A national survey conducted in 2011 among a simple random sample of 1507 adults shows that 56% of Americans think the Civil War is still relevant to American politics and political life. a) Conduct a hypothesis test to determine if these data provide strong evidence that the majority (> 50%) of the Americans think the Civil War is still relevant. Please calculate the test statistic, the P-value, and make a conclusion at a 1% significance level. b) Which of the following is the correct interpretation of the p-value calculated in part (a)? i. It’s the probability that the majority (> 50%) of Americans think the Civil War is still relevant to American politics and political life, given that 56% of the sample of size 1507 think so. ii. It’s the probability that that 50% of Americans think the Civil War is still relevant to American politics and political life, given that 56% of the sample of size 1507 think so. iii. It’s the probability to obtain a sample of size 1507 that 56% or more th
A national survey conducted in 2011 among a simple
random sample of 1507 adults shows that 56% of Americans think the Civil War is still relevant to
American politics and political life.
a) Conduct a hypothesis test to determine if these data provide strong evidence that the majority (> 50%)
of the Americans think the Civil War is still relevant. Please calculate the test statistic, the P-value,
and make a conclusion at a 1% significance level.
b) Which of the following is the correct interpretation of the p-value calculated in part (a)?
i. It’s the probability that the majority (> 50%) of Americans think the Civil War is still relevant
to American politics and political life, given that 56% of the
ii. It’s the probability that that 50% of Americans think the Civil War is still relevant to American
politics and political life, given that 56% of the sample of size 1507 think so.
iii. It’s the probability to obtain a sample of size 1507 that 56% or more think the Civil War is still
relevant to American politics and political life, when in fact that 50% of Americans think so
iv. It’s the probability to obtain a sample of size 1507 that 56% or more think the Civil War is still
relevant to American politics and political life, when in fact that over 50% of Americans think so.
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