ribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). st of p=0.9 vs p*0.9 ample X N 2,082 1836 Sample p 0.881844 95% CI Z-Value P-Value 0.006 (0.867979,0.895710) -2.76 a. Is the test two-tailed, left-tailed, or right-tailed? O Left-tailed test O Two-tailed test O Right tailed test b. What is the test statistic? The test statistic is D
ribution as an approximation to the binomial distribution, and assume a 0.05 significance level to complete parts (a) through (e). st of p=0.9 vs p*0.9 ample X N 2,082 1836 Sample p 0.881844 95% CI Z-Value P-Value 0.006 (0.867979,0.895710) -2.76 a. Is the test two-tailed, left-tailed, or right-tailed? O Left-tailed test O Two-tailed test O Right tailed test b. What is the test statistic? The test statistic is D
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
I need the test statistic also along with the p value, null hypothesis
![**Title: Statistical Analysis of Cell Phone Ownership**
**Introduction:**
A survey was conducted on 2,082 randomly selected adults to investigate cell phone ownership. The study found that 88% of them own cell phones. The following analysis tests the claim that 90% of adults own cell phones, using a significance level of 0.05.
**Statistical Test:**
- **Hypothesis:** Test of \( p = 0.9 \) vs \( p \neq 0.9 \)
- **Sample Details:**
- **Sample X (Number of Successes):** 1,836
- **Sample N (Total Sample Size):** 2,082
- **Sample p (Sample Proportion):** 0.881844
- **Confidence Interval (CI):** 95% CI for the population proportion is (0.867979, 0.895710).
- **Z-Value:** -2.76
- **P-Value:** 0.006
**Questions:**
a. **Is the test two-tailed, left-tailed, or right-tailed?**
- Options:
- Left-tailed test
- Two-tailed test
- Right-tailed test
b. **What is the test statistic?**
**Analysis Description:**
The analysis utilizes a normal distribution approximation to the binomial distribution. A Z-test was applied to compare the sample proportion with the claimed proportion. The p-value indicates the probability of observing the given results if the null hypothesis were true.
**Conclusion:**
Based on the provided p-value of 0.006, the null hypothesis can be rejected at the 0.05 significance level, suggesting that the proportion of adults who own cell phones is significantly different from 90%. The test employed was likely two-tailed, given the set hypothesis setup.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c582252-6541-4096-9706-b4f3b52fcf1c%2F50259dd7-f6eb-4a3f-9779-d9f0b173bce1%2Fbuqc725_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Title: Statistical Analysis of Cell Phone Ownership**
**Introduction:**
A survey was conducted on 2,082 randomly selected adults to investigate cell phone ownership. The study found that 88% of them own cell phones. The following analysis tests the claim that 90% of adults own cell phones, using a significance level of 0.05.
**Statistical Test:**
- **Hypothesis:** Test of \( p = 0.9 \) vs \( p \neq 0.9 \)
- **Sample Details:**
- **Sample X (Number of Successes):** 1,836
- **Sample N (Total Sample Size):** 2,082
- **Sample p (Sample Proportion):** 0.881844
- **Confidence Interval (CI):** 95% CI for the population proportion is (0.867979, 0.895710).
- **Z-Value:** -2.76
- **P-Value:** 0.006
**Questions:**
a. **Is the test two-tailed, left-tailed, or right-tailed?**
- Options:
- Left-tailed test
- Two-tailed test
- Right-tailed test
b. **What is the test statistic?**
**Analysis Description:**
The analysis utilizes a normal distribution approximation to the binomial distribution. A Z-test was applied to compare the sample proportion with the claimed proportion. The p-value indicates the probability of observing the given results if the null hypothesis were true.
**Conclusion:**
Based on the provided p-value of 0.006, the null hypothesis can be rejected at the 0.05 significance level, suggesting that the proportion of adults who own cell phones is significantly different from 90%. The test employed was likely two-tailed, given the set hypothesis setup.
![**Question: Statistical Hypothesis Testing**
Choose the correct answer below:
**A.** Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
**B.** Reject the null hypothesis because the P-value is greater than the significance level, α.
**C.** Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
**D.** Reject the null hypothesis because the P-value is less than or equal to the significance level, α.
**e.** What is the final conclusion?
---
The screen displays a multiple-choice question related to statistical hypothesis testing with four options. The question focuses on how to interpret the P-value in relation to a given significance level, α. There are no graphs or diagrams present, just text for a quiz or educational exercise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c582252-6541-4096-9706-b4f3b52fcf1c%2F50259dd7-f6eb-4a3f-9779-d9f0b173bce1%2Fzrdewn3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question: Statistical Hypothesis Testing**
Choose the correct answer below:
**A.** Fail to reject the null hypothesis because the P-value is greater than the significance level, α.
**B.** Reject the null hypothesis because the P-value is greater than the significance level, α.
**C.** Fail to reject the null hypothesis because the P-value is less than or equal to the significance level, α.
**D.** Reject the null hypothesis because the P-value is less than or equal to the significance level, α.
**e.** What is the final conclusion?
---
The screen displays a multiple-choice question related to statistical hypothesis testing with four options. The question focuses on how to interpret the P-value in relation to a given significance level, α. There are no graphs or diagrams present, just text for a quiz or educational exercise.
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