Question

Suppose that a new cold prevention drug was tested in randomized ,placebocontrolled ,double-blind experiment during the month of december . One thousand healthy adults were randomly divided equally , a treatment group and a control group . the treatment group was given the new drug and the control group received a placebo . During the month ,50 people in the treatment group and 130 people in the control group caught a cold

by using your suitable assumption of level of significance ,discuss an appropriate hypothesis testing with complete steps to evaluate the effectiveness of his new drug for cold prevention

(10 marks)

Answer 1

Here $n_1=50,n_2=130$

Assume at 5% level of significance,

Let the null hypothesis be $H_o$ : The treatment group given a new drug and recives cold after taking treatment.

and alternate hypothesis

$H_a$ : The control group recives placebeo and caught cold after that.