MATH 225N Week 7 Assignment- Developing Hypothesis and understanding Possible Conclusion for Proportions (2020) complete solutions -
... [Show More] Chamberlain.
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 ≠ 0.80Find 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?
QuestionJordan 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
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