The superintendent of Hospital 2 performed the Goodness of Fit Test to test whether 25% of the patients go to Hospital 1, 15% of the patients go to Hospital 2 and 60% of the patients go to Hospital 3.  Given: The superintendent found that the pp-value for the test is 0.25091 Let: p1=p1= be the proportion of patients at Hospital 1 p2=p2= be the proportion of patients at Hospital 2 p3=p3= be the proportion of patients at Hospital 3 a) Give the null hypothesis (select one from the options): H0:p1≠0.25,p2≠0.15,p3≠0.6 H0:p1=p2=p3=0 H0:p1=p2=p3=0.333 H0:p1=p2=p3 H0:p1=p2=p3=0.5 H0:p1≠p2≠p3 H0:p1=p2=p3=1 H0:p1=0.25,p2=0.15,p3=0.6 b) Calculate the value of the test statistic. ___________ c) The smallest level of significance, at which H0H0 may be rejected is (select one from the options): α=0.005 α=0.01 α=0.025 α=0.05 α=0.1 H0 cannot be rejected at any of the above levels of significance

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
Problem 11PPS
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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 500500 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 34 8 58 100
No 104 72 224 400
Total 138 80 282 500
  • Given:
    • The value of the test statistic is χ2= 6.912 
    • Use α=0.1 as the level of significance.

The superintendent of Hospital 2 performed the Goodness of Fit Test to test whether 25% of the patients go to Hospital 1, 15% of the patients go to Hospital 2 and 60% of the patients go to Hospital 3. 

  • Given: The superintendent found that the pp-value for the test is 0.25091
  • Let:

p1=p1= be the proportion of patients at Hospital 1

p2=p2= be the proportion of patients at Hospital 2

p3=p3= be the proportion of patients at Hospital 3

a) Give the null hypothesis (select one from the options):

  • H0:p1≠0.25,p2≠0.15,p3≠0.6
  • H0:p1=p2=p3=0
  • H0:p1=p2=p3=0.333
  • H0:p1=p2=p3
  • H0:p1=p2=p3=0.5
  • H0:p1≠p2≠p3
  • H0:p1=p2=p3=1
  • H0:p1=0.25,p2=0.15,p3=0.6

b) Calculate the value of the test statistic.

___________

c) The smallest level of significance, at which H0H0 may be rejected is (select one from the options):

  • α=0.005
  • α=0.01
  • α=0.025
  • α=0.05
  • α=0.1
  • H0 cannot be rejected at any of the above levels of significance
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