A recent survey asked 1200 randomly selected U.S. adults if they believe that the U.S. federal government is doing enough to keep U.S. elections safe from outside interference. Of the survey participants, 620 were men and 580 were women. The researchers wanted to know if there was a difference in how men and women responded and decided to conduct a hypothesis test. The researchers predict that there is no difference between the proportion of women (p1) and men (p2) who believe that the U.S. federal government is not doing enough to keep elections safe. Which of the following are the correct null and alternative hypotheses to test this claim? a. Ho: p1 # p2 and Ha: p1 = p2 b. Ho: p1 = p2 and Ha: p1< p2 c. Ho: p1 > p2 and Ha: p1 # p2 d. Ho: p1 = p2 and Ha: p1 # p2
A recent survey asked 1200 randomly selected U.S. adults if they believe that the U.S. federal government is doing enough to keep U.S. elections safe from outside interference. Of the survey participants, 620 were men and 580 were women. The researchers wanted to know if there was a difference in how men and women responded and decided to conduct a hypothesis test. The researchers predict that there is no difference between the proportion of women (p1) and men (p2) who believe that the U.S. federal government is not doing enough to keep elections safe.
Which of the following are the correct null and alternative hypotheses to test this claim?
a. Ho: p1 # p2 and Ha: p1 = p2
b. Ho: p1 = p2 and Ha: p1< p2
c. Ho: p1 > p2 and Ha: p1 # p2
d. Ho: p1 = p2 and Ha: p1 # p2
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