Question

1) a certain drug is used to treat asthma. in a clinical trial 23 of 265 treated subjects experience headache s. the accompanyng calculator displays shows results from a test of the claim that less than 9 % of treated subjects experience headches. use the normal distribution as an aproximation to the binomial and assume a 0.05 significance level to complete parts a throug e below

a) is the test two tailed, left tailed or right tailed?
b) what is the test statistic
c) what is P value
d) what is the null hypothesis and what do u conclude about it?
e) what is the final conclusion?

Answer 1

a) It is left tailed test.

b) The hypotheses are:

Ho: p=0.09

Ha: p<0.09

rejection region:

Reject ho if Z<-Z_0.05=1.65

Test statistic:

c) The p-value associated with Z score computed using Z table shown below as

0.4286

d) since Z >-Z_0.05 and P-value>0.05 we fail to reject the null hypothesis

e) Conclusion:

Since we failed to reject the null hypothesis hence we conclude that there is insufficient evidence to support the claim that p<0.09.