p-value = i 0.0001 Conclusion: Reject Но-
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test \( H_0 : p = 0.3 \) vs \( H_a : p < 0.3 \) using the sample results \( \hat{p} = 0.21 \) with \( n = 199 \).
Round your answer for the test statistic to two decimal places, and your answer for the \( p \)-value to three decimal places.
**Test Statistic:**
\[
\text{test statistic} = -2.77
\]
**P-value:**
\[
p\text{-value} = 0.0001
\]
**Conclusion:**
Reject \( H_0 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb6eee3c9-9740-4341-93b0-486cca64d4ed%2F997e345f-fe2e-4160-8083-2d16127f6d46%2Fqvl9r5k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use the normal distribution and the given sample results to complete the test of the given hypotheses. Assume the results come from a random sample and use a 5% significance level.
Test \( H_0 : p = 0.3 \) vs \( H_a : p < 0.3 \) using the sample results \( \hat{p} = 0.21 \) with \( n = 199 \).
Round your answer for the test statistic to two decimal places, and your answer for the \( p \)-value to three decimal places.
**Test Statistic:**
\[
\text{test statistic} = -2.77
\]
**P-value:**
\[
p\text{-value} = 0.0001
\]
**Conclusion:**
Reject \( H_0 \).
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