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A researcher claims the proportion of auto accidents that involve teenage drivers is less than 20%. ABC Insurance Company checks police records on 300 randomly selected auto accidents and notes that teenagers were at the wheel in 50 of them. Assume the company wants to use a 0.05 significance level to test the researcher's claim.
(a) Identify the null hypothesis and the alternative hypothesis.
(b) Determine the test statistic. Show all work; writing the correct test statistic, without supporting work, will receive no credit.
(c) Determine the P-value for this test. Show all work; writing the correct P-value, without supporting work, will receive no credit.
(d) Is there sufficient evidence to support the claim that the proportion of auto accidents that involve teenage drivers is less than 20%? Explain.
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