Hom sample of 828 births orn babies are boys. Do th

MATLAB: An Introduction with Applications
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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.
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

  

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