Randolph College
Department of Mathematics and Computer Science

 

Homework # 22 - MATH 2227


The problems on this homework must be done alone.  The honor code is in effect.

 First name:   Last name:


 

The green party and the purple party vote on a measure.

 

party\(\begin{array} {|r|r|r|r|}\hline & for & against & abstain \\ \hline green & 51 & 21 & 3 \\ \hline purple & 33 & 13 & 4 \\ \hline \end{array}\)

 

Assume that \(H_0\) is the hypothesis that party and vote are independent and \(H_1\) is the hypothesis that they are not independent

 

1.  Compute the chi-square statistic.

a.  0.0080

b.  0.92

c.  1.80

b.  4.80

c.  8.82

 

2.  Estimate the p-value of your result.

a.  between .9 and .95

b.  between .1 and .9

c.  between .05 and .1

d.  between .025 and .05

d.  between .010 and .025

 

3.  In the above test, if \(\alpha = 10\%\), what should we do?

a.  Accept the null hypothesis.

b.  Fail to reject the null hypothesis.

c.  Reject the null hypothesis.