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

Answer 1

The statistical software output for this problem is:

One sample proportion summary hypothesis test:
p : Proportion of successes
H₀ : p = 0.08
H_A : p < 0.08

Hypothesis test results:

Proportion	Count	Total	Sample Prop.	Std. Err.	Z-Stat	P-value
p	133	1960	0.067857143	0.0061278887	-1.9815727	0.0238

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.