raquat is one of the most widely used herbicides and is highly toxic to animals. In a study to assess the protective effects of a new agent A against paraquat, 200 rats were randomly assigned to three groups. The first group (treatment I) was administered paraquat; the second group (treatment II) was administered paraquat plus a low dose of agent A; the third group (treatment III) was administered paraquat plus a high dose of agent A. The number of rats that survived more than eight days for each group was recorded and are presented in Table 2.     At the 1% level of significance, does the p-value support the claim that agent A affects the survival rate of paraquat infected rats? Explain.

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Paraquat is one of the most widely used herbicides and is highly toxic to animals. In a study to assess the protective effects of a new agent A against paraquat, 200 rats were randomly assigned to three groups. The first group (treatment I) was administered paraquat; the second group (treatment II) was administered paraquat plus a low dose of agent A; the third group (treatment III) was administered paraquat plus a high dose of agent A. The number of rats that survived more than eight days for each group was recorded and are presented in Table 2.

 

 

At the 1% level of significance, does the p-value support the claim that agent A affects the survival rate of paraquat infected rats? Explain.

 

 

 

 

 

 

 

 

(f) Is the requirement that the expected frequency in each cell is 5 or greater satisfied?

Explain.

Table 2: Two-way Table of Counts
Survived more than 8 days
Treatment
Yes
No
Total
25
42
67
II
27
39
66
II
40
27
67
Total
92
108
200
Transcribed Image Text:Table 2: Two-way Table of Counts Survived more than 8 days Treatment Yes No Total 25 42 67 II 27 39 66 II 40 27 67 Total 92 108 200
Chi-Square Tests
Asymptotic
Significance
(2-sided)
Value
df
Pearson Chi-Square
7.787*
.020
Likelihood Ratio
7.812
.020
N of Valid Cases
a. O cells (0.0%) have expected count less than 5. The
minimum expected count is 30.36.
200
2.
2.
Transcribed Image Text:Chi-Square Tests Asymptotic Significance (2-sided) Value df Pearson Chi-Square 7.787* .020 Likelihood Ratio 7.812 .020 N of Valid Cases a. O cells (0.0%) have expected count less than 5. The minimum expected count is 30.36. 200 2. 2.
Expert Solution
Step 1

The table of observed values is shown below

  Yes   No   Total  
I 25  42  67 
II 27  39  66 
III 40  27  67 
Total 92  108  200 

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α=0.01

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