Hom sample of 828 births orn babies are boys. Do th
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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Question
![A random sample of 828 births included 427 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies are boys. Do the results support the belief that 51.5% of newborn babies are boys?
**Hypotheses:**
- \( H_0: p = 0.515 \)
- \( H_1: p \neq 0.515 \)
**Identify the test statistic for this hypothesis test:**
The test statistic for this hypothesis test is **0.04**. (Round to two decimal places as needed.)
**Identify the P-value for this hypothesis test:**
The P-value for this hypothesis test is [blank]. (Round to three decimal places as needed.)
---
This scenario involves conducting a hypothesis test to determine if the proportion of newborn boys is statistically different from 51.5%. The test statistic is given as 0.04, suggesting that the observed sample proportion is very close to the hypothesized proportion. The P-value still needs to be calculated to make a conclusion about the hypothesis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc3b13e72-bc39-40fa-b794-559d1be8a70e%2Fd168da1e-1ac7-4c21-b24a-a81fea4185d5%2Fxg7ddsd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A random sample of 828 births included 427 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies are boys. Do the results support the belief that 51.5% of newborn babies are boys?
**Hypotheses:**
- \( H_0: p = 0.515 \)
- \( H_1: p \neq 0.515 \)
**Identify the test statistic for this hypothesis test:**
The test statistic for this hypothesis test is **0.04**. (Round to two decimal places as needed.)
**Identify the P-value for this hypothesis test:**
The P-value for this hypothesis test is [blank]. (Round to three decimal places as needed.)
---
This scenario involves conducting a hypothesis test to determine if the proportion of newborn boys is statistically different from 51.5%. The test statistic is given as 0.04, suggesting that the observed sample proportion is very close to the hypothesized proportion. The P-value still needs to be calculated to make a conclusion about the hypothesis.
Expert Solution
Step 1
Given,
sample size (n) = 828
x = 427
true proportion (p) = 0.515
significance level (α) = 0.10
The null and alternative hypothesis
Ho: p = 0.515
Ha : p ≠ 0.515
Step by step
Solved in 2 steps with 1 images
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