f 1000 people, 60% said that they have never hesitated to give a handshake rey h

Question

f 1000 people, 60% said that they have never hesitated to give a handshake rey had fear of germs. The survey results were reported in USA Today, a in ause thonducted by Wakefield Research for Purell, a supplier of had sanitizer products , a 95% confidence interval estimate of the proportion of people in the survey stru whohave never hesitated to give a handshake because of a fear of germs. 6 pts.) hing about the survey that might make the results questionable? Explairn. 3 pts.) dent pollster wanted to conduct another survey to confirm or refute the many people must be surveyed? Assume we want 90% confidence that abo Is there e) If an independent ranin how p) reslls oe pecentage is within 2 percentage points of the true population 6 pts.) proportion 8:

Explanation / Answer

A) At 95% Confidence interval the critical value is z0.025 = 1.96

The confidence interval is

P +/- z0.025 * sqrt(P * (1 - P)/n )

= 0.6 +/- 1.96 * sqrt(0.6 * 0.4/1000)

= 0.6 +/- 0.03

=0.57, 0.63

C) margin of error = 0.02

Or, z0.025 * sqrt (p * (1 - p )/n ) = 0.02

Or, 1.96 * sqrt(0.6 * 0.4/n) = 0./2

Or, sqrt(n) = 1.96 * sqrt (0.6 * 0.4)/0.02

Or, sqrt(n) = 48

Or, n = 2304

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