Has a statistically significant decline occurred in the proportion of workers receiving free company-sponsored health care insurance?

According to the federal government, 24% of workers covered by their company’s healthcare plan were not required to contribute to the premium (Statistical Abstract of the UnitedStates: 2006). A recent study found that 81 out of 400 workers sampled were not requiredto contribute to their company’s health care plan.a. Develop hypotheses that can be used to test whether the percent of workers not requiredto contribute to their company’s health care plan has declined.b. What is a point estimate of the proportion receiving free company-sponsored healthcare insurance?c. Has a statistically significant decline occurred in the proportion of workers receivingfree company-sponsored health care insurance? Use a .05.Shorney Construction Company bids on projects assuming that the mean idle time perworker is 72 or fewer minutes per day. A sample of 30 construction workers will be usedto test this assumption. Assume that the population standard deviation is 20 minutes.a. State the hypotheses to be tested.b. What is the probability of making a Type II error when the population mean idle timeis 80 minutes?c. What is the probability of making a Type II error when the population mean idle timeis 75 minutes?d. What is the probability of making a Type II error when the population mean idle timeis 70 minutes?e. Sketch the power curve for this problem.