Question: Next three questions are related to the following binary sample data In the sample for question 13, the gender of employees is shown below (Male
| Next three questions are related to the following binary sample data | ||||||||
| In the sample for question 13, the gender of employees is shown below (Male = 0, Female = 1). | ||||||||
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 1 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | |
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 1 | |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 1 | |
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 0 | |
| 0 | 1 | 1 | 0 | 0 | 0 | 0 | 0 | |
| 1 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 0 | 0 | 0 | 1 | 0 | 1 | 0 | 0 | |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 1 | 0 | 1 | 1 | 1 | 0 | 0 | 0 | |
| 1 | 0 | 0 | 1 | 1 | 0 | 1 | 0 | |
| 1 | 0 | 1 | 1 | 0 | 0 | 1 | 0 | |
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 0 | |
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 1 | |
| 0 | 0 | 0 | 0 | 0 | 1 | 1 | 0 | |
| 0 | 0 | 1 | 1 | 0 | 0 | 0 | 0 | |
| 0 | 1 | 1 | 0 | 0 | 1 | 0 | 0 | |
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | |
| 0 | 1 | 0 | 0 | 0 | 0 | 1 | 1 | |
| 0 | 0 | 1 | 0 | 0 | 1 | 0 | 0 | |
| 0 | 1 | 0 | 1 | 0 | 0 | 1 | 0 | |
| 0 | 0 | 0 | 1 | 1 | 1 | 0 | 0 | |
| 0 | 1 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 0 | 0 | 0 | 0 | 1 | 0 | 0 | 1 | |
| 0 | 0 | 0 | 1 | 0 | 0 | 0 | 1 | |
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 0 | 0 | 1 | 0 | 0 | 0 | 0 | 1 | |
| 0 | 0 | 0 | 0 | 0 | 0 | 1 | 0 | |
| 1 | 0 | 1 | 0 | 0 | 0 | 0 | 0 | |
| 1 | 0 | 1 | 0 | 1 | 1 | 0 | 0 | |
| 0 | 0 | 1 | 0 | 1 | 0 | 0 | 0 | |
| 0 | 1 | 0 | 0 | 1 | 1 | 0 | 0 | |
| 1 | 0 | 0 | 0 | 0 | 1 | 0 | 0 | |
| 0 | 0 | 0 | 0 | 0 | 0 | 0 | 0 | |
| 1 | 1 | 0 | 0 | 0 | 1 | 0 | 0 | |
| 15 | The proportion of females in this sample is, | |||||||
| a | 0.307 | |||||||
| b | 0.279 | |||||||
| c | 0.253 | |||||||
| d | 0.230 | |||||||
| 16 | The confidence interval for the proportion employees who are female is ______. Use an error probability of 5%. | |||||||
| a | 0.233 | 0.274 | ||||||
| b | 0.223 | 0.284 | ||||||
| c | 0.213 | 0.294 | ||||||
| d | 0.203 | 0.304 | ||||||
| 17 | You decide to build a 95% interval estimate with a margin of error of 0.03 (3 percentage points). The minimum sample size to obtain the desired MOE is, = ______. For planning value use the proportion obtained from the first sample. | |||||||
| a | 711 | |||||||
| b | 808 | |||||||
| c | 918 | |||||||
| d | 1043 | |||||||
| Next two questions are related | ||||||||
| 18 | To build an interval estimate for the proportion (percentage) of American households who live paycheck-to-paycheck, a random sample 660 full-time workers showed 552 live paycheck-to-paycheck. | |||||||
| The point estimate of the population proportion is, | ||||||||
| a | 0.836 | |||||||
| b | 0.804 | |||||||
| c | 0.773 | |||||||
| d | 0.744 | |||||||
| 19 | In the previous question, build a confidence interval such that in 19 out of 20 cases such intervals would capture the actual population proportion of households who live paycheck-to-paycheck is ________. | |||||||
| a | 0.822 | 0.850 | ||||||
| b | 0.815 | 0.858 | ||||||
| c | 0.808 | 0.865 | ||||||
| d | 0.799 | 0.873 | ||||||
| 20 | The following is an interval estimate with a 95% confidence level for the proportion of Indiana undergraduate students who plan to go to graduate school: | |||||||
| L | U | |||||||
| 0.249 | 0.321 | |||||||
| The size of the sample used to build this interval is ________. | ||||||||
| a | 514 | |||||||
| b | 605 | |||||||
| c | 712 | |||||||
| d | 838 | |||||||
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