Null and alternative hypothesis, Applied Statistics

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1) Suppose you want to test a hypothesis that two treatments, A and B, are equivalent against the alternative that the response for A tend to be larger than those of B. You plan to use a paired difference experiment and to analyze the resulting data, which is reproduce below. Given that, the observations are not normally distributed:

i) Specify the null and alternative hypothesis you would test

ii) Conduct the test using the 0.05 significance level

Pair

1

2

3

4

6

7

8

9

10

A

54

60

98

43

82

77

74

29

80

B

45

45

87

31

71

75

63

30

82

2) In a survey to find out the relationship between religious affiliation and attitudes abortion, the data below was obtained:

 

Catholics

Protestants

Moslems

  Total

Approve

          25

 

 

      100

Disapprove

 

         80

 

       200

Total

          80

          120

          100

       300

(i) Copy and complete the table above

(ii) Test the hypothesis that there are no significances among the religious groups in terms of attitude towards abortion. (α=0.05)


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