### Statistical Hypothesis Testing: Comparing Proportions**Problem Statement:**Refer to the figure on the right. At a significance level of α = 0.05, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes in 2000 was the same for men and women? Assume the survey included a random sample of 264 men and 256 women.**Graph Description:**The graph displays the percentage of 18 to 24-year-olds living in parents' homes for the years 2000 and 2012, divided by gender.- **2000:** - Men: 61.4% - Women: 38.9%- **2012:** - Men: 56.1% - Women: 39.8%**Steps of Hypothesis Testing:**1. **Identify the Null and Alternative Hypotheses:** Choose the correct answer below. - A. H₀: p₁ ≠ p₂, Hₐ: p₁ ≠ p₂ - B. H₀: p₁ > p₂, Hₐ: p₁ ≤ p₂ - C. H₀: p₁ < p₂, Hₐ: p₁ > p₂ - D. H₀: p₁ = p₂, Hₐ: p₁ ≠ p₂2. **Find the Critical Value(s):** - The critical value(s) is/are __________. - (Round to two decimal places as needed. Use a comma to separate answers as needed.)3. **Find the Standardized Test Statistic:** - z = __________ - (Round to two decimal places as needed.)4. **Conclusion:** Can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes was the same for men and women in 2000? - Select the correct response: - Yes / No - At the 5% significance level, there is: - insufficient / sufficient - evidence to: - support / reject - the claim.Complete the calculations and fill in the blanks to reach a conclusion regarding the hypothesis.

Name: ### Statistical Hypothesis Testing: Comparing Proportions**Problem St
Uploaded: 2024-03-20T07:06:41.000Z
Channel: Bartleby
Description: ### Statistical Hypothesis Testing: Comparing Proportions**Problem Statement:**Refer to the figure on the right. At a significance level of α = 0.05, can you reject the claim that the proportion of 18 to 24-year-olds living in their parents' homes i