In a test of the effectiveness of two antibiotic drugs (Drug 1 and Drug 2) in preventing a bacterial skin infection, test subjects were randomly assigned to three groups. Group 1 was given a placebo, group 2 was given Drug 1 and group 3 was given Drug 2. All the test subjects were then exposed to the bacterial skin infection. Results are summarized in the table above. Use a chi-square test to determine if infection with this bacterial skin infection and treatment group are independent at the 0.05 level of significance. Treatment Group Row Totals Drug 2 50 Placebo Drug 1 Infected 80 40 170 Not Infected 35 25 20 80 Column Totals 115 65 70 250 Provide the following information in your answer: 1. State Ho and H (Make sure to translate these in the context of the problem) 2. x2 test statistic (Round to three decimal places) and p-value (round to four decimal places) 3. Calculate Expected Values (Round to one decimal places) And produce table for the problem. 4. Do you reject the Null Hypothesis or fail to reject the null Hypothesis? 5. State your conclusion.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a test of the effectiveness of two antibiotic drugs (Drug 1 and Drug 2) in preventing a bacterial
skin infection, test subjects were randomly assigned to three groups. Group 1 was given a placebo,
group 2 was given Drug 1 and group 3 was given Drug 2. All the test subjects were then exposed to
the bacterial skin infection. Results are summarized in the table above. Use a chi-square test to
determine if infection with this bacterial skin infection and treatment group are independent at the
0.05 level of significance.
Treatment Group
Row Totals
Placebo
Drug 1
Drug 2
Infected
80
40
50
170
Not Infected
35
25
20
80
Column Totals
115
65
70
250
Provide the following information in your answer:
1. State Ho and H (Make sure to translate these in the context of the problem)
2. x2 test statistic (Round to three decimal places) and
p-value (round to four decimal places)
3. Calculate Expected Values (Round to one decimal places) And produce table for the problem.
4. Do you reject the Null Hypothesis or fail to reject the null Hypothesis?
5. State your conclusion.
Transcribed Image Text:In a test of the effectiveness of two antibiotic drugs (Drug 1 and Drug 2) in preventing a bacterial skin infection, test subjects were randomly assigned to three groups. Group 1 was given a placebo, group 2 was given Drug 1 and group 3 was given Drug 2. All the test subjects were then exposed to the bacterial skin infection. Results are summarized in the table above. Use a chi-square test to determine if infection with this bacterial skin infection and treatment group are independent at the 0.05 level of significance. Treatment Group Row Totals Placebo Drug 1 Drug 2 Infected 80 40 50 170 Not Infected 35 25 20 80 Column Totals 115 65 70 250 Provide the following information in your answer: 1. State Ho and H (Make sure to translate these in the context of the problem) 2. x2 test statistic (Round to three decimal places) and p-value (round to four decimal places) 3. Calculate Expected Values (Round to one decimal places) And produce table for the problem. 4. Do you reject the Null Hypothesis or fail to reject the null Hypothesis? 5. State your conclusion.
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