Quiz: Quiz 6 This Question: 1 pt ime Remaning 01 54 46 Subn with Find the minimu

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Quiz: Quiz 6 This Question: 1 pt ime Remaning 01 54 46 Subn with Find the minimum size needed brind the minimum sample size needed, using a prior study hat land tat 26% of tho c) Compare the results from parts (a) and (b) respondents said they tak their president can control the pke of gasio n-(Round up to the nearest whole number as needed) b) what h the minimum sample size needed using a prior study that found hat 26% ofthe tespondents said they tink th-president can co trol te pice of gasolu? n-(Round up to the nearest whole number as needed) (c) How do the results from (a) and (b) compare? O A. Having an estimate of the population proportion has no effect on the minimum sample size needed O B. Having an estimate of the population proportion reduces the minimum sample size needed C. Having an estimate of the population proportion raises the minimum sample size needed lick 0 @@"1 9 0 Type here to search

Explanation / Answer

Solution:-
a)
since p is unknown, we use p = 0.5 and (p(1-p)) = 0.25
n = (Z(alpha/2))^2 * (0.25) / (0.03)^2
Z(alpha/2) = 2.575 from z-tables
n = (2.575)^2 * (0.25) / (0.03)^2
= 1841.8402
minimum sample size is 1842

b)p = 0.26 and (0.26(1-0.26)) = 0.1924
n = (2.575)^2 *(0.1924) / (0.03)^2
= 1417.4802
minimum sample size is 1418

c) option B) - having an estimate of the population proportion reduces the minimum sample size nedded

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