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4a The Dean of USD’s School of Business wants to estimate of the percentage of undergraduate...

  1. 4a The Dean of USD’s School of Business wants to estimate of the percentage of undergraduate students who do an internship. He wants to be 92% confident that the margin of error is less than 3 percent. Previous studies have shown this proportion to be around 66%..How large of a sample must he take?

    496

    764

    564

    655

    None of the above
Math   Statistics-And-Probability   
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Answer #1

Solution :

Given that,

= 66%=0.66

1 - = 1 - 0.66 = 0.34

margin of error = E = 3% = 0.03

At 92% confidence level the z is ,

Z/2 =1.75 ( Using z table  

Sample size = n = (Z/2 / E)2 * * (1 - )

= (1.75/ 0.03)2 * 0.66*0.34

= 764

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