## Question

###### Y Notes As You A drug company is developing a product which is intended to shorten...

y Notes As You 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 (fnequency) 0-5 days 10-12 days 13+ days 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 null hypothesis is: o The distribution of the cold durations is not significantly different in the treatment group than in the placebo group. O The distribution of the cold durations is significantly different in the treatment group than in the placebo group. In (overly simplified!!) layman's terms, the null hypothesis is in effect saying O The cold treatment under study has littile to no effect The cold treatment under study seems to have some The value of the chi-square statistic is: The p-value of the test is: Based on the data, we should: O Reject the null hypothes O Not reject the nul hypothesis Your conclusion is: O The data suggests that the treatment group's cold durations were not significantly different than those in the placebo group. o The data suggests that the treatment group's cold durations were significantly different than those in the placebo group

## Answers

The statistical software output for this problem is:

Hence,

Chi - square statistic = 16.383

p-value = 0.0009

Chi-Square goodness-of-fit results: Observed: Oi Expected: E N DF Chi-Square P-value 200 3 16.383333 0.0009

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