Question

A company claims that cancer patients using drug X will live more than 8 years.

n=25                                   

x̅ = 8.5 year

s = 3.1 year

a) Test at alpha = .05

b) Give the CIE at 99% (two tailed)

Steps to be covered:

1. state the hypothesis and identify the claim
2. find the critical value from the table and mention the acceptance range
3. compute the test value (t test)
4. make the decision to reject or not the null hypothesis

Answer 1

Part a)

To Test -

H0 :-  

H1 :-  

Test Statistic :-


t = 0.8065

Test Criteria :-
Reject null hypothesis if


Result :- Fail to reject null hypothesis

Decision based on P value
P - value = P ( t > 0.8065 ) = 0.2139
Reject null hypothesis if P value < level of significance
P - value = 0.2139 > 0.05 ,hence we fail to reject null hypothesis
Conclusion :- Fail to reject null hypothesis

There is insufficient evidence to support the claim that cancer patients using drug X will live more than 8 years at 5% level of significance.

Part b)

Confidence Interval



Lower Limit =
Lower Limit = 6.7659
Upper Limit =
Upper Limit = 10.2341
99% Confidence interval is ( 6.7659 , 10.2341 )