Consider 204 binomial trials successes. (a) Is it appropriate to use a normal distribution to approximate the distribution? (Select all that apply.) Yes. np > 5 and nq < 5 Yes. np < 5 and nq < 5 No, it is not appropriate to use a normal distribution to approximate the distribution. Yes. np > 5 and nq > 5 Yes. np < 5 and nq < 5 (b) Find a 95% confidence interval for the population proportion of successes p. (Round your answers to three decimal places.) lower limit upper limit (c) Explain the meaning of the confidence interval you computed. O There is a 5% chance that the interval is one of the intervals containing the true proportion. There is a 95% chance that the interval is one of the intervals containing the true proportion. O The probability that this interval contains the true proportion is 0.20. O The probability that this interval contains the true proportion is 0.80.

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Consider 204 binomial trials with 72 successes.

Consider 204 binomial trials with 72 successes.
(a) Is it appropriate to use a normal distribution to approximate the p distribution? (Select all that apply.)
Yes. np > 5 and nq < 5
Yes. np < 5 and nq < 5
No, it is not appropriate to use a normal distribution to approximate the distribution.
Yes. np > 5 and nq > 5
Yes. np < 5 and nq < 5
(b) Find a 95% confidence interval for the population proportion of successes p. (Round your answers to three decimal places.)
lower limit
upper limit
(c) Explain the meaning of the confidence interval you computed.
O There is a 5% chance that the interval is one of the intervals containing the true proportion.
There is a 95% chance that the interval is one of the intervals containing the true proportion.
O The probability that this interval contains the true proportion is 0.20.
O The probability that this interval contains the true proportion is 0.80.
Transcribed Image Text:Consider 204 binomial trials with 72 successes. (a) Is it appropriate to use a normal distribution to approximate the p distribution? (Select all that apply.) Yes. np > 5 and nq < 5 Yes. np < 5 and nq < 5 No, it is not appropriate to use a normal distribution to approximate the distribution. Yes. np > 5 and nq > 5 Yes. np < 5 and nq < 5 (b) Find a 95% confidence interval for the population proportion of successes p. (Round your answers to three decimal places.) lower limit upper limit (c) Explain the meaning of the confidence interval you computed. O There is a 5% chance that the interval is one of the intervals containing the true proportion. There is a 95% chance that the interval is one of the intervals containing the true proportion. O The probability that this interval contains the true proportion is 0.20. O The probability that this interval contains the true proportion is 0.80.
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