Removing warts A recently reported study looked at the use of oral zinc supplements to get rid of warts. The treatment group took an oral zinc supplement. Of these $32$people, $19$were rid of their warts after one month, and $6$additional patients were rid of them after two months. The $23$subjects in a control group were given a placebo. Of these, $1$was rid of his warts after one month and $2$additional patients were rid of their warts after two months. The reported results of the study included this table.

(a) The researchers say they did a chi-square test on this table. Explain why that makes no sense. Then make a correct two-way table displaying the results of the experiment.

(b) Explain why it is not appropriate to use a chi-square test in this setting even with the correct two-way table.

Step by step solution

01

Part (a) Step 1:Given Information

02

Part (a) Step 2: Explanation

There are $32$participants from the treatment who are not given full details. Group and $23$of the observed experimental group. So, the use of Chi-square makes no sense. The above-mentioned table exam.

Below is the product of the two-way table from the previous experiment:

03

Part (b) Step 3: Given Information

04

Part (b) Step 4: Explanation

The expected count for any cell when $H_0$is true is

For the expected count

$\text{Expected count}=\frac{\text{Raw Total}\times \text{Column Total}}{\text{Table Total}}$

Since at least $5$are not all expectations. So, in this situation, a chi-square test should not be carried out.

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