A random sample of n = 1,000 observations from a binomial population contained 381 successes. You wish to show that p < 0.4. USE SALT State the null and alternative hypothesis. O Ho: P = 0.4 versus H₂: p > 0.4 O Ho: P < 0.4 versus H₂: p > 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 O Ho: P = 0.4 versus H₂: p < 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 Calculate the appropriate test statistic. (Round your answer to two decimal places.) z = Provide an α = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z > Z < State your conclusion. O Ho is not rejected. There is insufficient evidence to indicate that p is less than 0.4. O Ho is not rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is insufficient evidence to indicate that p is less than 0.4.
A random sample of n = 1,000 observations from a binomial population contained 381 successes. You wish to show that p < 0.4. USE SALT State the null and alternative hypothesis. O Ho: P = 0.4 versus H₂: p > 0.4 O Ho: P < 0.4 versus H₂: p > 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 O Ho: P = 0.4 versus H₂: p < 0.4 O Ho: P = 0.4 versus H₂: p = 0.4 Calculate the appropriate test statistic. (Round your answer to two decimal places.) z = Provide an α = 0.05 rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) Z > Z < State your conclusion. O Ho is not rejected. There is insufficient evidence to indicate that p is less than 0.4. O Ho is not rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is sufficient evidence to indicate that p is less than 0.4. O Ho is rejected. There is insufficient evidence to indicate that p is less than 0.4.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![A random sample of \( n = 1,000 \) observations from a binomial population contained 381 successes. You wish to show that \( p < 0.4 \).
**State the null and alternative hypothesis.**
- \( H_0: p = 0.4 \) versus \( H_a: p > 0.4 \)
- \( H_0: p < 0.4 \) versus \( H_a: p > 0.4 \)
- \( H_0: p = 0.4 \) versus \( H_a: p \neq 0.4 \)
- \( H_0: p = 0.4 \) versus \( H_a: p < 0.4 \)
- \( H_0: p \neq 0.4 \) versus \( H_a: p = 0.4 \)
**Calculate the appropriate test statistic. (Round your answer to two decimal places.)**
\[ z = \]
**Provide an \( \alpha = 0.05 \) rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)**
\[ z \geq \]
\[ z < \]
**State your conclusion.**
- \( H_0 \) is not rejected. There is insufficient evidence to indicate that \( p \) is less than 0.4.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate that \( p \) is less than 0.4.
- \( H_0 \) is rejected. There is sufficient evidence to indicate that \( p \) is less than 0.4.
- \( H_0 \) is rejected. There is insufficient evidence to indicate that \( p \) is less than 0.4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9175f245-2e1a-4def-805b-da74e3897838%2F422293c1-19fe-4a0c-bd27-0bfec5103a91%2Fz3vzrki_processed.png&w=3840&q=75)
Transcribed Image Text:A random sample of \( n = 1,000 \) observations from a binomial population contained 381 successes. You wish to show that \( p < 0.4 \).
**State the null and alternative hypothesis.**
- \( H_0: p = 0.4 \) versus \( H_a: p > 0.4 \)
- \( H_0: p < 0.4 \) versus \( H_a: p > 0.4 \)
- \( H_0: p = 0.4 \) versus \( H_a: p \neq 0.4 \)
- \( H_0: p = 0.4 \) versus \( H_a: p < 0.4 \)
- \( H_0: p \neq 0.4 \) versus \( H_a: p = 0.4 \)
**Calculate the appropriate test statistic. (Round your answer to two decimal places.)**
\[ z = \]
**Provide an \( \alpha = 0.05 \) rejection region. (Round your answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.)**
\[ z \geq \]
\[ z < \]
**State your conclusion.**
- \( H_0 \) is not rejected. There is insufficient evidence to indicate that \( p \) is less than 0.4.
- \( H_0 \) is not rejected. There is sufficient evidence to indicate that \( p \) is less than 0.4.
- \( H_0 \) is rejected. There is sufficient evidence to indicate that \( p \) is less than 0.4.
- \( H_0 \) is rejected. There is insufficient evidence to indicate that \( p \) is less than 0.4.
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