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

ID: 3337660 • Letter: F

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 10 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 (b) What assumptions are necessary to calculate the confidence interval in part (a)? np > 5 and nq > 5 np> 5 and nq np

Explanation / Answer

The statistical software output for this problem is:

One sample proportion summary confidence interval:
p : Proportion of successes
Method: Standard-Wald

90% confidence interval results:

a) 90% confidence interval will be:

Lower limit = 0.1601

Upper limit = 0.4113

b) Option A is correct.

c) Yes

d) Option B is correct.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 10 35 0.28571429 0.076360355 0.16011268 0.41131589
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