A Washington Post poll shows that concerns about housing payments have spiked despite some improvements in the overall economy. In all, 53 percent of the 900 American adults surveyed said they are "very concerned"or "somewhat concerned"about having the money to make their monthly payment. Let p represent the population proportion of all American adults who are "very concerned"or "somewhat concerned"about having the money to make their monthly payment. Which are the appropriate hypotheses to assess if a majority of American adults are worried about making their mortgage or rent payments? A) H₀: p = 0.50 versus H_a: p 0.50 B) H₀: p$\neq$ 0.50 versus H_a: p 0.53 D) H₀: p = 0.50 versus H_a: p = 0.53

Question

A Washington Post poll shows that concerns about housing payments have spiked despite some improvements in the overall economy. In all, 53 percent of the 900 American adults surveyed said they are "very concerned"or "somewhat concerned"about having the money to make their monthly payment. Let p represent the population proportion of all American adults who are "very concerned"or "somewhat concerned"about having the money to make their monthly payment. Which are the appropriate hypotheses to assess if a majority of American adults are worried about making their mortgage or rent payments? A) H₀: p = 0.50 versus H_a: p > 0.50 B) H₀: p$\neq$ 0.50 versus H_a: p < 0.50 C) H₀: p = 0.53 versus H_a: p > 0.53 D) H₀: p = 0.50 versus H_a: p = 0.53

Quizplus · Accepted Answer

The null hypothesis (H0) should state there is no effect or difference, which in this context means assuming the proportion of American adults concerned about housing payments is 0.50 (50%), indicating no majority concern. The alternative hypothesis (Ha) should test if the proportion is greater than 0.50, indicating a majority are concerned. Therefore, option A correctly sets up the hypotheses to assess if a majority of American adults are worried about making their mortgage or rent payments.

A Washington Post Poll Shows That Concerns About Housing Payments ≠\neq=

A Washington Post Poll Shows That Concerns About Housing Payments $\neq$