An NBC News/Wall Street Journal poll conducted in 2010 predicted that 61% of Americans did not support the Tea Party movement. I
n a poll of 1,000 Americans this year, 64% say they do not support the Tea Party movement. Has opposition to the Tea Party movement increased since 2010? We test the following hypotheses at the 5% level of significance. LaTeX: H_0H 0: The proportion of Americans this year who oppose the Tea Party movement is 0.61. LaTeX: H_aH a: The proportion of Americans this year who oppose the Tea Party movement is greater than 0.61. The P-value is 0.026. What can we conclude and for what reason? Group of answer choices The poll does not suggest that more than 61% of Americans this year oppose the Tea Party movement. Why? The poll results of 64% are too close to 61% to be statistically significant. This small of a difference is expected in random sampling, so the P-value is small. The poll does not suggest that more than 61% of Americans this year oppose the Tea Party movement. Why? The 3% difference (64%-61%) is less than the significance level of 5%. The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The poll results were 64%, which is greater than 61%. The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
Step-by-step explanation:
At a level of significance of 5%, a P-value of 0.026 (2.6%) means that the difference is significant and the null hypothesis is rejected.
The difference between the proportions is significant, what means that more than 61% of Americans oppose the Tea Party movement this year.
Note: The difference in the sample proportions (3%) is not enough to claim that the difference is significant.
The right answer is:
The poll provides strong evidence that more than 61% of Americans oppose the Tea Party movement this year. Why? The P-value (0.026) is less than the significance level of 5%.
