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Consider 111 binomial trials with 45 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 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. (b) Find a 90% 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 The probability that this interval contains the true proportion is 0.80.

Consider 111 binomial trials with 45 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 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. (b) Find a 90% 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 The probability that this interval contains the true proportion is 0.80.

College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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Consider 111 binomial trials with 45 successes.

Consider 111 binomial trials with 45 successes. (a) Is it appropriate to use a normal distribution to approximate the distribution? (Select all that apply.) Yes. np < 5 and ng < 5 Yes. np < 5 and nq < 5 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. (b) Find a 90% 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 The probability that this interval contains the true proportion is 0.80. O The probability that this interval contains the true proportion is 0.20. There is a 90% chance that the interval is one of the intervals containing the true proportion. O There is a 20% chance that the interval is one of the intervals containing the true proportion.
Transcribed Image Text:Consider 111 binomial trials with 45 successes. (a) Is it appropriate to use a normal distribution to approximate the distribution? (Select all that apply.) Yes. np < 5 and ng < 5 Yes. np < 5 and nq < 5 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. (b) Find a 90% 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 The probability that this interval contains the true proportion is 0.80. O The probability that this interval contains the true proportion is 0.20. There is a 90% chance that the interval is one of the intervals containing the true proportion. O There is a 20% chance that the interval is one of the intervals containing the true proportion.
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