For each of the following six cases, explain (i) the hypotheses with a plausible

Question

For each of the following six cases, 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

i) H0: p=P0

H1: p>P0

We want to test if the new drug helps in incresing the proportion.

ii) This study is really helpful to cnacer patients.

iii) Since p value is 0.19, whcih is greater than 0.05 we accept the null hypothesis and conclude that the new drug doesnot help in increasing the proportion.

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