Question

Are avid readers more likely to wear glasses than those who read less frequently? Three hundred men in Ohio were selected at random and characterized as to whether they wore glasses and whether the amount of reading they did was above average, average, or below average. The results are presented in the following table. Glasses? Yes No Amount of reading Above average Average Below average Total 47 48 31 126 26 78 70 174 Suppose we wish to test the null hypothesis that there is no association between the amount of reading and wearing glasses. Under the null hypothesis, what is the numerical value of the chi-square statistic? (2 points) A) 2 B) 8.65 C) 21 D) 30.7

Answer 1

Option C

Explanation:

Given that three hundred men in Ohio were selected at random and characterized as to whether they wore glasses and whether the amount of reading they did was above average, average, or below average. The results are presented in the following table.

H0: There is no association between the amount of reading and wearing glasses

Ha: There is association between the amount of reading and wearing glasses

(Two tailed chi square test)

25 12.5 12.5

Above avg. Avg. Below avg Total

Yes 47 48 31 126

No 26 78 70 174

73 126 101 300

Contingency table

Above avg. Avg. Below avg Total

Yes 30.66 52.92 42.42 126

No 42.34 73.08 58.58 174

73 126 101 300

Chisquare 8.708271363 0.457414966 3.074408298 12.24009463

6.305989608 0.331231527 2.226295664 8.863516799

21.10361143

df = 2

Test statistic = 21

Option c