Question

In: Statistics and Probability

5-year Survival Treatment No Yes Total Yes 4300 750 5050 No 7200 650 7850 Total 11500...

5-year Survival

Treatment

No

Yes

Total

Yes

4300

750

5050

No

7200

650

7850

Total

11500

1400

12900

Q: is the treatment effective? (Calculate and show the chi-squared test p value in your answer.)

Solutions

Expert Solution

using excel>addin>phstat>nultiple sample test

we have

Chi-Square Test
Observed Frequencies
5 year survival Calculations
treatment no yes Total fo-fe
yes 4300 750 5050 -201.938 201.938
no 7200 650 7850 201.938 -201.938
Total 11500 1400 12900
Expected Frequencies
5 year survival
treatment no yes Total (fo-fe)^2/fe
yes 4501.938 548.062 5050 9.058088 74.40572
no 6998.062 851.938 7850 5.827178 47.8661
Total 11500 1400 12900
Data
Level of Significance 0.05
Number of Rows 2
Number of Columns 2
Degrees of Freedom 1
Results
Critical Value 3.841459
Chi-Square Test Statistic 137.1571
p-Value 1.11E-31
Reject the null hypothesis

H0:the treatment is not effecticve

Ha:the treatment is effecticve

the value of chi square is 137.157

p value is 0.000

since p value is less than 0.05 so we reject ho and conclude that the treatment is effecticve


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