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The school board in a certain school district obtained a random sample of 200 residents
Chapter 12, Problem AP4.4(choose chapter or problem)
Section I: Multiple Choice Choose the best answer.
The school board in a certain school district obtained a random sample of 200 residents and asked if they were in favor of raising property taxes to fund the hiring of more statistics teachers. The resulting confidence interval for the true proportion of residents in favor of raising taxes was (0.183, 0.257). The margin of error for this confidence interval is
(a) 0.037. (c) 0.220. (e) 0.740.
(b) 0.183. (d) 0.257.
Questions & Answers
QUESTION:
Section I: Multiple Choice Choose the best answer.
The school board in a certain school district obtained a random sample of 200 residents and asked if they were in favor of raising property taxes to fund the hiring of more statistics teachers. The resulting confidence interval for the true proportion of residents in favor of raising taxes was (0.183, 0.257). The margin of error for this confidence interval is
(a) 0.037. (c) 0.220. (e) 0.740.
(b) 0.183. (d) 0.257.
ANSWER:Step 1 of 3
We have the confidence interval for the population proportion . We need to calculate the corresponding margin of error.
The formula for the confidence interval is
where:
- is the point estimate of the population proportion ,
-