Question

A random sample of 440 patients of cardiology department of a hospital was taken and their workout timing and severity of heart disease status were recorded. The following table shows the workout timing and severity of heart disease:  

Workout (in minutes) Severity of Heart Disease
Low Mild Moderate High Very High
No workout 5 13 26 21 23
0- 15 6 15 19 19 21
15 to 30 16 17 14 16 12
30 to 45 18 17 13 11 9
45 to 60 20 19 15 13 7
≥ 60 16 22 6 5 6

 Test at 5% level of significance whether workout habit and heart disease are associated with to each other or not.  

23 Mar 2023
Answer :
Word Count : 527

To test whether workout habits and heart disease severity are associated with each other, you can perform a chi-squared test for independence. Here's how you can set up the null and alternative hypotheses and calculate the chi-squared statistic:

Null Hypothesis (H0): There is no association between workout habits and heart disease severity.

Alternative Hypothesis (H1): There is an association between workout habits and heart disease severity.

First, you need to calculate the expected frequency for each cell in the contingency table under the assumption that there is no association between the two variables. The expected frequency for each cell can be calculated using the formula:

Certainly, let's calculate the expected frequencies and the chi-squared statistic step by step.

Step 1: Calculate the expected frequencies for each cell using the formula:\[ __________ ____ ______ _____ _________ _______.<br> _____ ________ ___ ______ ________ ________ ____ ________ __________ _______ ____ _________.<br> __________ ___ _________ _____ ___ _________ ______.<br> _____ _________ ____ _____ _______ __________ ______.<br> ________ ___ __________ ___ _________ ____ ___ __________ _______ ____.<br> ______ _________ _______ _______ ____ ___.<br> ____ ________ _____ ___ ______ __________ _____ __________ _______ __________ ___ ____.<br> _____ _____ _________ ________ _______ ___ _________.<br> ____ ___ _____ _______ ______ _______ ________ ______ _____ ___.<br> ______ _____ _____ _____ _________ _____ ____ _________ _________ ________.<br> ____ __________ _____ _______ _______ _________ ________.<br> _________ _______ ____ _____ ______ ________ _______ ______.<br> __________ __________ ____ _________ _____ ________.<br> ______ _____ ________ _____ ___ ___ __________ _______ _____.<br> ___ _____ _____ ______ _____ _______ _________ __________ ___.<br> __________ ________ _________ _________ ________ __________ ____ _____ _________.<br> __________ _________ _____ __________ _________ ________ _______ ______.<br> ___ _____ _______ _________ _________ ________ _____ _________ ______.<br> ____ _________ ____ ______ ______ ___ _____ _______ _______ ______ _____ ____.<br> ___ ____ __________ ______ _____ _______ ________ __________.<br> _______ _______ ___ _______ ___ ______ _______ ________ _______.<br> _________ ______ _______ __________ ____ ________ ________ __________.<br> _______ ________ _______ __________ ________ ______ ___ ______ ___ _________ ___ ______.<br> ____ __________ ___ _______ ____ ___ ______ __________ _________ _______ ______ _______.<br> ____ ____ ___ _______ ____ _______ ____ ______ _______ ______ ____.<br> __________ _____ ________ ___ ______.<br> _______ ______ ____ ______ ________ __________ _________.<br> _________ _____ ____ _______ ________ ___ _______ ________.<br> _______ ___ __________ _____ ___ _____.<br> ____ _____ _____ ______ ______ ______ ___ ____ ___ _________.<br> ____ __________ ___ __________ _______ _____.<br> ___ ___ ____ ___ ___ ________ _____.<br> _________ __________ _____ _______ ______ ___ ________.<br> _________ ____ _____ _______ ______ __________ _______ _____ _______ _______ ___ _____.<br> ____ __________ __________ ________ __________ __________ ___ _______ ________ __________ __________ ________.<br> __________ _____ _______ ___ __________ ______ ____ ____ _____ _______ _____.<br> ________ ___ __________ __________ ____ ______ ___ ________.<br> ___ __________ ______ ______ _________ ________ ______ ______ ____ ____ ________ _______.<br> _____ ____ ____ _______ __________ ________ _________.<br> ________ ______ _______ ____ ________ _________ ________ ______.<br> _____ ___ _________ ____ ______.<br> ________ ___ _________ ____ ___ ____ ______ _____ ____.<br> ________ _________ ___ __________ ____ _______ ______ ________ ___ ____ ___ __________.<br> ______ ______ _________ ______ ________.<br> _______ _______ _________ ________ ___ ____ _____ _________ ____.<br> _______ ____ ______ __________ ___ ___.<br><a class=Get Full Answer on WhatsApp

Related Questions

A hypothetical data of 40 patients on age (in years), weight (in kgs) and systolic blood pressure (in mm/hg) denoting 1 for high SBP and 0 for normal SBP are given in the following table:

S. No. Age Weight SBP
1 52 60 0
2 56 68 1
3 51 54 0
4 63 74 1
5 54 62 0
6 51 67 0
7 51 66 0
8 54 65 0
9 59 71 1
10 51 89 1
11 56 72 1
12 55 72 1
13 46 57 0
14 42 54 0
15 52 63 0
16 65 67 1
17 50 67 0
18 42 53 0
19 50 68 1
20 39 55 0
21 47 48 0
22 42 45 0
23 45 57 0
24 56 83 1
25 49 63 0
26 56 94 1
27 55 87 1
28 53 67 0
29 65 70 1
30 44 70 0
31 48 54 0
32 61 79 1
33 45 85 0
34 63 98 1
35 49 78 0
36 65 80 1
37 60 70 1
38 53 98 1
39 41 53 0
40 50 70 1

For this data:

(i) Fit a multiple logistic regression model.

(ii) Test the significance of the individual model coefficients β1 and β2 at 5% level of significance.

(iii) Obtain the 95% confidence intervals for β1 and β2 .

(iv) Determine the Nagelkerke pseudo R-squared

To study the association between the diabetic patients and their family history of diabetes, the following data were obtained on 70 subjects.  

Diabetes in Family Diabetes in Subject   Total
  Yes No  
Yes 14 3 17
No 3 50 53
Total 17 53 70

Which test is appropriate in this situation? Check whether the diabetes runs with generations in families or not at 5% level of significance using appropriate test.  

A clinical study was conducted on individuals with advanced stage of Hepatocellular Carcinoma to test three lines of Treatments: T1, T2 and T3. Thirthy-six patients with stage III Hepatocellular Carcinoma who agreed to take part in the experiment were randomly allocated one of three line of Treatments T1, T2 and T3. The primary outcome was mortality, and patients were monitored for up to 60 months (5 years) after recruitment. The data (in months) so obtained are given as follows:  

Patient ID Survival time Outcome Treatment Patient ID Survival time Outcome Treatment
ID001 14 Died T3 ID019 50 Died T1
ID002 27 Unknown T1 ID020 54 Unknown T3
ID003 37 Unknown T3 ID021 57 Died T2
ID004 44 Died T1 ID022 60 Survived T3
ID005 27 Died T2 ID023 20 Died T1
ID006 29 Died T3 ID024 22 Unknown T2
ID007 50 Died T2 ID025 11 Unknown T2
ID008 31 Died T1 ID026 12 Unknown T1
ID009 54 Died T2 ID027 57 Unknown T3
ID010 32 Died T2 ID028 60 Survived T3
ID011 32 Unknown T2 ID029 44 Died T1
ID012 60 Unknown T1 ID030 47 Unknown T2
ID013 2 Unknown T2 ID031 32 Died T2
ID014 42 Died T3 ID032 34 Died T1
ID015 42 Unknown T2 ID033 17 Died T2
ID016 60 Died T3 ID034 6 Died T1
ID017 60 Survived T3 ID035 50 Unknown T3
ID018 47 Died T3 ID036 14 Unknown T2

 For this data,
(i) Construct Kaplan and Meier survival curves.
(ii) Test whether there is a significant difference between the survival distributions of the patients under all treatments at 5% level of significance. 

A researcher is interested to check the relationship between the serum creatinine (in mg/dL) with the weight (in kg) and gender (0 if female and 1 if male). The data were collected from the hospital records to examine the contribution of these variables to serum creatinine. A total of 40 patients were sampled and the data are shown in the following table: 

S. No. Serum Creatinine Weight Gender
1 0.7 46 1
2 1.3 65 1
3 1 59 1
4 1.5 84 0
5 1.7 91 1
6 1.5 78 1
7 1 53 0
8 0.7 49 1
9 0.5 42 0
10 1.6 87 0
11 1.1 53 1
12 0.8 54 0
13 1.3 65 1
14 1.1 61 1
15 1.3 71 0
16 1.3 71 0
17 1.2 68 0
18 1.3 65 1
19 1 55 1
20 1.2 66 0
21 1.1 55 1
22 0.9 55 0
23 0.9 62 0
24 1.1 65 0
25 0.8 54 0
26 0.5 45 0
27 0.6 45 0
28 1 62 0
29 0.5 40 0
30 0.9 58 0
31 1.3 65 1
32 1.1 58 1
33 1.4 67 1
34 0.8 42 1
35 1.6 81 1
36 1.8 92 1
37 1.5 80 0
38 1.7 91 1
39 0.8 55 0
40 0.5 33 0

(i) Prepare a scatter plot to get an idea about the relationship among the variables.
(ii) Fit a linear regression model and its related analysis at 1% level of significance.
(iii) Does the fitted regression model satisfy the linearity and normality assumptions?
(iv) Also, draw both fitted regression lines on the scatter plot. 

A random sample of 440 patients of cardiology department of a hospital was taken and their workout timing and severity of heart disease status were recorded. The following table shows the workout timing and severity of heart disease:  

Workout (in minutes) Severity of Heart Disease
Low Mild Moderate High Very High
No workout 5 13 26 21 23
0- 15 6 15 19 19 21
15 to 30 16 17 14 16 12
30 to 45 18 17 13 11 9
45 to 60 20 19 15 13 7
≥ 60 16 22 6 5 6

 Test at 5% level of significance whether workout habit and heart disease are associated with to each other or not.  

IGNOU Solved Assignments Assignments Ignou Projects Project Previous Year Solved Exam Papers Notes Notes Sample Question Papers Sample Question Papers
Login Cart
IGNOU NEWS
Assignment Submission Last Date Extended Till 30 June 2026 Click Here★★★IGNOU June 2026 TEE Date Sheet Released Click Here★★★
Top
📞
Call Support Instant phone assistance A random sample of 440 patients of cardiology department of a hospital
→
🟢
WhatsApp Chat Fast live messaging
→
Email Us Business enquiries & support
→