For problems 1 and 2 . Medical researchers compared the incidence of side effect

Question

For problems 1 and 2. Medical researchers compared the incidence of side effects of a drug for pain relief to those of a placebo. Data on 120 patients are shown below.

1. Assuming that there is no association between drug and side effects, what is the expected number for the drug-side effects cell?

2. The computed chi-square statistic for this table is 6.099. Is there or isn’t there a significant association between drug and side effects? Explain?

Drug Placebo side effects 20 no side effects 50 45

Explanation / Answer

H0: there is no association between drug and side effects

H1: there is association between drug and side effects

The expected frequencies are

2. Test statistic of chisquare distribution is

Test Statistic, X^2: 6.0992
Critical X^2:         3.841456
P-Value:               0.0135

Here P value < alpha (0.05), we reject H0.,

Thus, we conclud that there is association between drug and side effects

Optimal Borderline Total Yes 14.583 55.417 70 No 10.417 39.583 50 Total 25 95 120

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