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. What are the null and alternative hypotheses? $$ \mathrm{H}_{0}: \mathrm{p}=0.5 $$ versus $$ \mathrm{H}_{1}: \mathrm{p}0.5 $$ (Type integers or decimals.) Determine the test statistic, $$ \mathrm{z}_{0} $$. $$ \mathrm{z}_{0}=\square $$ (Round to two decimal places as needed.)

Question

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. What are the null and alternative hypotheses? $$ \mathrm{H}_{0}: \mathrm{p}=0.5 $$ versus $$ \mathrm{H}_{1}: \mathrm{p}>0.5 $$ (Type integers or decimals.) Determine the test statistic, $$ \mathrm{z}_{0} $$. $$ \mathrm{z}_{0}=\square $$ (Round to two decimal places as needed.)

Barber Conner · Accepted Answer

The test statistic $$ z_{0} = 1.95 $$.

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