In a random sample of 50 sports cars, 34 passed the inspection on the first time through. The state transportation agency wants to use this data to construct a confidence interval for the true proportion of sports cars that pass inspection the first time through. Are the conditions met to do so? No, because although the data was gathered randomly, nô < 10 Yes, because the data was gathered randomly and both np ≥ 10 and n (1-p) > 10 No, because although the data was gathered randomly, n (1 - p) < 10 There is not enough information to answer this question.

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In a random sample of 50 sports cars, 34 passed the inspection on the first time through. The state transportation agency
wants to use this data to construct a confidence interval for the true proportion of sports cars that pass inspection the first
time through. Are the conditions met to do so?
No, because although the data was gathered randomly, np < 10
Yes, because the data was gathered randomly and both np > 10 and n (1 − p) ≥ 10
No, because although the data was gathered randomly, n (1-p) < 10
There is not enough information to answer this question.
Transcribed Image Text:In a random sample of 50 sports cars, 34 passed the inspection on the first time through. The state transportation agency wants to use this data to construct a confidence interval for the true proportion of sports cars that pass inspection the first time through. Are the conditions met to do so? No, because although the data was gathered randomly, np < 10 Yes, because the data was gathered randomly and both np > 10 and n (1 − p) ≥ 10 No, because although the data was gathered randomly, n (1-p) < 10 There is not enough information to answer this question.
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