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e H webassignnet QuiszhameLg MATH... 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. 17 8 11 9 14 20 12 11 5 11 26 22 12 7 14 4 The sample mean is )7 = 12.7%. 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 signicance? State the null and alternate hypotheses. Will you use a left-tailed, right-tailed, or two-tailed test? 6 Ho: ,4 t 11%; H1: ,4 = 11%; two-tailed \"j Ho: [4 = 11%; H1: 14 > 11%; right-tailed '7 Ho: /4 = 11%; H1: 14 3 11%; two-tailed \"i H0214 = 11%; H1: 14 G webassign.net C G Login with SSO - Zoom Rich LTI Quiz_9_Chapter_9 - MATH... SALT: Statistical Analysis... Course Hero In A Statistical Test, We H... Symposium Is Part Of A L... If We Reject The Null Hyp... Sketch the sampling distribution and show the area corresponding to the P-value. O-3 -2 -1 0 1 2 O-3 -2 -1 0 1 2 WebAssign Plot O-3 -2 2 -3 -2 -1 2 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? At the a = 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. At the a = 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. At the a = 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. e) State your conclusion in the context of the application. There is sufficient evidence at the 0.01 level to conclude that the average hail damage to wheat crops in the county in Colorado differs from the national average. There is insufficient evidence at the 0.01 level to conclude that the average hail damage to wheat crops in the county in Colorado differs from the national average