A random sample of size n = 225 from a binomial population with unknown parameter p yielded p = .46. a) Is the sample size large enough to use the methods of section 6.5 to construct a confidence interval for p? Explain. b) Construct a 95% confidence interval for p. c) Interpret the 95% confidence interval. d) Determine the minimum sample size required to be 99% confident that the sample proportion driving is within .04 of the population proportion.

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Problem 21
A random sample of size n = 225 from a binomial population with unknown parameter p yielded § = .46.
a) Is the sample size large enough to use the methods of section 6.5 to construct a confidence interval for p?
Explain.
b) Construct a 95% confidence interval for p.
c) Interpret the 95% confidence interval.
d) Determine the minimum sample size required to be 99% confident that the sample proportion driving is
within .04 of the population proportion.
Transcribed Image Text:Problem 21 A random sample of size n = 225 from a binomial population with unknown parameter p yielded § = .46. a) Is the sample size large enough to use the methods of section 6.5 to construct a confidence interval for p? Explain. b) Construct a 95% confidence interval for p. c) Interpret the 95% confidence interval. d) Determine the minimum sample size required to be 99% confident that the sample proportion driving is within .04 of the population proportion.
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