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.
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 37 of the games were won by the visiting team. What are the null and alternative hypotheses for this hypothesis test?
Question: A former residential complex was found to be a Superfund site polluted with several hazardous materials. Tamela is an investigative journalist who would like to show whether the proportion of the residents of the complex who eventually died from cancer is greater than the regional average of 14%. She randomly selects 54 residents who lived in the complex and finds that 12 of those residents eventually died from cancer. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?
Question: Abigail, who works for a region's department of health, is looking for evidence that the percentage of adults in the region who are current smokers has decreased from 15.8% in 2015. She gathers a random sample of adults in the region and asks each individual if he or she currently smokes. Abigail found that 40 of the 277 adults who were surveyed are current smokers. What are the null and alternative hypotheses for this hypothesis test?
Question: Olivia is a writer for a local travel magazine and is looking into delays of flight departures. She is investigating whether the proportion of departures that are delayed at the local airport is less than the national average of 19.5%. She randomly selects 254 departures that occurred at the airport over a period of several months and found that 46 of the flights were delayed. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?
Question: A human resources representative claims that the proportion of employees earning more than $50,000 is less than 40%. To test this claim, a random sample of 700 employees is taken and 305 employees are determined to earn more than $50,000. The following is the setup for this hypothesis test:
Question: A business owner claims that the proportion of online orders is greater than 75%. To test this claim, the owner checks the next 1000 orders and determines that 700 orders are online orders. The following is the setup for this hypothesis test: H0:p=0.75 Ha:p>0.75 Find the test statistic for this hypothesis test for a proportion and round your answer to 2 decimal places.
Question: Laura flipped a coin 64 times and obtained 28 heads. To determine if these results suggest that the coin is weighted against heads, she performed the following hypothesis test: H0:p=0.5 Ha:p<0.5 α=0.10 Calculate the test statistic for this hypothesis test (round your answer to 2 decimal places)
Question: A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects. The following is the setup for this hypothesis test: {H0:p=0.12Ha:p≠0.12 Find the test statistic for this hypothesis test for a proportion. Round your final answer to 2 decimal places.
Question: A college administrator claims that the proportion of students that are female is greater than 62%. To test this claim, a random sample of 300 students is taken and its determined that 213 students are female. The following is the setup for this hypothesis test: Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.
Question: Caleb is a campaign manager for a governor. He is looking into whether the governor's job approval rating among registered voters has increased from 54% in order to provide him with additional information to prepare for the upcoming election. Caleb randomly selects 424 registered voters in the state to ask them if they approve of the governor's job and finds that 237 of the voters in the sample responded with "Yes." Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?
Question: Tristan is an administrator for a private nonprofit college and read a surprising statistic that 74% of graduates from private nonprofit colleges in the region had at least one outstanding student loan at the time of graduation. He believes that percentage is high and claims that the proportion of graduates at his college is less than the regional rate. Tristan randomly selects 135 graduates from his college and finds that 92 had at least one outstanding student loan at the time of graduation. What are the null and alternative hypotheses for this hypothesis test?
Question: The owners of a supermarket chain are looking into the effectiveness of the supermarket's loyalty card program. Specifically, they would like to know if the percentage of shoppers in their stores who use the loyalty card has changed from 63% in 2014. Chloe works in the marketing department of the chain and is assigned to answer the owners' inquiry. She randomly selects 196 customers from various stores in the chain and finds that 114 use the loyalty card. What are the null and alternative hypotheses for this hypothesis test?
Question: Kylie works for a large nursery and is investigating whether to use a new brand of seeds. The new brand of seeds advertises that 93% of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. She will change over to this new brand unless the actual germination rate is less than what is advertised. Kylie conducts an experiment by randomly selecting 76 seeds of the new brand and plants them. She finds that 70 of those seeds germinated. What are the null and alternative hypotheses for this hypothesis test?
Question: Jordan is the provost of a university and is looking into whether the 6-year graduation rate of freshmen in the class of 2016 at his university has increased from 59% for the class of 2011. He surveys a random sample of 82 students who were freshmen in the class of 2016 and discovered that 51 of those students graduated from the university within 6 years. What are the null and alternative hypotheses for this hypothesis test?
Question: A police officer claims that the proportion of accidents that occur in the daytime (versus nighttime) at a certain intersection is 35%. To test this claim, a random sample of 500 accidents at this intersection was examined from police records it is determined that 156 accidents occurred in the daytime. The following is the setup for this hypothesis test: Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.
Instituition / Term
Term
Fall 2020
Institution
MATH 225N Statistical Reasoning for the Health Sciences
