Suppose a random sample of 1,220 U.S. adults were asked about their opinion regarding federal spending on public education. Respondents were asked whether federal spending on public education was (a) too low, (b) adequate, or (c) too high. Respondents were classified by income Level. Choose the correct hypotheses to test whether there is an association between the response to the question and income level.
A) $\mathrm { H } _ { 0 } :$ There is no difference between the proportions of U.S. adults who responded (a), (b) or (c) to the opinion question.
$\mathrm { H } _ { \mathrm { a } }$ : There is a difference between the proportions of U.S. adults who responded (a), (b) or (c) to the opinion question.

B) $\mathrm { H } _ { 0 }$ : Among U.S. adults, opinions about federal spending on education and income level are associated.
$\mathrm { H } _ { \mathrm { a } }$ : Among U.S. adults, opinions about federal spending on education and income level are independent.

C) $\mathrm { H } _ { 0 }$ : Among U.S. adults, opinions about federal spending on education and income level are independent.
$\mathrm { H } _ { \mathrm { a } }$ : Among U.S. adults, opinions about federal spending on education and income level are associated.
D) None of these

Question

Suppose a random sample of 1,220 U.S. adults were asked about their opinion regarding federal spending on public education. Respondents were asked whether federal spending on public education was (a) too low, (b) adequate, or (c) too high. Respondents were classified by income Level. Choose the correct hypotheses to test whether there is an association between the response to the question and income level. 
A) $\mathrm { H } _ { 0 } :$ There is no difference between the proportions of U.S. adults who responded (a), (b) or (c) to the opinion question.
$\mathrm { H } _ { \mathrm { a } }$ : There is a difference between the proportions of U.S. adults who responded (a), (b) or (c) to the opinion question.

B) $\mathrm { H } _ { 0 }$ : Among U.S. adults, opinions about federal spending on education and income level are associated.
$\mathrm { H } _ { \mathrm { a } }$ : Among U.S. adults, opinions about federal spending on education and income level are independent.

C) $\mathrm { H } _ { 0 }$ : Among U.S. adults, opinions about federal spending on education and income level are independent.
$\mathrm { H } _ { \mathrm { a } }$ : Among U.S. adults, opinions about federal spending on education and income level are associated.
D) None of these

Quizplus · Accepted Answer

The correct hypotheses for testing the association between two categorical variables (opinion and income level) are that they are independent (null hypothesis) versus they are associated (alternative hypothesis).

Suppose a Random Sample of 1,220 U H0:\mathrm { H } _ { 0 } :H0​:

Suppose a Random Sample of 1,220 U $\mathrm { H } _ { 0 } :$