In: Statistics and Probability
1.)
The estimate of the population proportion is to be within plus or minus 0.02, with a 90% level of confidence. The best estimate of the population proportion is 0.18. How large a sample is required? (Use z Distribution Table.) (Round the z-values to 2 decimal places. Round up your answer to the next whole number.) |
2.)
In a poll to estimate presidential popularity, each person in a random sample of 1,390 voters was asked to agree with one of the following statements: |
1. | The president is doing a good job. |
2. | The president is doing a poor job. |
3. | I have no opinion. |
A total of 675 respondents selected the first statement, indicating they thought the president was doing a good job. |
a. |
Construct a 99% confidence interval for the proportion of respondents who feel the president is doing a good job. (Use Student's t Distribution Table.) (Round your answers to 3 decimal places.) |
3.)
The proportion of public accountants who have changed companies within the last three years is to be estimated within 5%. The 95% level of confidence is to be used. A study conducted several years ago revealed that the percent of public accountants changing companies within three years was 19. (Use z Distribution Table.) (Round the z-values to 2 decimal places. Round up your answers to the next whole number.) |
a. | To update this study, the files of how many public accountants should be studied? |
b. |
How many public accountants should be contacted if no previous estimates of the population proportion are available? |