Chambers Norris
10/08/2023 · Junior High School

In 1945 , an organization asked 1440 randomly sampled American citizens, "Do you think we can develop a way to protect ourselves from atomic bombs in case others tried to use them against us?" with 757 responding yes. Did a majority of the citizens feel the country could develop a way to protect itself from atomic bombs in 1945 ? Use the \( \alpha=0.05 \) level of significance. \( \mathrm{H}_{0}: \mathrm{p}=0.5 \) versus \( \mathrm{H}_{1}: \mathrm{p} \) (Type integers or decimals.) Determine the test statistic, \( \mathrm{z}_{0} \). \( \mathrm{z}_{0}=1.95 \) (Round to two decimal places as needed.) Use technology to determine the P-value for the test statistic. The P-value is \( \square \). (Round to three decimal places as needed.)

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The test statistic \(z_0\) is approximately \(1.95\), and the P-value is approximately \(0.026\).

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