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More weight loss Refer to Exercise 6. Interpret the confidence level.

Short Answer

Expert verified

95% of all samples are having95%confidence interval that have true population parameter.

Step by step solution

01

Given Information

Confidence interval is95%and proportion islocalid="1654197145883" (0.56,0.62).

02

Simplification

  • 95% confidence interval shows the proportion of US adults willing to lose weight.
  • 95%of all samples have 95% confidence that have true population parameter.

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Most popular questions from this chapter

Age and video games Refer to Exercise 41. The study also estimated that 67% of adults aged 18โ€“29play video games, but only 25%of adults aged 65and older play video games.

a. Explain why you do not have enough information to give confidence intervals for these two age groups separately.

b. Do you think a 95% confidence interval for adults aged 18โ€“29 would have a larger or smaller margin of error than the estimate from Exercise 41? Explain your answer.

Election polling Gloria Chavez and Ronald Flynn are the candidates for mayor in a large city. We want to estimate the proportion p of all registered voters in the city who plan to vote for Chavez with 95%confidence and a margin of error no greater than 0.03. How large a random sample do we need?

Shoes The AP Statistics class in Exercise 1 also asked an SRS of 20boys at their school how many pairs of shoes they have. A 95%confidence interval for ฮผG-ฮผB=the true difference in the mean number of pairs of shoes for girls and

boys is 10.9to26.5.

a. Interpret the confidence interval.

b. Does the confidence interval give convincing evidence of a difference in the true mean number of pairs of shoes for boys and girls at the school? Explain your answer.

School vouchers A small pilot study estimated that 44%of all American

adults agree that parents should be given vouchers that are good for education at any public or private school of their choice.

a. How large a random sample is required to obtain a margin of error of at most 0.03with 99%confidence? Answer this question using the pilot studyโ€™s result as the guessed value for p^

b. Answer the question in part (a) again, but this time use the conservative guessp^=0.5. By how much do the two sample sizes differ?

Age and September 11 Refer to Exercise 42. The study also reported that 86% of

millennials included 9/11 in their top-10 list and 70% of baby boomers included 9/11.

a. Explain why you do not have enough information to give confidence intervals for

millennials and baby boomers separately.

b. Do you think a 95%confidence interval for baby boomers would have a larger or smaller margin of error than the estimate from Exercise 42? Explain your answer.

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