A recent study claims that girls and boys do not do equally well on math tests t

Question

A recent study claims that girls and boys do not do equally well on math tests taken from the 2nd to 11th grades (Chicago Tribune, July 25, 2008). Suppose in a representative sample, 344 of 430 girls and 369 of 450 boys score at proficient or advanced levels on a standardized math test. Use Table 1. Let p_1 represent the population proportion of girls and p_2 the population proportion of boys. a. Construct the 95% confidence interval for the difference between the population proportions of girls and boys. who score at proficient or advanced levels. (Negative values should be indicated by a minus sign. Round intermediate calculations to an least 4 decimal places. Round your answer to 2 decimal places.) Confidence interval is % to %. b. Select the appropriate null and alternative hypotheses to test whether the proportion of girl's who score at proficient or advanced levels differs from the proportion of boys. H_0: p_1 - p_2 = 0: H_A = p_1 - p_2 notequalto 0 H_0: p_1 - p_2 lessthanorequalto 0: H_A: p_1 - p_2 > 0 H_0: p_1 - p_2 lessthanorequalto 0: p_1 > p_2

Explanation / Answer

The statistical software output for this problem is:

Two sample proportion summary confidence interval:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions

95% confidence interval results:

Hence,

95% confidence interval will be:

-7.19% to 3.19%

Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1 - p2 344 430 369 450 -0.02 0.026459271 -0.071859218 0.031859218

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.