Question: 10. In 85 10-mph crash tests with typeAcars, 19 sustained no visible damage. For type B cars, 22 out of 85 sustained no visible damage.

10. In 85 10-mph crash tests with typeAcars, 19 sustained no visible damage. For type B cars, 22 out of 85 sustained no visible damage. Is this evidence sufficient to claim that type B cars do better in 10-mph crash tests than type A cars?

(a) State the null and alternative hypotheses, carry out the test at level 0.05, and report the p-value.

(b) Construct a 90% CI for p1 − p2.

(c) Repeat parts

(a) and

(b) using R commands.

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