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 0.88355. Let: Pi = 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 Give the null hypothesis: O Ho : Pi = P2 = P3 = 0.333 O Ho : P1 = P2 = p3 = 0.5 O Ho : P1 # P2 P3 O Ho : P1 = P2 = P3 = 1 o Ho : P1 = P2 = P3 о Но : рі + 0.25, р2 + 0.2, рз # 0.55 О Но : Рі — 0.25, р2 — 0.2, рз — 0.55 O Ho: P1 =P2 = P3 = 0 Calculate the value of the test statistic. Round your answer to 4 decimal places.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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  • The smallest level of significance, at which H0H0 may be rejected is:

 

 

  • α=0.005α=0.005
  • α=0.01α=0.01
  • α=0.025α=0.025
  • α=0.05α=0.05
  • α=0.1α=0.1
  • H0H0 cannot be rejected at any of the above levels of significance

 

 

 

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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 800 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
42
52
106
200
No
162
111
327
600
Total
204
163
433
800
Given:
The value of the test statistic is x? = 6.321.
Use a = 0.1 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 800 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 42 52 106 200 No 162 111 327 600 Total 204 163 433 800 Given: The value of the test statistic is x? = 6.321. Use a = 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, 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 0.88355.
Let:
Pi = be the proportion of patients at Hospital i
P2 = be the proportion of patients at Hospital 2
P3 = be the proportion of patients at Hospital 3
Give the null hypothesis:
O Ho : Pi = P2 = P3 = 0.333
О Но : р1 — р2 — Рз — 0.5
o Ho : P1 + P2 + P3
O Ho : P1 = P2 = P3 = 1
o Ho : P1 = P2 = P3
О Но : Рі 70.25, рэ 7 0.2, рз #0.55
O Ho : P1 =
0.25, р2 — 0.2, рз — 0.55
О Но : рі — Рә — Рз — 0
Calculate the value of the test statistic.
Round your answer to 4 decimal places.
Transcribed Image Text: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 0.88355. Let: Pi = be the proportion of patients at Hospital i P2 = be the proportion of patients at Hospital 2 P3 = be the proportion of patients at Hospital 3 Give the null hypothesis: O Ho : Pi = P2 = P3 = 0.333 О Но : р1 — р2 — Рз — 0.5 o Ho : P1 + P2 + P3 O Ho : P1 = P2 = P3 = 1 o Ho : P1 = P2 = P3 О Но : Рі 70.25, рэ 7 0.2, рз #0.55 O Ho : P1 = 0.25, р2 — 0.2, рз — 0.55 О Но : рі — Рә — Рз — 0 Calculate the value of the test statistic. Round your answer to 4 decimal places.
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