The superintendent of Hospital 2 performed the Goodness of Fit Test to test whether 25% of the patients go to Hospital 1, 20% of the patients go to Hospital 2 and 55% of the patients go to Hospital 3.  Given: The superintendent found that the p-value for the test is 0.004. Let: p1= be the proportion of patients at Hospital 1 p2= be the proportion of patients at Hospital 2 p3= be the proportion of patients at Hospital 3 a) give the null hypothesis  b) calculate the value of the test statistic  c) the smallest level of significance, at which H0 may be rejected is?

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The superintendent of Hospital 2 performed the Goodness of Fit Test to test whether 25% of the patients go to Hospital 1, 20% of the patients go to Hospital 2 and 55% of the patients go to Hospital 3. 

  • Given: The superintendent found that the p-value for the test is 0.004.
  • Let: p1= be the proportion of patients at Hospital 1
    p2= be the proportion of patients at Hospital 2

    p3= be the proportion of patients at Hospital 3

a) give the null hypothesis 

b) calculate the value of the test statistic 

c) the smallest level of significance, at which H0 may be rejected is? 

 

A cross-sectional study is conducted to investigate cardiovascular disease (CVD) risk factors among a sample of patients seeking medical care at one of
three local hospitals. A total of 1100 patients are enrolled. Based on the following data, we would like to determine if there is a significant association
between the family history of CVD and the enrollment site.
Enrollment Site
Family History of CVD
Hospital 1
Hospital 2
Hospital 3
Total
Yes
68
16
116
200
No
234
162
504
900
Total
302
178
620
1100
Given:
The value of the test statistic is x² =14.043.
%3D
Use a = 0.01 as the level of significance.
Transcribed Image Text:A cross-sectional study is conducted to investigate cardiovascular disease (CVD) risk factors among a sample of patients seeking medical care at one of three local hospitals. A total of 1100 patients are enrolled. Based on the following data, we would like to determine if there is a significant association between the family history of CVD and the enrollment site. Enrollment Site Family History of CVD Hospital 1 Hospital 2 Hospital 3 Total Yes 68 16 116 200 No 234 162 504 900 Total 302 178 620 1100 Given: The value of the test statistic is x² =14.043. %3D Use a = 0.01 as the level of significance.
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