Each of 55 subjects tastes two unmarked cups of coffee an says which he or she prefers. One cup in each pair contains instant coffee; the other, fresh brewed coffee. 30 of the subjects prefer the fresh-brewed coffee. Take p to be the proportion of the population who would prefer fresh-brewed coffee in a blind tasting. A) Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Is your result significant at the 5% level? What is your practical conclusion?
One-sample procedures for proportions, like those for means, are used to analyze data from matched pairs designs. Here is an example.
Each of 55 subjects tastes two unmarked cups of coffee an says which he or she prefers. One cup in each pair contains instant coffee; the other, fresh brewed coffee. 30 of the subjects prefer the fresh-brewed coffee. Take p to be the proportion of the population who would prefer fresh-brewed coffee in a blind tasting.
A) Test the claim that a majority of people prefer the taste of fresh-brewed coffee. Is your result significant at the 5% level? What is your practical conclusion?
z = _________________
P-value =____________________
Conclusion: a or b
a) There is significant evidence that a majority of people prefer the taste of fresh-brewed coffee.
b) There is no evidence that a majority of people prefer the taste of fresh-brewed coffee.
B) Find a 90% confidence interval for p.
Lower bound:___________________
Upper bound:___________________
C)When you do an experiment like this, in what order should you present the two cups of coffee to the subjects? (a,b, or c?)
a.)Random Order
b.)Instant Coffee First
c.)Fresh-brewed Coffee First
Trending now
This is a popular solution!
Step by step
Solved in 5 steps
