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A study claims that the proportion of adults in Florida who don’t have flood ins

ID: 2909141 • Letter: A

Question

A study claims that the proportion of adults in Florida who don’t have flood insurance is not equal to 0.12. A random sample of 1993 homeowners showed that 13.6% of them didn’t have flood insurance. Use ? = 0.05. Choose closest answer wherever necessary.

Identify the definition of this test.

A. H0 : p = 0.12 H1 : p 6=(not equal sign) 0.12

B. H0 : p ? 0.12 H1 : p > 0.88

C. H0 : p < 0.12 H1 : p > 0.88

D. H0 : p ? 0.12 H1 : p < 0.88

E. H0 : p = 0.12 H1 : p 6=(not equal sign) 0.88

What is the test statistic (closest answer)?

A. 2.08

B. 0.26

C. 3.71

D. 3.92

E. 2.43

What is the critical value for this test?

A. ±1.31

B. ±0.39

C. ±1.96

D. ±1.15

E. ±0.55

What is the p-value for this test?

A. 0.0592

B. 0.03772

C. 0.2652

D. 0.183

E. 0.3443

What is the probability of observing as rare as the current effect noted in the study?

A. 0.0718

B. 0.0576

C. 0.0706

D. 0.0377

E. 0.0803

Explanation / Answer

A. H0 : p = 0.12 H1 : p 6=(not equal sign) 0.12

C. 3.71

B. ±0.39

A. 0.0592

E. 0.0803

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