wheat crop is destroyed each year
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.
9 12 13 22 12 13
6 10 25 21 15 10 12
14
6
7
The sample mean is x = 12.9%. 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 o = 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: u = 11%; H1: u * 11%; two-tailed
O Ho: u * 11%; H1: u = 11%; two-tailed
O Họ: u = 11%; H1: u > 11%; right-tailed
O Ho: u = 11%; H1: u < 11%; left-tailed
(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.
O The Student's t. sincen is large with unknown o.
O 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 ơ.
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.)
Transcribed Image Text:Nationally, about 11% of the total U.S. wheat crop is destroyed each year 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. 9 12 13 22 12 13 6 10 25 21 15 10 12 14 6 7 The sample mean is x = 12.9%. 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 o = 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: u = 11%; H1: u * 11%; two-tailed O Ho: u * 11%; H1: u = 11%; two-tailed O Họ: u = 11%; H1: u > 11%; right-tailed O Ho: u = 11%; H1: u < 11%; left-tailed (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. O The Student's t. sincen is large with unknown o. O 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 ơ. 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.)
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