Travel to Outer Space ACBS News/New York Times poll found

Chapter 7, Problem 8

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QUESTION:

Travel to Outer Space ACBS News/New York Times poll found that 329 out of 763 adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 92% confidence.

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QUESTION:

Travel to Outer Space ACBS News/New York Times poll found that 329 out of 763 adults said they would travel to outer space in their lifetime, given the chance. Estimate the true proportion of adults who would like to travel to outer space with 92% confidence.

ANSWER:

Step 1 of 2

Given:

\(\begin{array}{l}
x=329\\
n=763\\
c=92 \%
\end{array}\)

The sample proportion is the number of successes divided by the sample size:

\(\hat{p}=\frac{x}{n}=\frac{329}{763} \approx 0.4312\)

For confidence level \(1-\alpha=0.92\), determine \(z_{\alpha / 2}=z_{0.04}\) using table E (look up 0.04 in the table, the -score is then the found z-score with opposite sign):

\(z_{\alpha / 2}=1.75\)

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