The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >=5 Smoker 25 60 75 Nonsmoker 110 90 40 The conclusion will be: O a) Since 2- 56.428 is not greater than xs = =0.103. we then reject the null hypothesis at 5% level of significance and conclude that smoking and visits to the physician are related. Ob) Since x2=56.428 is greater than os =0.103, we then fail to reject the null hypothesis at 5% level of %3D 95.2 significance and conclude that smoking and visits to the physician are related. Oc) Since x= 56.428 is greater than x os,=0.103. we then reject the null hypothesis at 5% level of significance and conclude that smoking and visits to the physician are not related. O d) Since x=56.428 is greater than xs =0.103, we then reject the null hypothesis at 5% level of significance .95,2 and conclude that smoking and visits to the physician are related.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a
nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at
5% level of significance whether there is a relationship between smoking and visits to the physician.
Status
Visits to the Physician
0-1
2-4
>=5
Smoker
25
60
75
Nonsmoker
110
90
40
The conclusion will be:
a) Since 2 56.428
is not greater than 2 s =0.103. we then reject the null hypothesis at 5% level of
0.95.2
significance and conclude that smoking and visits to the physician are related.
O b) Since x-= 56.428 is greater than xos ,=0.103, we then fail to reject the null hypothesis at 5% level of
significance and conclude that smoking and visits to the physician are related.
O c) Since x= 56.428 is greater than xos =0.103 we then reject the null hypothesis at 5% level of significance
%3D
95.2
and conclude that smoking and visits to the physician are not related.
O d) Since x-=56.428 is greater than s=0,103 , we then reject the null hypothesis at 5% level of significance
95.2
and conclude that smoking and visits to the physician are related.
Transcribed Image Text:The table below gives the two-way classification of 400 randomly selected persons based on their status as a smoker or a nonsmoker and on the number of visits they made to their physicians last year. Suppose you must test the hypothesis at 5% level of significance whether there is a relationship between smoking and visits to the physician. Status Visits to the Physician 0-1 2-4 >=5 Smoker 25 60 75 Nonsmoker 110 90 40 The conclusion will be: a) Since 2 56.428 is not greater than 2 s =0.103. we then reject the null hypothesis at 5% level of 0.95.2 significance and conclude that smoking and visits to the physician are related. O b) Since x-= 56.428 is greater than xos ,=0.103, we then fail to reject the null hypothesis at 5% level of significance and conclude that smoking and visits to the physician are related. O c) Since x= 56.428 is greater than xos =0.103 we then reject the null hypothesis at 5% level of significance %3D 95.2 and conclude that smoking and visits to the physician are not related. O d) Since x-=56.428 is greater than s=0,103 , we then reject the null hypothesis at 5% level of significance 95.2 and conclude that smoking and visits to the physician are related.
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