SOLUTION: Each year, billions of dollars are spent at theme parks owned by Disney, Universal Studios, Seaworld, Busch Gardens, and others. A survey of 1233 people who took trips revealed tha
Algebra.Com
Question 1115644: Each year, billions of dollars are spent at theme parks owned by Disney, Universal Studios, Seaworld, Busch Gardens, and others. A survey of 1233 people who took trips revealed that 111 of them included a visit to a theme park (based on the Travel Industry Association of America). Based on those survey results, management consultant Laura Croft claims that less than 10% of trips include a theme park visit. Use a 0.05 significance level to test her claim.
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
10% of 1233 is 123.3 or approximately 123
:
111/1233 = 0.09
:
Ho: X = 0.10
H1: X > 0.10
:
the sample size(1233) > 30, so we can assume a normal distribution
:
mean = 0.10
:
standard deviation = square root(0.10 * (1-0.10) / 1233) = 0.0085
:
z-score of statistic = (0.09 - 0.10) / 0.0085 = −1.1765
:
the probability associated with this z-score is approximately 0.12
:
Since this is greater than the significance level of 0.05, we accept the null hypothesis.
:
***********************************************
We accept Laura Croft's statement
:
Note Ho implies the < sign
***********************************************
:
RELATED QUESTIONS
A survey of 1,092 tourists visiting Orlando was taken. Of those surveyed:
287 tourists (answered by Boreal)
A survey of 1,003 tourists visiting Orlando was taken. Of those surveyed:
281 tourists (answered by ikleyn)
A survey of 1,174 tourists visiting Orlando was taken. Of those surveyed:
250 tourists (answered by mccravyedwin,ikleyn,Edwin McCravy)
A survey of 1,062 tourists visiting Orlando was taken. Of those surveyed:
273 tourists (answered by ikleyn)
A survey of 1,062 tourists visiting Orlando was taken. Of those surveyed:
273 tourists (answered by ikleyn)
A survey of 1,119 tourists visiting Orlando was taken. Of those surveyed:
274 tourists (answered by ikleyn)
two days at bush gardens and 3 days at universal studios cost $420 while 4 days at bush... (answered by ikleyn)
A survey of 1,037 tourists visiting Orlando was taken. Of those surveyed:
• 265 tourists (answered by ikleyn)
Joe had $60 at a theme park. He spent 11 dollars of lunch and bought 5 souvenirs at x... (answered by ikleyn,josgarithmetic)