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A Problem with Point Estimation: The value of the statistic alone provides us with no information about the accuracy of the estimate.

eg. A coin flipping experiment. Consider your three different results,

Each of these is a point estimate for p = probability of head.

**Because any statistic is a random variable, it has variability inherent in its value. We need to take that variability into account.

Attempt

p-hat

Trial 1

0.45

Trial 2

0.5

Trial 3

0.482