QUESTION 3 A multi-national company wishes to gauge interest in the possibility

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QUESTION 3 A multi-national company wishes to gauge interest in the possibility of introducing a four day working week, but where the employees work extra hours on their working days to make up the full 40 hours per week From a sample of 60 workers 2 are in favour ofthe tourday working week. Cal late th 00% margin of ero, e, o, ne proportion of all the company employees who would be in favour of the four day working week. For 90% confidence, use 1.645 Give your answer as a decimal to three places Using the information in the previous question, caculate the 95% margin of erro e for he propotion o a working week. For 95% confidence, use Z= 1.96. Give your answer as a decimal to three places he em an empo ee who would be n a u he our da

Explanation / Answer

A) sample proportion (p) = 27/60 = 0.45

For 90%

Margin of error = Z * sqrt (p * (1 - p )/ n )

= 1.645 * sqrt (0.45 * 0.55/60)

= 10.565

B) For 95% margin error = Z * sqrt (p * (1 - p)/n)

= 1.96 * sqrt(0.45 * 0.55 /60)

= 12.588

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