Use the following information for questions:
Students in a statistics class were asked, "With whom do you find it easier to make friends: person of the same sex, person of opposite sex, or no preference?" A table summarizing the responses by gender is given below. Minitab results for a chi-square test for these data were "Chi-Sq = 7.15 p-value = 0.028.
-What is the null hypothesis for this situation?
A) The variables "gender" and "with whom is it easier to make friends?" are dependent in the population.
B) There is a relationship between gender and whom it is easier to make friends with in the population.
C) The distribution of the answers to the question "with whom is it easier to make friends?" for male students differ from that of the female students.
D) There is no relationship between gender and whom it is easier to make friends with in the population.

Question

Use the following information for questions:
 Students in a statistics class were asked, "With whom do you find it easier to make friends: person of the same sex, person of opposite sex, or no preference?" A table summarizing the responses by gender is given below. Minitab results for a chi-square test for these data were "Chi-Sq = 7.15 p-value = 0.028. 
-What is the null hypothesis for this situation?
A) The variables "gender" and "with whom is it easier to make friends?" are dependent in the population. 
B) There is a relationship between gender and whom it is easier to make friends with in the population. 
C) The distribution of the answers to the question "with whom is it easier to make friends?" for male students differ from that of the female students. 
D) There is no relationship between gender and whom it is easier to make friends with in the population.

Quizplus · Accepted Answer

The null hypothesis typically states that there is no effect or no relationship between variables. In this case, option D correctly states that there is no relationship between gender and with whom it is easier to make friends, which aligns with the definition of a null hypothesis.

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