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16. In a survey of...

16. In a survey of 630 males ages 18-64, 391 say they have gone to the dentist in the past year.

Construct 90% and 95% confidence intervals for the population proportion. Interpret the

results and compare the widths of the confidence intervals. If convenient, use technology

to construct the confidence intervals.

The 90% confidence interval for the population proportion p is _____ , _____.

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

The 95% confidence interval for the population proportion p is _____ , _____.

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

17. In a survey of 9000 women, 6431 say they change their nail polish once a week. Construct a 99% confidence interval for the population proportion of women who change their nail polish once a week.

A 90% confidence interval for the population proportion is (____,_____).

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

18. A researcher wishes to estimate, with 90% confidence, the proportion of adults who have high-speed Internet access. Her estimate must be accurate within 5% of the true proportion.

a) Find the minimum sample size needed, using a prior study that found that 34% of the respondents said they have high-speed Internet access.

b) No preliminary estimate is available. Find the minimum sample size needed.

a) What is the minimum sample size needed using a prior study that found that 34% of the respondents said they have high-speed Internet access?

N=_____(Round up to the nearest whole number as needed.)

b) What is the minimum sample size needed assuming that no preliminary estimate is available?

N=_____ (Round up to the nearest whole number as needed.)

19. The table to the right shows the results of a survey in which 2600 adults from Country A, 1135 adults from Country B, and 1052 adults from Country C were asked if human activity contributes to global warming. Complete parts (a), (b) (c).

(a) Construct a 99% confidence interval for the proportion of adults from Country A who say human activity contributes to global warming.

(___,_____) (Round to three decimal places as needed.)

(b) Construct a 99% confidence interval for the proportion of adults from Country B who say human activity contributes to global warming.

(___,_____) (Round to three decimal places as needed.)

(c) Construct a 99% confidence interval for the proportion of adults from Country C who say human activity contributes to global warming.

(___,_____) (Round to three decimal places as needed.)

Adults who say that human activity contributes to global warming

Country A-62%

Country B-86%

Country C-93%

20. The table shows the results of a survey in which separate samples of 400 adults each from the East, South, Midwest, and West were asked if traffic congestion is a serious problem in their community. Complete parts (a) and (b)

(a)Construct a 95% confidence interval for the proportion of adults from the West who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

(b) Construct a 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

East: 35%

South:33%

Midwest:25%

West:55%

Construct 90% and 95% confidence intervals for the population proportion. Interpret the

results and compare the widths of the confidence intervals. If convenient, use technology

to construct the confidence intervals.

The 90% confidence interval for the population proportion p is _____ , _____.

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

The 95% confidence interval for the population proportion p is _____ , _____.

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

17. In a survey of 9000 women, 6431 say they change their nail polish once a week. Construct a 99% confidence interval for the population proportion of women who change their nail polish once a week.

A 90% confidence interval for the population proportion is (____,_____).

(Round the final answers to the nearest thousandth as needed. Round all intermediate values to the nearest thousandth as needed.)

18. A researcher wishes to estimate, with 90% confidence, the proportion of adults who have high-speed Internet access. Her estimate must be accurate within 5% of the true proportion.

a) Find the minimum sample size needed, using a prior study that found that 34% of the respondents said they have high-speed Internet access.

b) No preliminary estimate is available. Find the minimum sample size needed.

a) What is the minimum sample size needed using a prior study that found that 34% of the respondents said they have high-speed Internet access?

N=_____(Round up to the nearest whole number as needed.)

b) What is the minimum sample size needed assuming that no preliminary estimate is available?

N=_____ (Round up to the nearest whole number as needed.)

19. The table to the right shows the results of a survey in which 2600 adults from Country A, 1135 adults from Country B, and 1052 adults from Country C were asked if human activity contributes to global warming. Complete parts (a), (b) (c).

(a) Construct a 99% confidence interval for the proportion of adults from Country A who say human activity contributes to global warming.

(___,_____) (Round to three decimal places as needed.)

(b) Construct a 99% confidence interval for the proportion of adults from Country B who say human activity contributes to global warming.

(___,_____) (Round to three decimal places as needed.)

(c) Construct a 99% confidence interval for the proportion of adults from Country C who say human activity contributes to global warming.

(___,_____) (Round to three decimal places as needed.)

Adults who say that human activity contributes to global warming

Country A-62%

Country B-86%

Country C-93%

20. The table shows the results of a survey in which separate samples of 400 adults each from the East, South, Midwest, and West were asked if traffic congestion is a serious problem in their community. Complete parts (a) and (b)

(a)Construct a 95% confidence interval for the proportion of adults from the West who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the East who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

(b) Construct a 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem.

The 95% confidence interval for the proportion of adults from the South who say traffic congestion is a serious problem is (___,___) (Round to three decimal places as needed.)

East: 35%

South:33%

Midwest:25%

West:55%

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