For this problem, carry at least four digits after the decimal in your calculati

Question

For this problem, carry at least four digits after the decimal in your calculations. Answers may vary slightly due to rounding. In a survey of a random sample of 35 households in the Cherry Creek neighborhood of Denver, it was found that 12 households turned out the lights and pretended not to be home on Halloween. (a) Compute a 90% confidence interval for p, the proportion of all households in Cherry Creek that pretend not to be home on Halloween. (Round your answers to four decimal places.) lower limit upper limit

Explanation / Answer

Here random sample = 35 households

Here,

sample proportion = 12/35 = p^ = 0.343

standard error of proportion = sqrt [0.343 * (1 - 0.343)/35] = 0.08

90% confidence interval = p^ +- Z90% se0 = 0.343 +- 1.645 * 0.08

= (0.211, 0.475)

Lower Limit = 0.2109

Upper Limit = 0.4748

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