A travel agent claims that fewer than 8% of vacations include a trip to a theme
ID: 2947905 • Letter: A
Question
A travel agent claims that fewer than 8% of vacations include a trip to a theme park. A survey of 1960 people who took vacations recently revealed that 133 of them included a visit to a theme park. Test the travel agent's claim using the ?=0.03 significance level.
(a) The test statistic is
(b) The P-value is
(c) The conclusion is
A. There is not sufficient evidence to support the claim that less than 8 % of vacations include a theme park visit.
B. There is sufficient evidence to support the claim that less than 8 % of vacations include a theme park visit
Explanation / Answer
The statistical software output for this problem is:
One sample proportion summary hypothesis test:
p : Proportion of successes
H0 : p = 0.08
HA : p < 0.08
Hypothesis test results:
Hence,
a) Test statistic = -1.9816
b) P - value = 0.0238
c) Conclusion: There is sufficient evidence to support the claim that less than 8 % of vacations include a theme park visit.
Option B is correct.
Proportion Count Total Sample Prop. Std. Err. Z-Stat P-value p 133 1960 0.067857143 0.0061278887 -1.9815727 0.0238Related Questions
drjack9650@gmail.com
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.