Question
In: Statistics and Probability
The university would like to conduct a study to estimate the true proportion of all university...
The university would like to conduct a study to estimate the true proportion of all university students who have student loans. According to the study, in a random sample of 215 university students, 86 have student loans. (a) Construct a 99% confidence interval for estimating the true proportion of all university students who have student loans (b) Provide an interpretation of the confidence interval in part (a). (1mark) (c) Conduct an appropriate hypothesis test, at the 1% level of significance to test the claim that more than 30% of all university students have student loans. Provide the hypothesis statement Calculate the test statistic value Determine the probability value
Solutions
Expert Solution
(a) Construct a 99% confidence interval for estimating the true proportion of all university students who have student loans (2 marks)
(b) Provide an interpretation of the confidence interval
in part (a). (1mark)
We are 95% confident that the true proportion of the population of
the students who have taken the loan is (0.314, 0.486)
(c) Conduct an appropriate hypothesis test, at the 1% level
of significance to test the claim that more than 30% of all
university students have student loans. Provide the hypothesis
statement (1 Marks) Calculate the test statistic value (2 Marks)
Determine the probability value (1 Marks)
Hence we can conclude that there is sufficient evidence that more than 30% of all university students have student loans
orchestra answered 2 years agoRelated Solutions
The university would like to conduct a study to estimate the true proportion of all university...
The university would like to conduct a study to estimate the
true proportion of all university students who have student loans.
According to the study, in a random sample of 215 university
students, 86 have student loans. (a) Construct a 95% confidence
interval for estimating the true proportion of all university
students who have student loans (b) Provide an
interpretation of the confidence interval in part (a). (1mark) (c)
Conduct an appropriate hypothesis test, at the 5% level of
significance...
The university would like to conduct a study to estimate the true proportion of all university...
The university would like to conduct a study to
estimate the true proportion of all university students who have
student loans. According to the study, in a random sample of 215
university students, 86 have student loans.
(a) Construct a 99% confidence interval for
estimating the true proportion of all university students who have
student loans (2 marks)
(b) Provide an interpretation
of the confidence interval in part (a).
(1mark)
(c) Conduct an appropriate
hypothesis test, at the 1% level...
The university would like to conduct a study to estimate the true proportion of all university...
The university would like to conduct a study to estimate the
true proportion of all university students who have student loans.
According to the study, in a random sample of 215 university
students, 86 have student loans. (a) Construct a 95% confidence
interval for estimating the true proportion of all university
students who have student loans (b) Provide an
interpretation of the confidence interval in part (a). (1mark) (c)
Conduct an appropriate hypothesis test, at the 5% level of
significance...
the university would like to conduct a study to estimate the true proportion of all university...
the university would like to conduct a study to estimate
the true proportion of all university students who have student
loans. According to the study, in a random sample of 215 university
students, 86 have student loans.
(a) Construct a 95% confidence interval for estimating
the true proportion of all university students who have student
loans
(b) Provide an interpretation of the confidence interval
in part (a).
(c) Conduct an appropriate hypothesis
test, at the 5% level of significance to...
The university would like to conduct a study to estimate the true proportion of all university...
The university would like to conduct a study to estimate
the true proportion of all university students who have student
loans. According to the study, in a random sample of 215 university
students, 86 have student loans.
(a) Construct a 95% confidence interval for estimating
the true proportion of all university students who have student
loans (2 marks)
(b) Provide an interpretation of the confidence interval
in part (a). (1mark)
(c) Conduct an appropriate hypothesis
test, at the 5% level...
The university would like to conduct a study to estimate the true proportion of all university...
The university would like to conduct a study to
estimate the true proportion of all university students who have
student loans. According to the study, in a random sample of 217
university students, 88 have student loans.
(a) Construct a 99% confidence interval for
estimating the true proportion of all university students who have
student loans
(b) Provide an interpretation
of the confidence interval in part (a).
(c) Conduct an appropriate
hypothesis test, at the 1% level of significance to...
The university would like to conduct a study to estimate the true proportion of all university...
The university would like to conduct a study to estimate the
true proportion of all university students who have student loans.
According to the study, in a random sample of 215 university
students, 86 have student loans.
(a) Construct a 95% confidence interval for estimating the true
proportion of all university students who have student loans
(b) Provide an interpretation of the confidence interval in part
(a). (1mark)
(c) Conduct an appropriate hypothesis test, at the 5% level of
significance...
A university would like to estimate the proportion of fans who purchase concessions at the first...
A university would like to estimate the proportion of fans who
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The basketball facility has a capacity of 3500 and is routinely
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A university would like to estimate the proportion of fans who purchase concessions at the first...
A university would like to estimate the proportion of fans who
purchase concessions at the first basketball game of the season.
The basketball facility has a capacity of 3,500 and is routinely
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Construct a 95% confidence interval to estimate the proportion of
fans who purchased concessions during the game.
The 95% confidence interval to estimate the proportion...
A university would like to estimate the proportion of fans who purchase concessions at the first...
A university would like to estimate the proportion of fans who
purchase concessions at the first basketball game of the season.
The basketball facility has a capacity of 3,500 and is routinely
sold out. It was discovered that a total of 230 fans out of a
random sample of 500 purchased concessions during the game.
Construct a 95% confidence interval to estimate the proportion of
fans who purchased concessions during the game.
The 95% confidence interval to estimate the proportion...
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