MATH 012403 A1 Business and Technical College Confidence Interval Elementary Statistics Questions

Summary StatsProbability of heads: 0.5
Number of tosses: 1000
Number of repetitions: 1000
Animate
Draw Samples
Total = 1000
Mean = 0.500
SD = 0.016
30
20
10
Number of heads
Proportion of heads
0
As extreme as >
Count
0.43 0.45 0.46 0.48 0.49 0.50 0.52 0.53 0.55
Proportion of heads
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QUESTION 1
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Construct a simulation based 95% confidence interval (25D) for the proportion of all adult Americans who played board games this past year.
QUESTION 2
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Does this interval from question 1 suggest that fewer than 25% of adult Americans have played board games this past year?
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QUESTION 3
Extra Credit. If there was a sample of 250 people (instead of 1000) would the resulting confidence interval be wider or narrower than the interval from question 1.
Explain your reasoning.
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