10. Using the data below, suppose we focus on the proportions of patients who show improvement. Isthere a statistically significant difference in the proportions of patients who show improvement betweentreatments 1 and 2. Run the test at a 5% level of significance.SymptomsWorsenedSymptomsImproved14TotalNo Effect14Treatment 12250Treatment 214152150Treatment 39.122950

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Asked Dec 4, 2019
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Question 10

10. Using the data below, suppose we focus on the proportions of patients who show improvement. Is
there a statistically significant difference in the proportions of patients who show improvement between
treatments 1 and 2. Run the test at a 5% level of significance.
Symptoms
Worsened
Symptoms
Improved
14
Total
No Effect
14
Treatment 1
22
50
Treatment 2
14
15
21
50
Treatment 3
9.
12
29
50
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10. Using the data below, suppose we focus on the proportions of patients who show improvement. Is there a statistically significant difference in the proportions of patients who show improvement between treatments 1 and 2. Run the test at a 5% level of significance. Symptoms Worsened Symptoms Improved 14 Total No Effect 14 Treatment 1 22 50 Treatment 2 14 15 21 50 Treatment 3 9. 12 29 50

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Step 1

10).

It is given that the sample sizes of treatment 1 and treatment 2 are equal to 50 and the number of patients who show improvements for treatment1 and treatment 2 are 14 and 21 respectively.

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That is, n50,X = 14,n, = 50 and X 21

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Step 2

Denote p1 and p2 as the proportions of patients who show improvements for treatment1 and treatment 2.

The proportion patients who show improvements for treatment1 is calculated below:

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X п 14 50 0.28

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Step 3

The proportion patients who show improvement...

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P2 п, 21 50 0.42

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Math

Statistics

Hypothesis Testing

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