The historical on-time percentage for Amtrak's Sunset Limited is 10 percent. In July, the train was on time 0 times in 31 runs. Hint: Use Excel to calculate the cumulative binomial probability P(X ≤ 0 | n = 31, ππ = .10). Assume α = .1.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
The historical on-time percentage for Amtrak's Sunset Limited is 10 percent. In July, the train was on time 0 times in 31 runs. Hint: Use Excel to calculate the cumulative binomial probability P(X ≤ 0 | n = 31, ππ = .10). Assume α = .1.
(a) Choose the correct null and alternative hypotheses.
- H0: ππ ≥ .10 versus H1: ππ < .10. Reject H0 if P < .10
- H0: ππ ≥ .10 versus H1: ππ < .10. Reject H0 if P > .10
multiple choice 1
-
a Correct
-
b
(b) Find the probability. (Round your answer to 4 decimal places.)
P(X = 0)
(c-1) We can reject the null hypothesis.
multiple choice 2
-
Yes Correct
-
No
(c-2) Has the on-time percentage fallen?
multiple choice 3
-
Yes Correct
-
No
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 1 images
