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 either support, oppose, or neutral with regards to the issue. The numbers are below:
Support 158 Neutral 73 Oppose 49 Total 280
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 3 attitudes are all equally likely to be observed
B. The porportion of supporting students is 0.50
C. The proportion of supporting students and the proportion of opposing students are both equal to 0.50
C. 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
What is the value of the chi-square statistic? A. 0.875 B. 2 C. 2.31 D. 4.63
Are the data statistically significant at the 5% significance level? A. Yes B. No C. This cannot be determined from the information given.