A recent study suggests that more than (80 %) of all high school mathematics teachers use calculators

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A recent study suggests that more than \(80 \%\) of all high school mathematics teachers use calculators in their classroom. To test this theory, a national sample of 1,286 high school mathematics teachers were asked if they used calculators in their classroom and 1,274 responded that they did.

a. On the basis of the information collected from this sample, do you agree with the results of this study that suggest that more than \(80 \%\) of all high school mathematics teachers use calculators in their classroom?

b. What size sample would be needed to detect at least a \(5 \%\) difference at \(70 \%\) power?

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