MATH 225N Week 7 Assignment- Developing Hypothesis and understanding Possible Conclusion 2022-2023

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 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. The following is the setup for this hypothesis test: H0:p = 0.80 Ha:p ≠ 0.80 Find the test statistic for this hypothesis test for a proportion and round your answer to 2 decimal places. Question Charlotte is a high school student who read an article that stated only 46% of teens ages 16 to 18 have a driver's license. She claims that the percentage is greater for the students at her school. Charlotte randomly selects 126 students ages 16 to 18 at her school and surveyed whether they have a driver's license. She discovered that 67 of those surveyed had a driver's license. What are the null and alternative hypotheses for this hypothesis test? 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. The following is the setup for this hypothesis test: {H0:p=0.63Ha:p<0.63 Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.