One of the more popular statistics reported in the media is the president's job approval rating. The approval rating is reported as the proportion of the population who approve of the job that the sitting president is doing and is typically based on a random sample of registered voters. A poll showed the approval rating to be 0.44 (44%). A second poll based on 2000 randomly selected voters showed that 914 approved of the job the president was doing. Do the results of the second poll indicate that the proportion of voters who approve of the job the president is doing is significantly higher than the original level? Explain. Assume the ?? = 0.01 level of significance. Identify the null and alternative hypotheses for this test. A. H0: p = 0.44, H1: p > 0.44 B. H0: p > 0.44, H1: p = 0.44 C. H0: p = 0.44, H1: p ? 0.44 D. H0: p < 0.44, H1: p = 0.44 E. H0: p = 0.44, H1: p < 0.44 F. H0: p ? 0.44, H1: p = 0.44. Find the test statistic for this hypothesis test. z = [ ] (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. P-value = [ ] (Round to three decimal places as needed.)
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457 - 0.44}{\sqrt{\frac{0.44(1-0.44)}{2000}}} \] \[ \text{Test Statistic} = \frac{0.017}{\sqrt{\frac{0.44 \times 0.56}{2000}}} \] \[ \text{Test Statistic} = \frac{0.017}{\sqrt{\frac{0.2464}{2000}}} \] \[ \text{Test Statistic} = \frac{0.017}{\sqrt{0.0001232}} \] \[ Show moreā¦
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