In 2021, many agricultural firms, which reported their profits, had beaten the market- profit estimate. Suppose that a sample of 162 companies showed 104 beat estimates, 29 matched estimates, and 29...

Extracted text: In 2021, many agricultural firms, which reported their profits, had beaten the market- profit estimate. Suppose that a sample of 162 companies showed 104 beat estimates, 29 matched estimates, and 29 fell short. (i) Determine the margin of error, and provide a 95% confidence interval for the proportion that beat estimates. (ii) How large a sample is needed if the desired margin of error is .05? O a) (i) The cConfidence interval is exactly between 0.3682 and 0.5158 (ii) Around 154 O b) (i) The confidence interval is exactly between 0.5682 and 0.7158 (ii) Around 354 O) None of the answers are correct O d) (i) The confidence interval is exactly between 0.1682 and 0.4158 (ii) Around 254 O e) (i) The confidence interval is exactly between 0.7682 and 0.9158 (ii) Around 554