Q1:
It has been experienced that proportions of defaulters in tax payments belonging to
business class and professional class are same, the results of a sample survey are:
Sample size
Proportion of Defaulters
Business Class
n1 = 400
?p1= 0.20
Professional class
n2 = 420
?p2= 0.15
What is the value of pooled sample proportion ?p?
0.374
0.174
0.274
1.740
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Q2:
From the following ANOVA table:
Source of
SS
variation
Treatment
12
Error
24
Total
The missing F-statistic value is?
Degree of
freedom
3
12
MS
F-statistic
4
2
——–
2
4
3
1
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Q3:
A hypothesis test was made of H0: ?1 = ?2 versus H1: ?1 not equal to ?2 . Independent
random samples were drawn from approximately normal populations. The sample means
were top enclose X subscript 1 end enclose space equals 73 and top enclose X subscript 2
end enclose space equals 71 . The population standard deviations were ?1 = 4 and ?2 = 3.
The sample sizes were n1 = 24 and n2 = 18, then the value of the test statistic Z is given by:
3.68
2.37
4.9
2.7

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