From the survey of the randomly selected shoppers the number of people that have to be surveyed would be given to be between 8% and 40%.
The value of the sample space = (S)= 45
Confidence Level = 99%
24 percent of 45
= 0.24 * 45
= 10.8
= 11
people that support that it should be remodeled
= 10.8/45
= 0.24
z*-score 2.58
= 0.25 ± 0.25(1-0.25)/45
= 0.25 ± 0.17
= 0.08 and 0.42
This would be between 8% and 40%
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