# 1) Late payment of medical claims can add to the cost of health care. Suppose 72.6_% of the claims were paid in full when first submitted for one insurance company. The insurance company developed a n

1) Late payment of medical claims can add to the cost of health care. Suppose 72.6_% of the claims were paid in full when first submitted for one insurance company. The insurance company developed a new payment system in an effort to increase this percentage. A sample of 270 claims processed under this system revealed that 202 of the claims were paid in full when first submitted. Complete parts a and b below.Based on the sample_data, test the hypothesis using an alpha level equal to 0.01. Discuss the results of the test.Find the_z-test statistic.Determine a conclusion. Choose the correct answer below.A.Donotreject H0_, because the_p-value isnot less than the level of significance._Therefore, the statement that the population proportion exceeds 0.726 isnot statistically supported by these sample data.B.Reject H0_, because the_p-value isnot less than the level of significance._Therefore, the statement that the population proportion exceeds 0.726 isnot statistically supported by these sample data.C.Donotreject H0_, because the_p-value isnot less than the level of significance._Therefore, the statement that the population proportion exceeds 0.726 is statistically supported by these sample data.D.Reject H0_, because the_p-value isnot less than the level of significance._Therefore, the statement that the population proportion exceeds 0.726 is statistically supported by these sample data.2)One of the editors of a major automobile publication has collected data on 30 of the_best-selling cars in the United States. The data are shown in the accompanying table. The editor is particularly interested in the relationship between highway mileage_(miles per_gallon) and curb weight of the vehicles. Complete parts a through c below. Use a significance level of 0.05 where needed.Discuss what the plot implies about the relationship between the two variables. Choose the correct answer below.A.A_positive, linear relationship exists between x and y.B.A_negative, linear relationship exists between x and y.C.A_positive, curvilinear relationship exists between x and y.D.There is no relationship.Compute the correlation coefficient for the two variables and test to determine whether there is a linear relationship between the curb weight and the highway mileage of automobiles. r=? _(Round to three decimal places as_needed.)What are the appropriate hypotheses to test for a linear_relationship?Calculate the_t-test statistic for correlation.Determine the critical_value(s) for the rejection region for the test statistic t. Select the correct choice below and fill in the answer box to complete your choice. Assume a significance level of 0.05 for the hypothesis test.Since the test statistic _isis not in the rejection_region, _do not rejectreject the hypothesis. Conclude there _is notis a significant linear relationship between the curb weight and the highway mileage of automobiles.Compute the linear regression equation based on the sample data.A car weighs approximately 4,020 pounds. Provide an estimate of the average highway mileage expected to obtain from this model.The expected highway mileage is 3)Suppose a random sample of 80 companies taken in 2005 showed that 20 offered_high-deductible health insurance plans to their workers. A separate random sample of 100 firms taken in 2006 showed that 44 offered_high-deductible health insurance plans to their workers. Based on the sample_results, can you conclude that there is a higher proportion of companies offering_high-deductible health insurance plans to their workers in 2006 than in 2005_? Conduct your hypothesis test at a level of significance _=0.10.Let p1 be the population proportion from 2006_, and let p2 be the population proportion from 2005. Identify the and alternative hypotheses. Choose the correct answer below.H0_: p1_p2=0HA_: p1_p2_0B.H0_: p1_p2_0HA_: p1_p2=0C.H0_: p1_p2_0HA_: p1_p20D.H0_: p1_p20HA_: p1_p2_0E.H0_: p1_p2<0HA_: p1_p2_0Calculate the test statistic.Find the_p-value.State the conclusion. Choose the correct answer below.A.Reject the hypothesis. There isnot sufficient evidence at significance level _=0.05 that the mean_past-due amount for customers who have been called is greater than _$40.00.B.Donotreject the hypothesis. There is sufficient evidence at significance level _=0.05 that the mean_past-due amount for customers who have been called is greater than _$40.00.C.Donotreject the hypothesis. There isnot sufficient evidence at significance level _=0.05 that the mean_past-due amount for customers who have been called is not equal to _$40.00.D.Reject the hypothesis. There is sufficient evidence at significance level _=0.05 that the mean_past-due amount for customers who have been called is greater than _$40.00.