4. (12pts) A manager would like to estimate the proportion of his employees' time spent performin various gardening and lawn care activities including mowing, trimming, raking and miscellanec The manager estimates that mowing should spend around 15% of the total, and the manager wo 95% confidence that the resulting estimate will be within 5% of the true value. a) What sample size should the manager use? b) Suppose that the manager has made 185 random observations of a typical worker, with the results: What is the most likely true proportion of time spent mowing, and whether the manger wi the result? 4. (12pts) A manager would like to estimate the proportion of his employees' time spent performing various gardening and lawn care activities including mowing, trimming, raking and miscellaneous. The manager estimates that mowing should spend around 15% of the total, and the manager wants a 95% confidence that the resulting estimate will be within 5% of the true value. a) What sample size should the manager use? b) Suppose that the manager has made 185 random observations of a typical worker, with the following results: What is the most likely true proportion of time spent mowing, and whether the manger will satisfy the result? 4. (12pts) A manager would like to estimate the proportion of his employees' time spent performin various gardening and lawn care activities including mowing, trimming, raking and miscellanec The manager estimates that mowing should spend around 15% of the total, and the manager wo 95% confidence that the resulting estimate will be within 5% of the true value. a) What sample size should the manager use? b) Suppose that the manager has made 185 random observations of a typical worker, with the results: What is the most likely true proportion of time spent mowing, and whether the manger wi the result? 4. (12pts) A manager would like to estimate the proportion of his employees' time spent performing various gardening and lawn care activities including mowing, trimming, raking and miscellaneous. The manager estimates that mowing should spend around 15% of the total, and the manager wants a 95% confidence that the resulting estimate will be within 5% of the true value. a) What sample size should the manager use? b) Suppose that the manager has made 185 random observations of a typical worker, with the following results: What is the most likely true proportion of time spent mowing, and whether the manger will satisfy the result