1 A coin is flipped a certain number of times and comes up heads 210 times, whic
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Question
1 A coin is flipped a certain number of times and comes up heads 210 times, which is 52% of the time.
How many times was the coin flipped?
2. Calculate the standard deviation of the sampling distribution when n= 16 for p= 0.5, p= 0.25, and p= 0.01. What happens to the standard deviation as p gets closer to 0?
3. What has to be true about the number of successes and failures in a sample in order to use theLarge-Sample Confidence Interval for Population Proportion?
4. Suppose you want to estimate the sample size needed to obtain a confidence interval with a particularmargin of error. Why do we need to first ‘guess’ a value forp?
Explanation / Answer
1. Suppose the coin was flipped x number of times. Then,
52% of x = 210
0.52x = 210
x = 210/0.52
x = 403.85
Since the flipping of coin can't be in fraction, the answer will be 404.
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