Question

2)McBeans magazine recently published a news article about caffeine consumption in universities that claims that 80% of people at universities drink coffee regularly. Moonbucks, a popular coffee chain, is interested in opening a new store on UBC campus. After reading McBeans' article, they will consider opening a store in UBC if more than 80% of the people in UBC drink coffee regularly. A random sample of people from UBC was taken, and it was found that 680 out of 810 survey participants considered themselves as regular coffee drinkers. Does Moonbucks' survey result provide sufficient evidence to support opening a store at UBC?

The PP-value is found to be about 0.0025. Using all the information available to you, which of the following is/are correct? (check all that apply)

A. The observed proportion of people at UBC that drink coffee regularly is unusually low if the reported value 80% is correct.
B. Assuming the reported value 80% is incorrect, there is a 0.0025 probability that in a random sample of 810, at least 680 of the people at UBC regularly drink coffee
C. Assuming the reported value 80% is correct, there is a 0.0025 probability that in a random sample of 810, at least 680 of the people at UBC regularly drink coffee.
D. The observed proportion of people at UBC that drink coffee regularly is unusually low if the reported value 80% is incorrect.
E. The observed proportion of people at UBC that drink coffee regularly is unusually high if the reported value 80% is correct.
F. The observed proportion of people at UBC that drink coffee regularly is unusually high if the reported value 80% is incorrect.
G. The reported value 80% must be false.

3) A report says that 82% of British Columbians over the age of 25 are high school graduates. A survey of randomly selected British Columbians included 1290 who were over the age of 25, and 1135 of them were high school graduates. Does the city’s survey result provide sufficient evidence to contradict the reported value, 82%?

The PP-value is less than 0.0001. Using all the information available to you, which of the following is/are correct? (check all that apply)

A. The observed proportion of British Columbians who are high school graduates is unusually low if the reported value 82% is incorrect.
B. The reported value 82% must be false.
C. The observed proportion of British Columbians who are high school graduates is unusually low if the reported value 82% is correct.
D. Assuming the reported value 82% is correct, it is nearly impossible that in a random sample of 1290 British Columbians aged above 25, 1135 or more are high school graduates.
E. The observed proportion of British Columbians who are high school graduates is unusually high if the reported value 82% is correct.
F. The observed proportion of British Columbians who are high school graduates is unusually high if the reported value 82% is incorrect.
G. Assuming the reported value 82% is incorrect, it is nearly impossible that in a random sample of 1290 British Columbians aged above 25, 1135 or more are high school graduates.

1)Suppose in 2011 a survey of 943 workers in the city of Ottawa found that 227 used public transport to commute to work. Give your answers to the following to two decimal places.

Part (a) Find a 95% confidence interval for the percentage of workers in Ottawa using public transport to commute to work. Use the sample proportion in your estimate of the standard error. Provide the upper and lower bounds for your confidence interval. (  ,  )

Answer 1