The student newspaper called Campus Press polled a simple random sample of 280 undergraduate students in order to study student attitude toward a proposed change in dormitory regulations.Students responded as supporting,opposing,or standing neutral with regards to the issue.The numbers are displayed in the table below. Suppose that the Campus Press suspects that half of the students support the change in regulations and 20% of them oppose (leaving 30% to be neutral).What would be the null hypothesis for a chi-square test based on this suspicion?
A)The three attitudes are all equally likely to be observed.
B)The proportion of supporting students is 0.50.
C)The proportion of supporting students and the proportion of opposing students are both equal to 0.50.
D)The proportion of supporting students is 0.50,the proportion of opposing students is 0.20,and the proportion of neutral students is 0.30.

Question

The student newspaper called Campus Press polled a simple random sample of 280 undergraduate students in order to study student attitude toward a proposed change in dormitory regulations.Students responded as supporting,opposing,or standing neutral with regards to the issue.The numbers are displayed in the table below.  Suppose that the Campus Press suspects that half of the students support the change in regulations and 20% of them oppose (leaving 30% to be neutral).What would be the null hypothesis for a chi-square test based on this suspicion?
A)The three attitudes are all equally likely to be observed. 
B)The proportion of supporting students is 0.50. 
C)The proportion of supporting students and the proportion of opposing students are both equal to 0.50. 
D)The proportion of supporting students is 0.50,the proportion of opposing students is 0.20,and the proportion of neutral students is 0.30.

Quizplus · Accepted Answer

The null hypothesis for a chi-square test in this scenario would be that the proportion of supporting students is 0.50, the proportion of opposing students is 0.20, and the proportion of neutral students is 0.30, which is consistent with the suspicions of the Campus Press. The chi-square test would then determine whether the observed frequencies in the sample differ significantly from what would be expected under this null hypothesis.

The Student Newspaper Called Campus Press Polled a Simple Random