Under independence, calculate the expected number of patients with a family history of CVD, at Hospital 3. Round your answer to 2 decimal places. A necessary condition to perform the hypothesis test is:
Under independence, calculate the expected number of patients with a family history of CVD, at Hospital 3. Round your answer to 2 decimal places. A necessary condition to perform the hypothesis test is:
MATLAB: An Introduction with Applications
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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.
a)
The alternative hypothesis is:
O Hj : The correlation between CVD and Site is zero.
O H1 : CVD and Enrollment Site are independent.
O H : The covariance between CVD and Site is zero.
O H1 : The covariance between CVD and Enrollment Site is positive.
O H1 : The covariance between CVD and Enrollment Site is negative.
O H1 : CVD and Enrollment Site are dependent.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f92166e-a2d2-49c5-b010-ecee21a95b2f%2Fa4d713d8-af79-4b78-9223-fd69c247321e%2F8iveyx6_processed.png&w=3840&q=75)
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.
a)
The alternative hypothesis is:
O Hj : The correlation between CVD and Site is zero.
O H1 : CVD and Enrollment Site are independent.
O H : The covariance between CVD and Site is zero.
O H1 : The covariance between CVD and Enrollment Site is positive.
O H1 : The covariance between CVD and Enrollment Site is negative.
O H1 : CVD and Enrollment Site are dependent.
![b)
Under independence, calculate the expected number of patients with a family history of CVD, at Hospital 3.
Round your answer to 2 decimal places.
c)
A necessary condition to perform the hypothesis test is:
O The expected frequencies must be at least 5.
O The sample size must be at least 30.
O The expected frequencies must be at least 30.
O The cell x²-values must be at least z0.975 =
1.96.
O The cell x²-values must be at least Z0.95 =
1.645.
O The observed frequencies must be at least 30.
O The observed frequencies must be at least 5.
O The row and column totals must be at least 30.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9f92166e-a2d2-49c5-b010-ecee21a95b2f%2Fa4d713d8-af79-4b78-9223-fd69c247321e%2F5mr1gfh_processed.png&w=3840&q=75)
Transcribed Image Text:b)
Under independence, calculate the expected number of patients with a family history of CVD, at Hospital 3.
Round your answer to 2 decimal places.
c)
A necessary condition to perform the hypothesis test is:
O The expected frequencies must be at least 5.
O The sample size must be at least 30.
O The expected frequencies must be at least 30.
O The cell x²-values must be at least z0.975 =
1.96.
O The cell x²-values must be at least Z0.95 =
1.645.
O The observed frequencies must be at least 30.
O The observed frequencies must be at least 5.
O The row and column totals must be at least 30.
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