QUESTION 4 In a random sample of 92 ears of corn, farmer Carl finds that 7 of them have worms. He wants to find the 90% confidence interval for the proportion of all his corn that has worms. (a) What is the point estimate for the proportion of all of Carl's corn that has worms? Round your answer to 3 decimal places., (b) Construct the 90% confidence interval for the proportion of all of Carl's corn that has worms. Round your answers to 3 decimal places. Write your answer in the following form (lower limit, upper limit) (c) Based on your answer to part (d), are you 90% confident that less than 15% of Carl's corn has worms? Choose a, b, c, or d a. No, because 0.15 is below the upper limit of the confidence interval. b. Yes, because 0.15 is below the upper limit of the confidence interval. c. No, because 0.15 is above the upper limit of the confidence interval. d. Yes, because 0.15 is above the upper limit of the confidence interval. QUESTION 5 In a prior sample of corn, farmer Carl finds that 16% of the sample has worms but the margin of error for his population estimate was too large. He wants an estimate that is in error by no more than 1.5 percentage points at the 90% confidence level. Enter your answers as whole numbers. (a) What is the minimum sample size required to obtain this type of accuracy? Use his sample proportion in your calculation. The minimum sample size is ears of corn. proportion? (b) What is the minimum sample size required to obtain this type of accuracy when you assume no prior knowledge of the sample The minimum sample size is ears of corn