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The Quickpay insurance company interviewed a random sample of 450 college students to find out the type of life insurance preferred. The results follow: Insurance Preference Gender Whole Life Term Life Female 78 155 Male 116 101 a) Is there evidence that life insurance preference of male students and the life insurance preference of female students are dependent. Use a 2.5% level of significance. b) The Quickpay insurance company wanted to know whether the female students in college preferred a whole life insurance. They surveyed 233 college female students and asked about the preference of insurance. After tallying the responses, they found out that 140 chose the whole life insurance. Estimate with 99% confidence the proportion of all females who chose to prefer a whole life insurance. c) This part has no link to part a) to b). When the problem objective is to describe a population of nominal data with exactly two categories, which test(s) could be used to properly analyze the data?(Ensure all work is shown) A survey conducted by a research team was set to investigate how years of education, tenure in current employment, and age, are related to annual income. A sample of 20 employees is selected and the Excel Regression output is provided: SUMMARY OUTPUT Regression Statistics Multiple R 0.949819857 R Square 0.90215776 Adjusted R Square 0.88381234 Standard Error 17275.00469 Observations 20 ANOVA df SS MS F Regression 3 ???? 146754416.7 ???? Residual 16 47748125 ???? Total 19 48801 1375 Coefficients Standard Error t Stat Intercept 74215.79876 21589.39824 -3.437603862 Education (No. of years) 4364.741946 1542.536912 2.82958671 Length of tenure (No. of years) 6571.9131 1154.555085 5.692160718 Age (No. of years) 916.4669052 728.6505348 1.257759188 a) Write the population regression line. b) Test the validity of the model at 97.5%. c) Is there enough evidence to infer that if Length of tenure decreases, annual income also decreases? Test at the 99% confidence level. d) Estimate the Annual Income for a person with 15 years of education and who is 30 years of age. The length of tenure for the person is unavailable