MATH 225N Week 7 Assignment; Developing Hypothesis and Understanding Possible Conclusions for Proportions

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Term	Summer 2021
Institution	MATH 225N Statistical Reasoning for the Health Sciences
Contributor	Patricia

Description

Question: A hospital administrator claims that the proportion of knee surgeries that are successful is 87%. To test this claim, a random sample of 450 patients who underwent knee surgery is taken and it is determined that 371of these patients had a successful knee surgery operation.
Question: A local cable company claims that the proportion of people who have Internet access is less than 63%. To test this claim, a random sample of 800 people is taken and its determined that 454 people have Internet access.
Question: An airline company claims in a recent advertisement that more than 94% of passenger luggage that it lost is recovered and reunited with the customer within 1 day. Hunter is a graduate student studying statistics. For a research project, Hunter wants to find out

whether there is convincing evidence in support of the airline company's claim. He randomly selects 315 passengers of the airline whose luggage was lost by the airline and found that 276 of those passengers were reunited with their luggage within 1day.

Are all of the conditions for this hypothesis test met, and if so, what are the nulland alternative hypotheses for this hypo thesis test?

Question: Devin is a researcher for a pharmaceutical company testing whether a new prescription pain medication causes patients to develop nausea. The medication would have to be scrapped if more than 6% of patients who take the medication develop nausea on a regular basis. Devin randomly selected 461 patients for a clinical trial of the medication and found that 27 of the patients developed nausea on a regular basis. What are the null and alternative hypotheses for this hypothesis test?
Question: A researcher claims that the proportion of college students who plan to participate in community service after graduation is greater than 35%. To test this claim, a survey asked 500randomly selected college students if they planned to perform community service after graduation. Of those students, 195 indicated they planned to perform community service.
Question: A college professor claims that the proportion of students passing a statistics course is 80%. To test this claim, a random sample of 250 students who previously took the course is taken and it is determined that 221 students passed the course.
Question: A politician recently made the claim that 47%of taxpayers from a certain region do not

pay any income taxes. Makayla is a journalist for an online media company and is testing the politician's claim for an op-ed. She randomly selects 159 .pay any income taxes.

What are the null and alternative hypotheses for this hypothesis test?

Question: Colin is a student in a statistics course looking to show whether the proportion of games played that are won by the visiting team in a certain professional lacrosse league is 50%. Colin randomly selects 83 games from the past few seasons and finds that 37of the games were won by the visiting team. What are the null and alternative hypotheses for this hypothesis test?