A cinema is in the process of remodeling and wants to know if removing the large arcade offered at their location in lieu of an extra screening room would be financially feasible. They know that a new screening room will bring more revenue than the arcade, but they do not know what role, if any, the arcade plays in a customers decision to visit their location over another cinema that does not have a large arcade. 6 random samples were performed, each consisting of 1,000 customers. The customers filled out a card stating only their age and sex, along with a yes or no as to whether or not the arcade played a role in their current visit to the cinema. The samples produced the following results:
|
(n)
|
Yes
|
|
Sample 1
|
1000
|
71
|
|
Sample 2
|
1000
|
132
|
|
Sample 3
|
1000
|
82
|
|
Sample 4
|
1000
|
65
|
|
Sample 5
|
1000
|
90
|
|
Sample 6
|
1000
|
115
|
|
Mean
|
|
92.5
|
|
STD
|
|
23.81
|
Based on these results, were they to perform a confidence interval test with a 95% confidence level, what would the upper and lower bounds be? The standard error? What does this mean to the cinema?