Part One: Suppose that a device advertised to increase a car's gas mileage works. We test it at a=0.05 significance level on a small fleet of cars (with Ho: The device works), and our data results in a P-value of 0.004. What probably happens as a result of our hypothesis test? a) We fail to reject Ho, committing a Type II error b) We reject Ho, making a Type I error. c) We correctly reject Ho. d) We reject Ho, making a Type II error. e) We correctly fail to reject Ho. Part two: We have calculated a one-proportion z-confidence interval based on a sample of size n = 100. Now at the same confidence level we want to get a less precise estimate with a larger margin of error Our new sample needs to be of size: a) larger than 100 b) Smaller than 100 c) Equal to 100

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17.
Part One:
Suppose that a device advertised to increase a car's gas mileage works. We test it at a=0.05 significance
level on a small fleet of cars (with Ho: The device works), and our data results in a P-value of 0.004. What
probably happens as a result of our hypothesis test?
We fail to reject Ho, committing a Type II error
b) We reject Ho, making a Type I error.
c) We correctly reject Ho.
d) We reject Ho, making a Type II error.
e) We correctly fail to reject Ho.
a)
Part two:
We have calculated a one-proportion z-confidence interval based on a sample of size n = 100. Now at the
same confidence level we want to get a less precise estimate with a larger margin of error Our new sample
needs to be of size:
a) larger than 100
b) Smaller than 100
c) Equal to 100
Transcribed Image Text:17. Part One: Suppose that a device advertised to increase a car's gas mileage works. We test it at a=0.05 significance level on a small fleet of cars (with Ho: The device works), and our data results in a P-value of 0.004. What probably happens as a result of our hypothesis test? We fail to reject Ho, committing a Type II error b) We reject Ho, making a Type I error. c) We correctly reject Ho. d) We reject Ho, making a Type II error. e) We correctly fail to reject Ho. a) Part two: We have calculated a one-proportion z-confidence interval based on a sample of size n = 100. Now at the same confidence level we want to get a less precise estimate with a larger margin of error Our new sample needs to be of size: a) larger than 100 b) Smaller than 100 c) Equal to 100
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