We wish to test an effect of a drug that claimed to improves the patients with 90% of chance. The drug is given to 20 patients and we observed the number Y of people who improved. The hypothesis is Ho p= 0.9 vs H₁ p < 0.9. Use the rejection region RR = {y ≤ 17} and answer question a-e. a) [ b) State type I error using Y and p. Find a. State type II error using Y and p.

A First Course in Probability (10th Edition)
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Chapter1: Combinatorial Analysis
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Q2.
We wish to test an effect of a drug that claimed to improves the patients with 90% of chance. The drug is
given to 20 patients and we observed the number Y of people who improved.
The hypothesis is
Ho p= 0.9 vs H₁: p < 0.9.
Use the rejection region RR = {y ≤ 17} and answer question a-e.
a) [
b)
d)
State type I error using Y and p.
Find a.
State type II error using Y and p.
Find the rejection region {y ≤ c} with a≈ 0.01.
For the rejection region in e), find ß when p = 0.6.
Transcribed Image Text:Q2. We wish to test an effect of a drug that claimed to improves the patients with 90% of chance. The drug is given to 20 patients and we observed the number Y of people who improved. The hypothesis is Ho p= 0.9 vs H₁: p < 0.9. Use the rejection region RR = {y ≤ 17} and answer question a-e. a) [ b) d) State type I error using Y and p. Find a. State type II error using Y and p. Find the rejection region {y ≤ c} with a≈ 0.01. For the rejection region in e), find ß when p = 0.6.
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