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,...


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

Extracted 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.

Jun 11, 2022
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