(3 points) A survey of 15651565 people who took trips revealed that 178178 of them included a visit to a theme park. Based on th ose survery results, a management consultant claims that less than 1212 % of trips include a theme park visit. Test this claim using the α=0.05α=0.05 significance level.
1 answer:
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.
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