A drug company is developing a product which is intended to shorten the duration of colds. To determine if the product is effective, a study is done with two groups of physiologically similar people. The placebo group is given a sugar pill, the treatment group is given the cold remedy, and the results are given below.
|Cold duration (days)||Placebo group (relative frequency)||Treatment group (frequency)|
We want to determine whether or not there is a significant difference in the distribution of the cold durations between the placebo group and the treatment group. Use α = .01 to make your conclusion.
The value of the chi-square statistic is:
The p-value of the test is:
applying chi square test:
value of the chi-square statistic =16.3833
p-value of the test is =0.0009
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