A group conducted a randomized experiment to see if hormone therapy was helpful for post-menopausal women. The women were randomly assigned to receive a hormone or a placebo. After 5 years, 117 of the 8581 on the hormone therapy developed cancer and 91 of the 8244 in the placebo group developed cancer. Is this a significant difference? Complete parts a through c below.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Question

i need the z and p value

A group conducted a randomized experiment to see if hormone therapy was helpful for post-menopausal women. The women were randomly assigned to receive a hormone or a placebo. After
5 years, 117 of the 8581 on the hormone therapy developed cancer and 91 of the 8244 in the placebo group developed cancer. Is this a significant difference? Complete parts a through c below.
a. State the assumptions and the hypotheses.
What assumptions about the two samples are necessary for the significance test?
OA. The samples are independent, random, and selected from a population that is approximately normal.
B. The samples are independent, random, and a point estimate of the population proportion is known.
C. The response variable is categorical, and the samples are independent, random, and large enough.
OD. The samples are independent, random, and selected from a populations that have the same standard deviation.
Let p represent the probability that someone gets cancer. Let p₁ represent the probability that a person who receives hormone therapy gets cancer, and let p2 represent the probability that a person
who receives a placebo gets cancer. Write the claim as a hypothesis test. Choose the correct null and alternative hypotheses below.
OA. Ho: P₁ = 0 versus Ha: P₁7
1#0
OB. Ho: P₁
C. Ho: P₁
O D. Ho: P₁
P2 versus Ha: P₁ P2
P2 versus Ha: P₁ P₂
P2 versus Ha: P₁1 > P2
b. Find the test statistic and the P-value and interpret.
Find the test statistic.
Z= (Round to two decimal places as needed.)
Transcribed Image Text:A group conducted a randomized experiment to see if hormone therapy was helpful for post-menopausal women. The women were randomly assigned to receive a hormone or a placebo. After 5 years, 117 of the 8581 on the hormone therapy developed cancer and 91 of the 8244 in the placebo group developed cancer. Is this a significant difference? Complete parts a through c below. a. State the assumptions and the hypotheses. What assumptions about the two samples are necessary for the significance test? OA. The samples are independent, random, and selected from a population that is approximately normal. B. The samples are independent, random, and a point estimate of the population proportion is known. C. The response variable is categorical, and the samples are independent, random, and large enough. OD. The samples are independent, random, and selected from a populations that have the same standard deviation. Let p represent the probability that someone gets cancer. Let p₁ represent the probability that a person who receives hormone therapy gets cancer, and let p2 represent the probability that a person who receives a placebo gets cancer. Write the claim as a hypothesis test. Choose the correct null and alternative hypotheses below. OA. Ho: P₁ = 0 versus Ha: P₁7 1#0 OB. Ho: P₁ C. Ho: P₁ O D. Ho: P₁ P2 versus Ha: P₁ P2 P2 versus Ha: P₁ P₂ P2 versus Ha: P₁1 > P2 b. Find the test statistic and the P-value and interpret. Find the test statistic. Z= (Round to two decimal places as needed.)
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