1. TEST FOR SINGLE PROPORTION. DO SUPPORT CLASSES WORK? THE PROPORTION OF SOUTHWESTERN COLLEGE STUDENTS WHO FINISH THEIR TRANSFER LEVEL MATH REQUIREMENT IN ONE YEAR OR LESS IS 30%. IN A STUDY WHERE 400 SOUTHWESTERN COLLEGE STUDENTS WERE GIVEN SUPPORT CLASSES WITH THEIR TRANSFER LEVEL MATH CLASS, IT WAS FOUND THAT 150 OF THEM COMPLETED THEIR TRANSFER LEVEL MATH REQUIREMENT IN ONE YEAR. CAN WE CONCLUDE THAT THE ADDITION OF THESE SUPPORT CLASSES INCREASES THE ABOVE RATE GREATER THAN 30%. SHOW ALL STEPS OF AN HYPOTHESIS TEST. USE A LEVEL OF SIGNIFICANCE OF .05 2. FIND A 95% CONFIDENCE INTERVAL FOR QUESTION #1 AND INTERPRET IT. 3. A RESEARCHER CLAIMS THAT OVER 50% OF DRIVERS AGED 16-30 REGULARLY TEXT OR TALK ON THEIR CELL PHONE AT LEAST 3 TIMES A WEEK. IN A STUDY OF 320 DRIVERS AGED 16-30 IT WAS FOUND THAT 180 OF THEM ADMITTED TO USING THEIR CELL PHONE AT LEAST 3 TIMES A WEEK WHILE DRIVING. USE A SIGNIFICANCE LEVEL OF .05. 4. Determined Dean. The usual dropout rate in the freshman class at Clown College is 48%. A new dean of admissions claims that recent policies have lowered the dropout rate, because in this year?s class of 600 freshmen only 260 dropped out. Conduct a hypothesis test to determine if there is evidence the dropout rate has lowered. USE A SIGNIFICANCE LEVEL OF .05. 5. Browsing on the mobile device. A 2012 survey of 2,254 American adults indicates that 17% of cell phone owners do their browsing on their phone rather than a computer or other device.1 According to an online article, a report from a mobile research company indicates that 38 percent of Chinese mobile web users only access the internet through their cell phones.2 Conduct a hypothesis test to determine if this data provides strong evidence that the proportion of Americans who only use their cell phones to access the internet is di?erent than the Chinese proportion of 38%.
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