1. This questioninvolves calculating a 95% confidence interval. Show the "E" setup and calculations

High school students take the AP tests in different subject areas.This year 150 students took the algebra exam of which 85 were female.And, 220 students took the geometry exam of which 100 were female.Calculate the difference in the PROPORTION of female students taking the algebra exam verses female students taking the geometry exam using a 95% confidence level.

2. Proportion Problemthat involves a hypothesis test at the 1% significance level.SHOW Z-Test SETUPAND Z-Critical value the z-Test was compared to.Also, use software to calculate the p-Value.Do both support the same conclusion?

Are more children diagnosed with Autism Spectrum Disorder in States that have urban areas over States that are mostly rural?In an urban State there were are 3003^rd grade students diagnosed with ASD out of 18,500 3^rd graders tested.In a rural state, there were 553^rd grade students diagnosed with ASD out of 2,3003^rd graders tested.Is there enough evidence to show that the proportion of children diagnosed with ASD in an urban State is more than the proportion in a rural State?Test at the = 1% level.

3. Is there a significant difference between these TWO population means regarding median incomes?Make sure to show your setup for the t-Test, df and how you found the t-Critical.Also, use software to find the p-value (probability) is it larger or smaller than ?Does this conclusion match the one based on the t-Test verses t-Critical?(It must).For the p-value, make sure you know which area (right or left) you need to use (greater than or less than).(If NOConfidence Level or is provided assume 95% and 5%, respectively)

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