MATH 225 EXAM
(CHAMBERLAIN UNIV)
QNS & ANS
VERSION 1
2023/2024
, 1. A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33
minutes. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the
parameter μ H0: μ=33; Ha: μ≠33
2. Find the Type II error given that the null hypothesis, H0, is: a building inspector claims that no more
than 15% of structures in the county were built without permits. The building inspector thinks that
no more than 15% of the structures in the county were built without permits when, in fact, more
than 15% of the structures were built without permits
3. . A recent study suggested that 81% of senior citizens take at least one prescription medication.
Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for
senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who
were treated at the hospital and finds that 49 of them take at least one prescription medication. What
are the null and alternative hypotheses for this hypothesis test? {H0:p=0.81Ha:p<0.81
4. Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky
was bored because she had already mastered the test, so she decided to see if the coin she had in her
pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped
the coin 30 times and got heads 18 times. Becky conducts a one-proportion hypothesis test at the 5%
significance level, to test whether the true proportion of heads is different from 50%. Which answer
choice shows the correct null and alternative hypotheses for this test? H0:p=0.5; Ha:p≠0.5, which is
a two-tailed test
5. Data is collected on the relationship between time spent playing video games and time spent with
family. The data is shown in the table and the line of best fit for the data is y^=−0.27x+57.5.
Assume the line of best fit is significant and there is a strong linear relationship between the
variables. Video Games (Minutes) 306090120 Time with Family (Minutes) 50403525 According to
(CHAMBERLAIN UNIV)
QNS & ANS
VERSION 1
2023/2024
, 1. A fitness center claims that the mean amount of time that a person spends at the gym per visit is 33
minutes. Identify the null hypothesis, H0, and the alternative hypothesis, Ha, in terms of the
parameter μ H0: μ=33; Ha: μ≠33
2. Find the Type II error given that the null hypothesis, H0, is: a building inspector claims that no more
than 15% of structures in the county were built without permits. The building inspector thinks that
no more than 15% of the structures in the county were built without permits when, in fact, more
than 15% of the structures were built without permits
3. . A recent study suggested that 81% of senior citizens take at least one prescription medication.
Amelia is a nurse at a large hospital who would like to know whether the percentage is the same for
senior citizen patients who go to her hospital. She randomly selects 59 senior citizens patients who
were treated at the hospital and finds that 49 of them take at least one prescription medication. What
are the null and alternative hypotheses for this hypothesis test? {H0:p=0.81Ha:p<0.81
4. Becky's statistics teacher was teaching the class how to perform the z-test for a proportion. Becky
was bored because she had already mastered the test, so she decided to see if the coin she had in her
pocket would come up heads or tails in a truly random fashion when flipped. She discretely flipped
the coin 30 times and got heads 18 times. Becky conducts a one-proportion hypothesis test at the 5%
significance level, to test whether the true proportion of heads is different from 50%. Which answer
choice shows the correct null and alternative hypotheses for this test? H0:p=0.5; Ha:p≠0.5, which is
a two-tailed test
5. Data is collected on the relationship between time spent playing video games and time spent with
family. The data is shown in the table and the line of best fit for the data is y^=−0.27x+57.5.
Assume the line of best fit is significant and there is a strong linear relationship between the
variables. Video Games (Minutes) 306090120 Time with Family (Minutes) 50403525 According to
