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An NBC/Wall Street Journal Poll Asked Adults Monthly, "In General χ\chi

Question 145

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An NBC/Wall Street Journal poll asked adults monthly, "In general, do you approve or disapprove of the job Barack Obama is doing as president?"  An NBC/Wall Street Journal poll asked adults monthly,  In general, do you approve or disapprove of the job Barack Obama is doing as president?    Suppose that the sample size in 2009, 2010, and 2011 was 2,000 adults.Use these results to test whether Presidential job approval ratings in these three years were independent of the survey date.Construct the hypotheses as follows: H<sub>0</sub>: The approval rating (response)  is independent of the survey date H<sub>a</sub>: The approval rating (response)  is not independent of the survey date At a 5% significance level, what is the conclusion of the hypothesis test? A) Since  \chi <sup>2</sup><sub>stat</sub> is greater than the critical value  \chi <sup>2</sup><sub>c</sub>, reject the null hypothesis.The evidence supports the claim that approval ratings depend on the survey date. B) Since  \chi <sup>2</sup><sub>stat</sub> is not greater than the critical value  \chi <sup>2</sup><sub>c</sub>, do not reject the null hypothesis.The evidence does not support the view that approval ratings depend on survey date. C) Since  \chi <sup>2</sup><sub>stat</sub> is greater than the critical value  \chi <sup>2</sup><sub>c</sub>, reject the null hypothesis.The evidence does not support the claim that approval ratings depend on the survey date. D) Since  \chi <sup>2</sup><sub>stat</sub> is not greater than the critical value  \chi <sup>2</sup><sub>c</sub>, do not reject the null hypothesis.The evidence supports the claim that approval ratings depend on the survey date. Suppose that the sample size in 2009, 2010, and 2011 was 2,000 adults.Use these results to test whether Presidential job approval ratings in these three years were independent of the survey date.Construct the hypotheses as follows:
H0: The approval rating (response) is independent of the survey date
Ha: The approval rating (response) is not independent of the survey date
At a 5% significance level, what is the conclusion of the hypothesis test?


A) Since χ\chi 2stat is greater than the critical value χ\chi 2c, reject the null hypothesis.The evidence supports the claim that approval ratings depend on the survey date.
B) Since χ\chi 2stat is not greater than the critical value χ\chi 2c, do not reject the null hypothesis.The evidence does not support the view that approval ratings depend on survey date.
C) Since χ\chi 2stat is greater than the critical value χ\chi 2c, reject the null hypothesis.The evidence does not support the claim that approval ratings depend on the survey date.
D) Since χ\chi 2stat is not greater than the critical value χ\chi 2c, do not reject the null hypothesis.The evidence supports the claim that approval ratings depend on the survey date.

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