A report on the U.S.economy indicates that 28% of Americans have experienced difficulty in making mortgage payments.A news organization randomly sampled 400 Americans from 10 cities named the "fastest dying cities in the U.S." (Forbes Magazine, August 2008) and found that 136 reported such difficulty.Does this indicate that the problem is more severe among these cities? The correct null and alternative hypotheses for testing this claim are ________________________ . A)H₀: p = 0.28 and H_A : p 0.28 B)H₀: p = 0.28 and H_A : p 0.28 and H_A : p = 0.28

Question

A report on the U.S.economy indicates that 28% of Americans have experienced difficulty in making mortgage payments.A news organization randomly sampled 400 Americans from 10 cities named the "fastest dying cities in the U.S." (Forbes Magazine, August 2008) and found that 136 reported such difficulty.Does this indicate that the problem is more severe among these cities? The correct null and alternative hypotheses for testing this claim are ________________________ . A)H₀: p = 0.28 and H_A : p > 0.28 B)H₀: p = 0.28 and H_A : p < 0.28 C)H₀: p = 0.28 and H_A : p ≠ 0.28 D)H₀: p ≠ 0.28 and H_A : p = 0.28 E)H₀: p > 0.28 and H_A : p = 0.28

Quizplus · Accepted Answer

The null hypothesis (H0) is a statement of no effect or no difference, and it often posits that the population parameter is equal to a certain value. In this case, H0: p = 0.28 suggests that the proportion of Americans in the "fastest dying cities" who have difficulty making mortgage payments is the same as the national average (28%). The alternative hypothesis (Ha) is what you test against the null hypothesis. Ha: p > 0.28 suggests that the proportion in these cities is greater than the national average, indicating a more severe problem in these cities.

A Report on the U