Parameter
Null and Alternative
Do the math
Conclude
Miscellaneous
100
Apple produces about 300 iPads every hour at their factory in Silicon Valley. On average, about 2.5% are found to be defective. If there is statistical evidence that more than 2.5% of iPads in an hour are defective, they will reset the machine.
What is the parameter of interest?
Population proportion of iPads that are defective from the factory in Silicon Valley.
100
Apple produces about 300 iPads every hour at their factory in Silicon Valley. On average, about 2.5% are found to be defective. If there is statistical evidence that more than 2.5% of iPads in an hour are defective, they will reset the machine.
State the null and alternative hypothesis.
Ho: p = .025
Ha: p < .025
100
Apple produces about 300 iPads every hour at their factory in Silicon Valley. On average, about 2.5% are found to be defective. If there is statistical evidence that more than 2.5% of iPads in an hour are defective, they will reset the machine.
In our sample of 300 iPads in an hour 14 were defective. What is our p value?
p = .008
100
Apple produces about 300 iPads every hour at their factory in Silicon Valley. On average, about 2.5% are found to be defective. If there is statistical evidence that more than 2.5% of iPads in an hour are defective, they will reset the machine.
If we found a p value of .047 and were testing at a .05 significance level, what would our conclusion be in the context of the problem?
reject Ho, conclude Ha, that more than 2.5% of iPads are defective
100
This 20 year Air Force veteran graced television screens on PBS from 1983 to 1994 bringing audiences the joy of painting.
Who is Bob Ross?
200
At OHSU, 22.56% of all patients are children. A certain grant requires that a similar proportion of dental patients be children. To earn the grant, what parameter of interest should we investigate?
The population proportion of dental patients.
200
At OHSU, 22.56% of all patients are children. A certain grant requires that a similar proportion of dental patients be children. If there is evidence that less than 22.56% of dental patients are children, OHSU will lose the grant. Write a null and alternative hypothesis to test.
Ho: p = .2256
Ha: p < .2256
200
At OHSU, 22.56% of all patients are children. A certain grant requires that a similar proportion of dental patients be children. If there is evidence that less than 22.56% of dental patients are children, OHSU will lose the grant. In a sample of 400 dental patients, 82 were children. Find the p value for this scenario.
p = .162
200
At OHSU, 22.56% of all patients are children. A certain grant requires that a similar proportion of dental patients be children. If there is evidence that less than 22.56% of dental patients are children, OHSU will lose the grant. We found the p value to be .006. What should our conclusion be if we are testing at the .01 significance level?
reject Ho, conclude Ha, that less than 22.56% of dental patients are children
200
What breed of dog is this?
French Bulldog
300
We are finding the PROPORTION OF APPLES THAT ARE RED, what is our parameter of interest?
Proportion of apples that are red.
300
You think the proportion is .33, your friend thinks the proportion is higher. Write the null and alternative hypothesis that your friend should use.
Ho: p = .33
Ha: p > .33
300
phat = 8/30
Po = .24
n = 30
Find the p value of a TWO sided significance test.
p= .732
300
p value = .064, significance level = .05, what is your conclusion without context.
Fail to reject Ho, cannot conclude Ha.
300
This Portland Thorns star added a 2024 gold medal to her trophy case. It looks nice next to her 2023 NWSL MVP, 2023 NWSL Golden Boot, and 2023 NWSL championship.
Who is Sophia Smith?