A simple random sample of size n = 200 individuals who are currently employed is asked if they work at home at least once per week. Of the 200 employed individuals surveyed, 39 responded that they did work at home at least once per week. Construct a 99% confidence interval for the population proportion of employed individuals who work at home at least once per week. The lower bound is . (Round to three decimal places as needed.) The upper bound is . (Round to three decimal places as needed.)Determine the t-value in each of the cases. 5 Click the icon to View the table of areas under the t-distribution. (3) Find the t-value such that the area in the right tail is 0.005 with 6 degrees of freedom. (Round to three decimal places as needed.) (b) Find the t-value such that the area in the right tail is 0.025 with 29 degrees of freedom. (Round to three decimal places as needed.) (c Find the t-value such that the area left of the t-value is 0.20 with 6 degrees of freedom. [Hint: Use symmetry.] (Round to three decimal places as needed.) (d) Find the critical t-value that corresponds to 80% condence. Assume 10 degrees of lreedom. (Round to three decimal places as needed.)