Answer:
B) a one-tailed test should be utilized, in which the region of rejection is in the right (upper tail)
Step-by-step explanation:
Explanation:-
<u>one tailed test:</u>-
A test of any statistical hypothesis where the alternative hypothesis is one tailed test(right tailed or left tailed) is called a one tailed test.
For example, In a test for testing the mean of a population in a single tailed test.
we assume that the null hypothesis H0:μ = μ0 against the alternative hypothesis.
H1:μ > μ0 (right tailed)
H1:μ < μ0 (left tailed) is called one tailed test.
<u>Two tailed test</u>:-
In a test of statistical hypothesis where the alternative hypothesis is two tailed test.
we assume that the null hypothesis H0:μ = μ0
Alternative hypothesis H1 :μ ≠ μ0 is called two tailed test.
Given data
There is evidence that the mean family income in the U.S. is greater than $30,000
<u>we will use right tailed test.</u>
<u>Null hypothesis</u> :- H0:μ = μ0
<u>Alternative hypothesis</u>:-H1 : μ> 30,000 (right tailed test)