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Pollsters Have Tracked Presidential Approval Ratings Over Many Decades χ\chi 2stat, for the Hypothesis Test?
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Question 64

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Pollsters have tracked presidential approval ratings over many decades.From 1945 to 2009, the percentage of adults who approved of the job being done by the president averaged 54%, with 36% disapproving and 10% not sure. In June 2009, an NBC/Wall Street Journal poll asked 2000 adults, "In general, do you approve or disapprove of the job Barack Obama is doing as president?" The responses were as follows:
 Pollsters have tracked presidential approval ratings over many decades.From 1945 to 2009, the percentage of adults who approved of the job being done by the president averaged 54%, with 36% disapproving and 10% not sure. In June 2009, an NBC/Wall Street Journal poll asked 2000 adults,  In general, do you approve or disapprove of the job Barack Obama is doing as president?  The responses were as follows:   A researcher conducts a goodness of fit test to determine whether President Obama's June 2009 approval ratings differ significantly from the historical average.The hypotheses tested are as follows: H<sub>0</sub>: The population proportion that approves is 0.54, that disapproves is 0.36, and that is unsure is 0.10. H<sub>a</sub>: The population proportions are not 0.54, 0.36, and 0.10 respectively. At a 5% significance level, what is the test statistic,  \chi <sup>2</sup><sub>stat</sub>, for the hypothesis test? A) 0.189 B) 2.222 C) 3.704 D) 5.991 A researcher conducts a goodness of fit test to determine whether President Obama's June 2009 approval ratings differ significantly from the historical average.The hypotheses tested are as follows:
H0: The population proportion that approves is 0.54, that disapproves is 0.36, and that is unsure is 0.10.
Ha: The population proportions are not 0.54, 0.36, and 0.10 respectively.
At a 5% significance level, what is the test statistic, χ\chi 2stat, for the hypothesis test?


A) 0.189
B) 2.222
C) 3.704
D) 5.991

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