A group of students need to submit a project, and they need to survey people about...

A group of students need to submit a project, and they need to survey people about their daily routine. How many people should they survey in order to be 95% confident that the estimated (sample) proportion is within three percentage points of the true population? Assume that pq = 0.25

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Expert Solution

Solution :

Given that,

margin of error = E = 3% = 0.03

At 95% confidence level the z is ,

= 1 - 95% = 1 - 0.95 = 0.05

/ 2 = 0.05 / 2 = 0.025

Z/2 = Z0.025 = 1.96 ( Using z table )

Sample size = n = (Z/2 / E)2 * p * q

= (1.96 / 0.03)2 * 0.25

= 1067.11

Sample size =1067 (rounded)

orchestra answered 1 year ago

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