Question

Suppose a random sample of​ 1,220 adults in a certain country 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. Upper H 0H0​:
Among adults in the​ country, opinions about federal spending on education and income level are associated.
Upper H Subscript aHa​:
Among adults in the​ country, opinions about federal spending on education and income level are independent.
B. Upper H 0H0​:
There is no difference between the proportions of adults in the country who responded​ (a), (b) or​ (c) to the opinion question.
Upper H Subscript aHa​:
There is a difference between the proportions of adults in the country who responded​ (a), (b) or​ (c) to the opinion question.
C. Upper H 0H0​:
Among adults in the​ country, opinions about federal spending on education and income level are independent.
Upper H Subscript aHa​:
Among adults in the​ country, opinions about federal spending on education and income level are associated.
D. None of these

Answer 1

A. Upper H 0H0​:

Among adults in the​ country, opinions about federal spending on education and income level are associated.

Upper H Subscript aHa​:

Among adults in the​ country, opinions about federal spending on education and income level are independent.

Explanation:

The null hypothesis (H0) is the statement that two phenomena are unrelated (the response and the income level). This hypothesis indicates that a population parameter (in this case, a parameter that represents association) is equal to a hypothetical value.

And the alternative hypothesis is what you expect to prove; that the two phenomena are related in some way. Normally, this hypothesis indicates that a population parameter (in this case, a parameter that represents association) is different from a value.