Answer:
We fail to reject the null hypothesis at 0.05 significance level. We cannot say that less than 12% of trips include a theme park visit.
Step-by-step explanation:
let p be the proportion of trips included a visit to a theme park.
: p=0.12
: p<0.12
To test, we need to calculate test statistic of the sample proportion as:
z= where
- p(s) is the sample proportion of trips included visit to a theme park (
- p is the proportion assumed under null hypothesis. (0.12)
- N is the sample size (1565)
Using the numbers, z=
= −0.767 and p(z) is ≈0.222
Since 0.222 > 0.05 we fail to reject the null hypothesis.