5. In last year's health care survey of a senior community, 40% of the participants voted for Free Vision Care, 30 % for Free Medical Supplies and Equipment, 20% for Free Medical Travel, 6% for Free Dental Cleaning Service, and 4% for the Free Hearing Care. [20] a. A recent survey of 1450 respondents found that 25% support the Free Medical Supplies and Equipment. Test whether this is sufficient evidence to conclude that the level of support has dropped since previous survey. Use the 5% level of significance. b. In part a, suppose you want to estimate the national level of support for the Free Medical Supplies and Equipment using a 95% confidence interval with a standard of error (within) 1%. What sample size would be required? c. Suppose that, in a random sample of 21 senior males, only 5 indicated a preference for the Free Medical Supplies and Equipment. Test whether this is sufficient evidence to suggest that the level of support for the Free Medical Supplies and Equipment among senior males is higher than the 30% share of the survey. Use the 0.05 level of significance