In: Math
A survey of 1320 people who took trips revealed that 108 of them included a visit to a theme park. Based on those survey results, a management consultant claims that less than 9 % of trips include a theme park visit. Test this claim using the ?=0.05
significance level.
Find
(a) The test statistic
(b) The P-value
(c) A or B in conclusion
A. There is not sufficient evidence to support the
claim that less than 9 % of trips include a theme park visit.
B. There is sufficient evidence to support the
claim that less than 9 % of trips include a theme park visit.
Null hypothesis
Alternative hypothesis
We have for given example,
Population proportion value is =0.09
x=108
n=1320
Level of significance = 0.01
Estimate for sample proportion
a)
Z test statistic formula for proportion
b) P value = 0.1495..................by using Z table or by using Excel command NORMSDIST(-1.04)
c)
A. There is not sufficient evidence to support the claim that less than 9 % of trips include a theme park visit.
Since , P value is = 0.1495 >0.05