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The proportion of voters each of the five parties:

Party

Bloc Quebecois

Conservative

Green Party

Liberal Party

New Democratic

Proportion

0.06

0.40

0.04

0.19

0.31

A sample of 500 voters was interviewed one year after the election and asked which party they support.  The results are shown in the table below:

Party

Bloc Quebecois

Conservative

Green Party

Liberal Party

New Democratic

Count

37 

171 

25 

119 

148 

Expected

   

   

   

   

   

Cell Chi-Square

   

   

   

   

  

We would like to conduct a chi-square goodness of fit test at the 10% level of significance to determine whether party support has changed in Canada since the last election.   (a)  Calculate the expected cell counts and the cell chi-square values and enter them in the table above.  (Round all values to  two  decimal places.) (b)  There are no expected cell counts less than 5, so we can safely use the chi-square distribution.   The value of the test statistic for the appropriate test of significance (rounded to two decimal places) is  http://angel.bfwpub.com/intellipro/geteq.ashx?eqtext=%26chi%3B%40SUP%7B2%7D%3D  . (c)  The P-value for the appropriate test of significance is between    and   . (d)  What is the correct conclusion of the test?

 Reject H0.  There is insufficient evidence that party support has changed since the election.

 Reject H0.  There is insufficient evidence that party support has remained the same since the election.

 Fail to reject H0.  There is sufficient evidence that party support has remained the same since the election.

 Fail to reject H0.  There is sufficient evidence that party support has changed since the election.

 Fail to reject H0.  There is insufficient evidence that party support has changed since the election.

 Reject H0.  There is sufficient evidence that party support has remained the same since the election.

 Fail to reject H0.  There is insufficient evidence that party support has remained the same since the election.

 Reject H0.  There is sufficient evidence that party support has changed since the election.

(e)  If we used the critical value method to conduct the test, the decision rule would be to reject H0 if  http://angel.bfwpub.com/intellipro/geteq.ashx?eqtext=%26chi%3B%40SUP%7B2%7D%26ge%3B