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Sagot :
There is sufficient evidence to to refute the sales manager's claimed proportions of customers who prefer each product using the data.
H0:p1=0.5,p2=0.3,p3=0.2
Ha:At least one proportion is different from the stated proportions.
Null hypothesis indicate that proportions are same as stated.
Product observed(fo) pi Expected(fe) (fo-fe)^2/fe
Whole 74 0.5 154.50 41.943
Universal 71 0.3 92.70 5.080
Annuities 164 0.2 61.80 169.010
Total 309 1 309 216.033
Expected value for the number of customers who prefer Whole Life=309*0.5=154.50
Expected value for the number of customers who prefer Universal Life=309*0.3=92.70
Test statistic:
Chi square=216.033
df=3-1=2
critical Chi square value=CHIINV(0.01,2)=9.210
Reject the null hypothesis
Therefore, There is sufficient evidence to to refute the sales manager's claimed proportions of customers who prefer each product using the data.
To learn more about proportions click here:
brainly.com/question/7096655
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