Problem 2. In a famous meta-analysis, Linus Pauling examined an experiment in which a group of children at ski school were given a pill containing either 1 gram of Vitamin C or a placebo, and were followed to see if they caught a cold. The data is shown in the two-way table below Total 139 140 279 No Cold 122 109 231 Cold 17 31 48 Vitamin C Placebo Total AWhy did the study use a placebo (instead of just not giving some children any pill at all)? At the 5% significance level, is there a difference in the rate at which children catch colds when given Vitamin C compared to placebo? Under the null hypothesis for the chi-square test of independence, fill in the expected counts in C. the table below, to two decimal places: No Cold Cold Vitamin C Placebo

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Problem 2. In a famous meta-analysis, Linus Pauling examined an experiment in which a group of
children at ski school were given a pill containing either 1 gram of Vitamin C or a placebo, and were
followed to see if they caught a cold. The data is shown in the two-way table below
Total
139
140
279
No Cold
122
109
231
Cold
17
31
48
Vitamin C
Placebo
Total
AWhy did the study use a placebo (instead of just not giving some children any pill at all)?
At the 5% significance level, is there a difference in the rate at which children catch colds when
given Vitamin C compared to placebo?
Under the null hypothesis for the chi-square test of independence, fill in the expected counts in
C.
the table below, to two decimal places:
No Cold
Cold
Vitamin C
Placebo
Transcribed Image Text:Problem 2. In a famous meta-analysis, Linus Pauling examined an experiment in which a group of children at ski school were given a pill containing either 1 gram of Vitamin C or a placebo, and were followed to see if they caught a cold. The data is shown in the two-way table below Total 139 140 279 No Cold 122 109 231 Cold 17 31 48 Vitamin C Placebo Total AWhy did the study use a placebo (instead of just not giving some children any pill at all)? At the 5% significance level, is there a difference in the rate at which children catch colds when given Vitamin C compared to placebo? Under the null hypothesis for the chi-square test of independence, fill in the expected counts in C. the table below, to two decimal places: No Cold Cold Vitamin C Placebo
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