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Sullivan Statistics Survey: Deficit Reduction One question

Chapter 5, Problem 31AYU

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QUESTION:

Sullivan Statistics Survey: Deficit Reduction One question on the Sullivan Statistics Survey is “Would you be willing to pay higher taxes if the tax revenue went directly toward deficit reduction?” Treat the survey respondents as a simple random sample of adult Americans. Construct and interpret a 90% confidence interval for the proportion of adult Americans who would be willing to pay higher taxes if the revenue went directly toward deficit reduction.

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QUESTION:

Sullivan Statistics Survey: Deficit Reduction One question on the Sullivan Statistics Survey is “Would you be willing to pay higher taxes if the tax revenue went directly toward deficit reduction?” Treat the survey respondents as a simple random sample of adult Americans. Construct and interpret a 90% confidence interval for the proportion of adult Americans who would be willing to pay higher taxes if the revenue went directly toward deficit reduction.

ANSWER:

Step 1 of 2

From the given information we have =0.5 and n = 10. We need to find the 90% confidence interval and it is calculated by using the formula

 = 1.645(from standard normal table)

Confidence Level

z? Multiplier

.90 (90%)

1.645

.95 (95%)

1.96

.98 (98%)

2.326

.99 (99%)

2.578

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