a-d Homework: 9.1 Homework Score: 0 of 1 pt 6 of 10 (8 complete) 9.1.29 An inter

Question

a-d

Homework: 9.1 Homework Score: 0 of 1 pt 6 of 10 (8 complete) 9.1.29 An interactive poll found that 306 of 2,351 adults aged 18 or older have at least one tattoo. (a) Obtain a point estimate for the proportion of adults who have at least one tattoo. (b) Construct a 90% confidence interval for the proportion of adults with at least one tattoo. (c) Construct a 98% confidence interval for the proportion of adults with at least one tattoo. (d) What is the effect of increasing the level of confidence on the width of the interval? (a) p-l] (Round to three decimal places as needed.) Enter your answer in the answer box and then click Check Answer parts remaining Clear All

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:

98% confidence interval results:

Hence,

a) Point estimate = 0.130

b) 90% confidence interval: (0.119, 0.142)

c) 98% confidence interval: (0.114, 0.146)

d) The width increases as we increase the confidence level.

Proportion Count Total Sample Prop. Std. Err. L. Limit U. Limit p 306 2351 0.13015738 0.0069395039 0.11874291 0.14157185

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