In a group of 227 taking an experimental pill, 52 developed nausea. In a group of 45 taking a placebo, 5 developed nausea. Find the P-value used to test the claim that the proportion of all taking the experiment pill developing nausea is greater than the proportion of all taking the placebo developing nausea. Use a 0.05 significance level.
Given,
We know that,
z = 1.7767
The corresponding p value is,
P-value = 0.0378
Conclusion : since the p value is lesser than the level of significance (0.05) we reject the null hypothesis and conclude that the proportion of all taking the experiment pill developing nausea is greater than the proportion of all taking the placebo developing nausea.
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