Researchers conducted an experiment in which people with a certain condition were given either a drug or a placebo to treat the condition. At the significance level of α=0.01α=0.01, a test of the following hypotheses was conducted.
H0:pD=pPHa:pD>pPH0:pD=pPHa:pD> ;pP
In the hypotheses, pDpD represents the proportion of all people who experience an allergic reaction while taking the drug, and represents the proportion of all people who experience an allergic reaction while taking the placebo.
All conditions for inference were met, and the resulting pp-value was 0.12. Which of the following is the correct decision for the test?
The pp-value is less than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo.
A. The pp-value is less than αα, and the null hypothesis is rejected. There is not convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo.
B. The pp-value is greater than αα, and the null hypothesis is not rejected. There is not convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo.
C. The pp-value is greater than αα, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo.
D. The pp-value is greater than αα, and the null hypothesis is not rejected. There is convincing evidence to support the claim that the proportion of people with an allergic reaction will be greater for those taking the drug than for those taking the placebo.