9. A study was conducted to determine if the proportion of cars in a given area that do not meet exhaust emission standards has changed from 10 years ago when it was 8%. A test of H,: p = 0.08 against Ha: p 0.08 was performed with a significance level of a = 0.05. Given that the data showed that there was a significant difference in the proportion of cars not meeting emission standards now versus 10 years ago, which of the following statements is true? (A) The researchers would have reached the same conclusion at a = 0.01 and a = 0.10. The researchers would have reached the same conclusion at a = 0.01, but not at a = 0.10. (В) (С) (D) A 90% confidence interval for the population proportion p would contain 0.08. A 95% confidence interval for the population proportion p would contain 0.08. (E) The correct statement cannot be determined without knowing the P-value.

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9. A study was conducted to determine if the proportion of cars in a given
area that do not meet exhaust emission standards has changed from
10 years ago when it was 8%. A test of Ho: p = 0.08 against HA: p 0.08
was performed with a significance level of a = 0.05. Given that the data
showed that there was a significant difference in the proportion of cars
not meeting emission standards now versus 10 vears ago, which of the
following statements is true?
(A) The researchers would have reached the same conclusion at a = 0.01 and a = 0.10.
(B) The researchers would have reached the same conclusion at a = 0.01, but not at a = 0.10.
A 95% confidence interval for the population proportion p would contain 0.08.
(С)
A 90% confidence interval for the population proportion p would contain 0.08.
The correct statement cannot be determined without knowing the P-value.
(D)
(E)
Transcribed Image Text:9. A study was conducted to determine if the proportion of cars in a given area that do not meet exhaust emission standards has changed from 10 years ago when it was 8%. A test of Ho: p = 0.08 against HA: p 0.08 was performed with a significance level of a = 0.05. Given that the data showed that there was a significant difference in the proportion of cars not meeting emission standards now versus 10 vears ago, which of the following statements is true? (A) The researchers would have reached the same conclusion at a = 0.01 and a = 0.10. (B) The researchers would have reached the same conclusion at a = 0.01, but not at a = 0.10. A 95% confidence interval for the population proportion p would contain 0.08. (С) A 90% confidence interval for the population proportion p would contain 0.08. The correct statement cannot be determined without knowing the P-value. (D) (E)
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