# Binomial Distribution

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A hosptial has 500 patients - I sample 100 regarding opinion on quality of care - 74 are favorable. Data is assumed to be normally distributed. Use this sample to predict the population proportional and to do so with 98% confidence- (finite correct factor).

a. what is the lower limit for this 98% confidence interval

b. what is the upper limit fo rthis 98% confidence interval

c. what is the upper limit for a 99% confidence interval?

d. what is the upper limit for #15 if the sample size is 64?

Thanks so much!

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#### Solution Preview

Favourable = 74%

Unfavourable = 26%

Sample Size = 100

Std Dev = sqrt(npq)

= sqrt(100*74%*26%)

=4.38

Z value for 98% Confidence = ...

$2.49