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Question

A coin is tossed 52 times and 33 heads are observed. Would we infer that this is a fair coin? Use a 95% level confidence interval to base your inference.

The sample statistic for the proportion of heads is: ______ (3 decimals)

The standard error in this estimate is:_________ (3 decimals)

The correct z* value for a 95% level confidence interval is: ______ (3 decimals)

The lower limit of the confidence interval is: ______ (3 decimals)

The upper limit of the confidence interval is: __________ (3 decimals)

Based on this confidence interval, it is __________plausible not plausible that the coin is fair.