Logged in as etha d MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork/math243sprin

Question

Logged in as etha d MAA MATHEMATICAL ASSOCIATION OF AMERICA webwork/math243spring-schmidt/ week 9c- chapter 22 inference about a proportion / 2 Week 9c - Chapter 22 Inference About a Proportion: Problem 2 Previous Problem List Next 12 points) Over half of all American toons (ages 12 to 17 years) have an online profie, mainly on Facebook. A random sample of eens with profiles found that 391 included photos of themselves. (a) Give the 999% large-sample confidence rtervalfor the proportion p of all toons with protes who relude photos of themselves. Large-sample Interval: (t) Give the plus four 99 9% confidence interval forp.(The plus-four rterval always pulls whichever is closer. Even though the condition for using the large-sample interval is met, the plus four Plus four Interval: the results away from 096 or 100%. interval is more trustworthy) to Note: You can earn partial credit on this problem Preview My Answers Submit Answens You have attempted this problem 0 times. You have unlimited attempts remaining Email instructor Page generated at 06/03/2018 af 04.20pm POT 6lthene mMM?ww.verin. 2. 121pg.won 2.12] The waworK ?ist 3 5

Explanation / Answer

Result:

99.9% CI = (0.695689, 0.819815)

Confidence Interval Estimate for the Proportion

Data

Sample Size

516

Number of Successes

391

Confidence Level

99.9%

Intermediate Calculations

Sample Proportion

0.757751938

Z Value

3.2905

Standard Error of the Proportion

0.0189

Interval Half Width

0.0621

Confidence Interval

Interval Lower Limit

0.695689

Interval Upper Limit

0.819815

Using plus 4 method,

99.9% CI = (0.693774, 0.817764)

Confidence Interval Estimate for the Proportion

Data

Sample Size( 516+4)

520

Number of Successes(391+2)

393

Confidence Level

100%

Intermediate Calculations

Sample Proportion

0.755769231

Z Value

3.2905

Standard Error of the Proportion

0.0188

Interval Half Width

0.0620

Confidence Interval

Interval Lower Limit

0.693774

Interval Upper Limit

0.817764

Confidence Interval Estimate for the Proportion

Data

Sample Size

516

Number of Successes

391

Confidence Level

99.9%

Intermediate Calculations

Sample Proportion

0.757751938

Z Value

3.2905

Standard Error of the Proportion

0.0189

Interval Half Width

0.0621

Confidence Interval

Interval Lower Limit

0.695689

Interval Upper Limit

0.819815

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