Your company produces a sunblock lotion designed to protect the skin from both UVA and UVB exposure from the sun. You hire a company to compare your product with the product sold by your major competitor. Let's suppose that the true percent of the time that your lotion would perform better is $p_{0}=0.65$ and you plan to test the null hypothesis $H_{0}: p_{0}=0.5$ versus the two-sided alternative $H_{a} : p_{0} \neq 0.5$ at the $5 \ %$ level. You have a budget that will allow you to test 120 subjects. Use software to find the power of the test for this value of $n$. (Use decimal notation. Give your answer to two decimal places.) power:

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.2: The Least Square Line
Problem 1E
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Your company produces a sunblock lotion designed to protect the skin
from both UVA and UVB exposure from the sun. You hire a company to
compare your product with the product sold by your major competitor.
Let's suppose that the true percent of the time that your lotion would
perform better is $p_{0}-0.65$ and you plan to test the null hypothesis
$H_{0}: p_{0}=0.5$ versus the two-sided alternative $H_{a}: p_{0} \neq
0.5$ at the $5 \ %$ level. You have a budget that will allow you to test
120 subjects. Use software to find the power of the test for this value
of $n$.
(Use decimal notation. Give your answer to two decimal places.)
power:
SP.VS.373
Transcribed Image Text:Your company produces a sunblock lotion designed to protect the skin from both UVA and UVB exposure from the sun. You hire a company to compare your product with the product sold by your major competitor. Let's suppose that the true percent of the time that your lotion would perform better is $p_{0}-0.65$ and you plan to test the null hypothesis $H_{0}: p_{0}=0.5$ versus the two-sided alternative $H_{a}: p_{0} \neq 0.5$ at the $5 \ %$ level. You have a budget that will allow you to test 120 subjects. Use software to find the power of the test for this value of $n$. (Use decimal notation. Give your answer to two decimal places.) power: SP.VS.373
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