The columns in the table below contain the Race/Ethnicity of U.S. Public Schools for a recent year, the percentages for the Advanced Placement Examinee Population for that class, and the Overall Student Population. Suppose the right column contains the result of a survey of 1,000 local students from that year who took an AP Exam. AP Examinee Overall Student Survey Race/Ethnicity Population Population Frequency Asian, Asian American, or Pacific 10.2% 5.4% 113 Islander Black or African-American 8.2% 14.5% 94 Hispanic or Latino 15.5% 15.9% 136 American Indian or Alaska Native 0.6% 1.2% 10 White 59.4% 61.6% 604 Not reported/other 6.1% 1.4% 43 Perform a goodness-of-fit test to determine whether the local results follow the distribution of U.S. AP examinee population, based on ethnicity. (Use a significance level of 0.05.) Part (a) State the null hypothesis. The local results and the U.S. AP examinee population are independent events. The distributions of the local results and the U.S. AP examinee population are the same. The distributions of the local results and the U.S. AP examinee population are not the same. The local results follow the distribution of the U.S. AP examinee population. The local results do not follow the distribution of the U.S. AP examinee population. Part (b) State the alternative hypothesis. O The local results and the U.S. AP examinee population are independent events. The distributions of the local results and the U.S. AP examinee population are the same. The distributions of the local results and the U.S. AP examinee population are not the same. The local results follow the distribution of the U.S. AP examinee population. O The local results do not follow the distribution of the U.S. AP examinee population.What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) |U State the distribution to use for the test. 02% Oz? Ote Ot5 What is the test statistic? (Round your answer to two decimal places.) |H What is the p-value? (Round your answer to four decimal places.) : Explain what the p-value means for this problem. 0 If H0 is true, then there is a chance equal to the pvalue that the value of the test statistic will be equal to or less than the calculated value. 0 If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. 0 If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. 0 If H0 is false, then there is a chance equal to the pvalue that the value of the test statistic will be equal to or greater than the calculated value. Part (g) Sketch a picture of this situation. Shade the region(s) corresponding to the p-value. 1/2(p-value) p-value 1/2(p-value) O X O 1/2(p-value) 1/2(p-value) p-value X O X OEl Part (h) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write the appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) (ii) Decision: 0 reject the null hypothesis 0 do not reject the null hypothesis (iii) Reason for decision: 0 Since a > p-value, we reject the null hypothesis. 0 Since a < pvalue, we do not reject the null hypothesis. 0 Since a < pvalue, we reject the null hypothesis. 0 Since a > pvalue, we do not reject the null hypothesis. (iv) Conclusion: 0 There is sufcient evidence to conclude that the local results do not follow the distribution of the U.S. AP examinee distribution. 0 There is not sufcient evidence to conclude that the local results do not follow the distribution of the us. AP examinee distribution. Submit Answer A recent debate about where in the United States skiers believe the skiing is best prompted the following survey. Test to see if the best ski area is independent of the level of the skier. (Use a significance level of 0.05.) U. S. Ski Area Beginner Intermediate Advanced ___ Utah Colorado El Part (a) State the null hypothesis. 0 Ski area is independent of the level of the skier. 0 Ski area is dependent on the level of the skier. El Part (b) State the alternative hypothesis. 0 Ski area is dependent on the level of the skier. O Ski area is independent of the level of the skier. El Part (c) What are the degrees of freedom? (Enter an exact number as an integer, fraction, or decimal.) S State the distribution to use for the test. 0 t4 01% Ot2 02% What is the test statistic? (Round your answer to two decimal places.) lU What is the pvalue? (Round your answer to four decimal places.) :1 Explain what the p-value means for this problem. 0 If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. 0 If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. 0 If H0 is false, then there is a chance equal to the p-value that the value of the test statistic will be equal to or greater than the calculated value. 0 If H0 is true, then there is a chance equal to the p-value that the value of the test statistic will be equal to or less than the calculated value. Part (g) Sketch a picture of this situation. Label and scale the horizontal axis, and shade the region(s) corresponding to the p-value. p-value 1/2(p-value) 1/2(p-value) X X O O 1/2(p-value) 1/2(p-value) p-value 2 O H OIndicate the correct decision ("reject" or "do not reject" the null hypothesis) and write the appropriate conclusion. (i) Alpha: (ii) Decision: 0 reject the null hypothesis 0 do not reject the null hypothesis (iii) Reason for decision: 0 Since a < pvalue, we do not reject the null hypothesis. 0 Since a > pvalue, we reject the null hypothesis. 0 Since a > p-value, we do not reject the null hypothesis. 0 Since a < pvalue, we reject the null hypothesis. (iv) Conclusion: 0 The best ski area and level of skier are not independent. 0 The best ski area and level of skier are independent. Submit