Many People believe that Red is the best Jelly Bean in the pack. A statistics student wishes to know the proportion of J

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Many People believe that Red is the best Jelly Bean in the pack.
A statistics student wishes to know the proportion of Jelly Bean
candies that are Red. He takes a random sample of 690 jelly beans
and determines that 138 are red. (p̂ = 0.20) a.) Identify the
population, parameter, sample, and statistic.
Population:
Parameter:
Sample:
Statistic:
b.) Construct a 95% confidence interval for the true proportion
of all Jelly bean candies that are red.
State-
Parameter:
Plan-
Name of procedure:
Check Conditions:
Do-
General formula for any confidence interval:
Specific formula for this confidence interval:
Plug Numbers into the formula:
c.) Suppose he wants to get the margin of error down to only 2%
(0.02). How many Jelly beans would he need to sample at 95%
confidence?