Round your answer to two decimal places Round your answer to

Round your answer to two decimal places.

Round your answer to two decimal places.

Solution

(a) P(-0.03 <phat-p <0.03)

=P(-0.03/sqrt(0.84*(1-0.84)/60) <(phat-p)/sqrt(p*(1-p)/n)<0.03/sqrt(0.84*(1-0.84)/60))

=P(-0.63<Z<0.63)

=0.47 (from standard normal table)

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(b) P(phat-p <0.05)

=P(Z<0.05/sqrt(0.84*(1-0.84)/60))

=P(Z<1.06)

=0.86 (from standard normal table)