In a sample of 50 leopards selected randomly from one preserve, it is found that 33 of them have respiratory problems. Find the p-value for a test of the claim that the proportion of all leopards in the preserve who suffer from respiratory problems is equal to 38%. p-value = (Show all decimal places if the answer is close to 0 or 1 otherwise round to 4 places.)

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
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In a sample of 50 leopards selected randomly
from one preserve, it is found that 33 of them
have respiratory problems. Find the p-value
for a test of the claim that the proportion of
all leopards in the preserve who suffer from
respiratory problems is equal to 38%.
p-value =
(Show all decimal places if the answer is close
to 0 or 1 otherwise round to 4 places.)
Transcribed Image Text:In a sample of 50 leopards selected randomly from one preserve, it is found that 33 of them have respiratory problems. Find the p-value for a test of the claim that the proportion of all leopards in the preserve who suffer from respiratory problems is equal to 38%. p-value = (Show all decimal places if the answer is close to 0 or 1 otherwise round to 4 places.)
Expert Solution
Step 1

Given,

Statistics homework question answer, step 1, image 1

The sample proportion is,

Statistics homework question answer, step 1, image 2

 

 

Step 2

The null and alternative hypothesis is:

Statistics homework question answer, step 2, image 1

Calculate test statistic:

Under the null hypothesis, the test statistic for one sample proportion is,

Statistics homework question answer, step 2, image 2

 

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