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explain (i) the hypotheses with a plausible definition of p or µ, (ii) whether o

ID: 3109145 • Letter: E

Question

explain (i) the hypotheses with a plausible definition of p or µ, (ii) whether or not the data indicate practical significance (use common sense and/or general knowledge), and (iii) whether or not the data indicate statistical significance With the standard chemotherapy treatment, the 5-year survival rate for cancer of the blood is 19%. A new drug has been developed that will, it is anticipated, increase the 5-year survival rate for this type of cancer when used in conjunction with the standard chemotherapy. In a large-scale clinical trial, 19.3% of patients with cancer of the blood who were treated with the new drug (and the chemotherapy) survived beyond 5 years. The p-value for the one-sample Z-test was reported as 0.19

Explanation / Answer

Sol:

welldo hypothesis testing with p

Null hypothesis

H0:p=19%=0.19

Alternative hypothesis

H1:p>19%=>0.19

level of significance=0.05

Solution2:

with general sence since sample proprtion=p^=19.3% > 19% we can saythe new drug increase the 5-year survival rate for this type of cancer when used in conjunction with the standard chemotherapy

Solution3:

since p value=0.19

p>0.05

Accept null hypothesis

Statistical conclusion:

there is no sufficient statistical evidence at 5% level of significance to support the claim that

the new drug increase the 5-year survival rate for this type of cancer when used in conjunction with the standard chemotherapy.

New drug is not effective we can conlude.