A pharmaceutical company conducts a clinical trial to see if

A pharmaceutical company conducts a clinical trial to see if more patients who take a new drug experience headache relief than the 40% who claimed relief after taking the standard drug. Let p be the proportion of all people who would feel headache relief after taking the new drug. What are the hypothesis ? Write them in terms of p and also in words (sentences). H0 : p The null hypothesis is that The alternative hypothesis is that In this context, what is a Type I error ? In this context, what is a Type II error ?

Solution

a)

Ho: p > 0.4

Ha : p<=0.4

the null hypothesis is that more than 40% people claim relief from headache after taking new drug

the alternate hypothesis is that less than 40% people claim relief from headache after taking new drug

b)

Type 1 error is rejectig null hypothesis when it is true

so, the type 1 error is rejecting null hypotheis although p >0.4

c)

Type 2 error is failure to reject null hypothesis when it is false

so, type 2 error is failure to reject null hypothesis although p <0.4