An analyst at a local bank wonders if the age distribution of

an analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as at the branch located near the mall.  He selects 100 transactions at random from each bank and researches the age information for the associated customers.  Use the accompanying table below to complete parts a through g
                                       
 
Less than 30
30-55
56 or older
Total
In town  branch 
20
42
38
100
Mall Branch
30
48
22
100
Total
50
90
60
200

a.  what are the null and alternative hypothesis
b  what type of test is this
chi square goodness of fit
chi square test of homogeneity
chi-square test of independence
c. what are the expected values
 
Less than 30
30-55
56 or older
Total
In town  branch 



100
Mall Branch



100
Total
50
90
60
200

d.  find X2 statistic_____________
e.  How many degrees of freedom does the x2 statistic have_________ 
f.  find the critical value at a=0.05
X2=____________ 

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