Note: The sample size cannot be 147 as you wrote in the question because the number of those that respondend yes (788) cannot be more than the sample size.
Complete Question:
The atomic bomb in 1945, the Gallup organization asked 1487 randomly sampled Americans, Do you think we can develop a way to protect ourselves from the atomic bombs in case other countries tried to use them against us? with 788 responding yes. Did a majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945? Use the a= 0.05 level of significance.
Answer:
At 0.05 significance level, we cannot conclude that majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945
Explanation:
From the attached file:
Zcritical = 1.96
Zcalculated = 1.55
Since Zcritical is greater than Zcalculated, the null hypothesis will be accepted.
This means that we cannot conclude that majority of Americans feel the United states could develop a way to protect itself from atomic bombs in 1945