A state's Division of Motor Vehicles (DMV) claims that 60% of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for 125 teens; 86 of them passed the test on their first try. Which of the following steps contains an error in the test to see if these data provide convincing evidence at the α = 0.05 significance level that the DMV's claim is incorrect? For a one-sample z test for p. Random: We have an SRS of 125 teens. 10%: The sample size (125) is less than 10% of all teens who take the driving test. Large Counts: npo = 125(0.60) = 75 10 and n(1 Po) None of the steps are incorrect. 125(0.40) = 50 ≥ 10. The test statistic and P-value are z = 0.688-0.60 0.60(0.40) 125 The conclusion states that because the P-value is smaller than a = 0.05, we reject Ho. There is convincing evidence that the true proportion of teens who pass the driving test on their first attempt is different from 0.60. The hypotheses are: Ho: p = 0.60; Ha p‡ 0.60, where p = the true proportion of teens who pass their driving test on the first attempt using a = 0.05. 2.01, P-value = 0.0222

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A state's Division of Motor Vehicles (DMV) claims that 60% of all teens pass their driving test on the first attempt. An
investigative reporter examines an SRS of the DMV records for 125 teens; 86 of them passed the test on their first try.
Which of the following steps contains an error in the test to see if these data provide convincing evidence at the a = 0.05
significance level that the DMV's claim is incorrect?
For a one-sample z test for p. Random: We have an SRS of 125 teens. 10%: The sample size (125) is less than 10% of
all teens who take the driving test. Large Counts: npo = 125(0.60) = 75 ≥ 10 and n(1 - Po) = 125(0.40) = 50 ≥ 10.
None of the steps are incorrect.
The test statistic and P-value are z =
0.688-0.60
0.60(0.40)
125
The conclusion states that because the P-value is smaller than a = 0.05, we reject Ho. There is convincing evidence
that the true proportion of teens who pass the driving test on their first attempt is different from 0.60.
The hypotheses are: Ho: p = 0.60; Ha p 0.60, where p = the true proportion of teens who pass their driving test
on the first attempt using a = 0.05.
2.01, P-value 0.0222
Transcribed Image Text:A state's Division of Motor Vehicles (DMV) claims that 60% of all teens pass their driving test on the first attempt. An investigative reporter examines an SRS of the DMV records for 125 teens; 86 of them passed the test on their first try. Which of the following steps contains an error in the test to see if these data provide convincing evidence at the a = 0.05 significance level that the DMV's claim is incorrect? For a one-sample z test for p. Random: We have an SRS of 125 teens. 10%: The sample size (125) is less than 10% of all teens who take the driving test. Large Counts: npo = 125(0.60) = 75 ≥ 10 and n(1 - Po) = 125(0.40) = 50 ≥ 10. None of the steps are incorrect. The test statistic and P-value are z = 0.688-0.60 0.60(0.40) 125 The conclusion states that because the P-value is smaller than a = 0.05, we reject Ho. There is convincing evidence that the true proportion of teens who pass the driving test on their first attempt is different from 0.60. The hypotheses are: Ho: p = 0.60; Ha p 0.60, where p = the true proportion of teens who pass their driving test on the first attempt using a = 0.05. 2.01, P-value 0.0222
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