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. UseTable 1.

Letp₁represent the population proportion of girls andp₂the 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 at least 4 decimal places. Round your answers to 2 decimal places.)

b.Select the appropriate null and alternative hypotheses to test whether the proportion of girls who score at proficient or advanced levels differs from the proportion of boys.

a. H₀:p₁p₂= 0;H_A:p₁p₂ 0

b. H₀:p₁p₂ 0;H_A:p₁p₂> 0

c. H₀:p₁p₂ 0;H_A:p₁p₂< 0

c.At the 5% significance level, what is the conclusion to the test? Do the results support the study's claim?

a. RejectH₀; the study's claim is supported by the sample data.

b. RejectH₀; the study's claim is not supported by the sample data.

c. Do not rejectH₀; the study's claim is supported by the sample data.

d. Do not rejectH₀; the study's claim is not supported by the sample data.