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An employee survey conducted two years ago by a company found that 54% of its employees...

An employee survey conducted two years ago by a company found that 54% of its employees were concerned about future health care benefits. A random sample of 90 of these employees were asked if they were now concerned about future health care benefits. Assuming that there has been no change in the level of concern about health care benefits compared to the survey two years ago, what is the upper limit of the sample proportion such that only 3% of the time the sample proportion would exceed this value? Round the answer to four decimal places.

Hint: First standardize the sample proportion and then try to figure out the idea by sketching a standard normal curve.

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