statistics

As a manager for an advertising company, you must plan a campaign designed to increase Twitter usage. A recent survey suggests that 85% of adults know what Twitter is. How many adults should you survey in order to be 90% confident that your estimate is within 5% of the true population proportion?

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  3. 👁 1,054
  1. Solution
    Our p in this case is 0.85
    Our q will be 1-p, which is 1-0.85
    The Margin of Error will be 0.05,
    Z*-value will be 1.645, as read from the table
    Therefore, n will be given by

    n= pq(z/ME)2

    n= 0.85*(1-0.85) *{1.645/0.05)2
    n=138.0007, approx. 138 adults

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