MATH 225N Week 7 Hypothesis Testing Q & AWeek 7 Hypothesis Testing Q & A
• Question: Steve listens to his favorite streaming music service when he works out. He
wonders whether the service algorithm does a good job of finding random songs that
he will like more often than not. To test this, he listens to 50 songs chosen by the
service at random and finds that he likes 32 of them.
• Question: A magazine regularly tested products and gave the reviews to its customers.
In one of its reviews, it tested 2 types of batteries and claimed that the batteries from
company A outperformed batteries from company B in 108 of the tests. There were
200 tests. Company B decided to sue the magazine, claiming that the results were not
significantly different from 50% and that the magazine was slandering its good name.
• Question: A candidate in an election lost by 5.8% of the vote. The candidate sued the
state and said that more than 5.8% of the ballots were defective and not counted by
the voting machine, so a full recount would need to be done. His opponent wanted to
ask for the case to be dismissed, so she had a government official from the state
randomly select 500 ballots and count how many were defective. The official found 21
defective ballots.
• Question: A researcher claims that the incidence of a certain type of cancer is < 5%. To
test this claim, a random sample of 4000 people are checked and 170 are found to
have the cancer.
• Question: A researcher is investigating a government claim that the unemployment
rate is < 5%. TO test this claim, a random sample of 1500 people is taken and it is
determined that 61 people were unemployed.
• Question: An economist claims that the proportion of people that plan to purchase a
fully electric vehicle as their next car is greater than 65%.
• Question: Colton makes the claim to his classmates that < 50% of newborn babies
born this year in his state are boys. To prove this claim, he selects a random sample of
344 birth records in his state from this year. Colton found that 176 of the newborns
were boys. What are the null and alternative hypothesis for this hypothesis test.
• Question: An Airline company claims that in its recent advertisement that at least 94%
of passenger luggage that is lost is recovered and reunited with their customer within
1 day. Hunter is a graduate student studying statistics. For a research project, Hunter
wants to find out whether there is sufficient evidence in support of the airline
company’s claim. He randomly selects 315 passengers whose luggage was lost by the
airlines and found out that 276 of those passengers were reunited with their luggage
within 1 day. Are all of the conditions for his hypotheses test met, and if so, what are
the Ho and Ha for this hypothesis test?
• Question: A college administrator claims that the proportion of students who are
nursing majors is > 40%. To test this claim, a group of 400 students are randomly
selected and its determined that 190 are nursing majors. The following is the set up
for the hypothesis test: Ho: p = .40 and Ha: p = >.40
• Question: A hospital administrator claims that the proportion of knee surgeries that
are successful are 87%. To test this claim, a random sample of 450 patients who
underwent knee surgery is taken and it is determined that 371 patients had a
successful knee surgery operation. Ho: p = 0.87 Ha: p ≠
• Question: Jose, a competitor in cup stacking, has a sample stacking time mean of 7.5
seconds from 13 trials. Jose still claims that his average stacking time is 8.5 seconds,
, and the low average can be contributed to chance. At the 2% significant level, does
the data provide sufficient evidence to conclude that Jose’s mean stacking time is less
than 8.5 seconds? Given the sample data below, select or reject the
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c07a:l2l2y:0r2eGjMecTt-0t5h:0e0 hypothesis)
• Question: Marty, a typist, claims his average typing speed is 72 wpm. During a practice
session, Marty has a sample typing speed mean of 84 wpm based on 12 trials. At the
5% significance level, does the data provide sufficient evidence to conclude that his
mean typing speed is >72 wpm? Accept or reject the hypothesis given the data below.
• Question: What is the p-value of a two-tailed one mean hypothesis test, with a test
statistic of Zo = 0.27? (Do not round your answer. Compute your answer using a value
from the table. (Value in table was 0.606)
• Question: Raymond, a typist, claims his average typing speed is 89 wmp. During a
practice session, Raymond has a sample typing speed mean of 95.5 wmp based on 15
trials. At the 1% significance level, does the data provide sufficient evidence to
conclude that his mean typing speed is > 89 wmp? Accept or reject the hypothesis
given the sample data below:
• Question: Kurtis is a statistician who claims that the average salary of an employee in
the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes
this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and
record their annual salary. Gina calculates the sample mean income to be $56.500 per
year with a sample standard deviation of $3750. Using the
alternative hypothesis, Ha = μ=¿ $ 55,000 , find the test statistic τ and the
p-value for the
appropriate hypothesis test. Round the τ to 2 decimal places and the p-value to 3
decimal places.
• Question: A college administrator claims that the proportion of students that are
nursing majors is less than 40%. To test this claim, a group of 400 students are
randomly selected and its determined that 149 are nursing majors.
• Question: A researcher claims that the incidence of a certain type of cancer is less
than 5%. To test this claim, the a random sample of 4000 people are checked and 170
are determined to have the cancer.
• Question: A police office claims that the proportion of people wearing seat belts is
less than 65%. To test this claim, a random sample of 200 drivers is taken and its
determined that 126 people are wearing seat belts.
• 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.
• Question: A teacher claims that the proportion of students expected to pass an
exam is greater than 80%. To test this claim, the teacher administers the test to 200
random students and determines that 151 students pass the exam.
• Question: A researcher claims that the proportion of smokers in a certain city is less
• Question: Steve listens to his favorite streaming music service when he works out. He
wonders whether the service algorithm does a good job of finding random songs that
he will like more often than not. To test this, he listens to 50 songs chosen by the
service at random and finds that he likes 32 of them.
• Question: A magazine regularly tested products and gave the reviews to its customers.
In one of its reviews, it tested 2 types of batteries and claimed that the batteries from
company A outperformed batteries from company B in 108 of the tests. There were
200 tests. Company B decided to sue the magazine, claiming that the results were not
significantly different from 50% and that the magazine was slandering its good name.
• Question: A candidate in an election lost by 5.8% of the vote. The candidate sued the
state and said that more than 5.8% of the ballots were defective and not counted by
the voting machine, so a full recount would need to be done. His opponent wanted to
ask for the case to be dismissed, so she had a government official from the state
randomly select 500 ballots and count how many were defective. The official found 21
defective ballots.
• Question: A researcher claims that the incidence of a certain type of cancer is < 5%. To
test this claim, a random sample of 4000 people are checked and 170 are found to
have the cancer.
• Question: A researcher is investigating a government claim that the unemployment
rate is < 5%. TO test this claim, a random sample of 1500 people is taken and it is
determined that 61 people were unemployed.
• Question: An economist claims that the proportion of people that plan to purchase a
fully electric vehicle as their next car is greater than 65%.
• Question: Colton makes the claim to his classmates that < 50% of newborn babies
born this year in his state are boys. To prove this claim, he selects a random sample of
344 birth records in his state from this year. Colton found that 176 of the newborns
were boys. What are the null and alternative hypothesis for this hypothesis test.
• Question: An Airline company claims that in its recent advertisement that at least 94%
of passenger luggage that is lost is recovered and reunited with their customer within
1 day. Hunter is a graduate student studying statistics. For a research project, Hunter
wants to find out whether there is sufficient evidence in support of the airline
company’s claim. He randomly selects 315 passengers whose luggage was lost by the
airlines and found out that 276 of those passengers were reunited with their luggage
within 1 day. Are all of the conditions for his hypotheses test met, and if so, what are
the Ho and Ha for this hypothesis test?
• Question: A college administrator claims that the proportion of students who are
nursing majors is > 40%. To test this claim, a group of 400 students are randomly
selected and its determined that 190 are nursing majors. The following is the set up
for the hypothesis test: Ho: p = .40 and Ha: p = >.40
• Question: A hospital administrator claims that the proportion of knee surgeries that
are successful are 87%. To test this claim, a random sample of 450 patients who
underwent knee surgery is taken and it is determined that 371 patients had a
successful knee surgery operation. Ho: p = 0.87 Ha: p ≠
• Question: Jose, a competitor in cup stacking, has a sample stacking time mean of 7.5
seconds from 13 trials. Jose still claims that his average stacking time is 8.5 seconds,
, and the low average can be contributed to chance. At the 2% significant level, does
the data provide sufficient evidence to conclude that Jose’s mean stacking time is less
than 8.5 seconds? Given the sample data below, select or reject the
This shtuydypsooutrhceewsaiss
.do(wInflopa=devdablyu1e00i0s00<85a2l6p8h10a95vfarolmueC,ouwrseeHweroo.cuomldona0u9t-o17m-20a2ti2
c07a:l2l2y:0r2eGjMecTt-0t5h:0e0 hypothesis)
• Question: Marty, a typist, claims his average typing speed is 72 wpm. During a practice
session, Marty has a sample typing speed mean of 84 wpm based on 12 trials. At the
5% significance level, does the data provide sufficient evidence to conclude that his
mean typing speed is >72 wpm? Accept or reject the hypothesis given the data below.
• Question: What is the p-value of a two-tailed one mean hypothesis test, with a test
statistic of Zo = 0.27? (Do not round your answer. Compute your answer using a value
from the table. (Value in table was 0.606)
• Question: Raymond, a typist, claims his average typing speed is 89 wmp. During a
practice session, Raymond has a sample typing speed mean of 95.5 wmp based on 15
trials. At the 1% significance level, does the data provide sufficient evidence to
conclude that his mean typing speed is > 89 wmp? Accept or reject the hypothesis
given the sample data below:
• Question: Kurtis is a statistician who claims that the average salary of an employee in
the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes
this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and
record their annual salary. Gina calculates the sample mean income to be $56.500 per
year with a sample standard deviation of $3750. Using the
alternative hypothesis, Ha = μ=¿ $ 55,000 , find the test statistic τ and the
p-value for the
appropriate hypothesis test. Round the τ to 2 decimal places and the p-value to 3
decimal places.
• Question: A college administrator claims that the proportion of students that are
nursing majors is less than 40%. To test this claim, a group of 400 students are
randomly selected and its determined that 149 are nursing majors.
• Question: A researcher claims that the incidence of a certain type of cancer is less
than 5%. To test this claim, the a random sample of 4000 people are checked and 170
are determined to have the cancer.
• Question: A police office claims that the proportion of people wearing seat belts is
less than 65%. To test this claim, a random sample of 200 drivers is taken and its
determined that 126 people are wearing seat belts.
• 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.
• Question: A teacher claims that the proportion of students expected to pass an
exam is greater than 80%. To test this claim, the teacher administers the test to 200
random students and determines that 151 students pass the exam.
• Question: A researcher claims that the proportion of smokers in a certain city is less
