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statistics

A survey for brand recognition is done and it is determined that 68% of consumers have heard of Dull Computer Company. If a survey of 800 randomly selected consumers is to be held would it be unusual for 554 of them to recognize Dull Computer Company?

Please show the work so I can understand what formula to use and work it out my self with the other problems.

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  1. p = 0.68
    n = 800
    µ = np
    µ = 800(.68) = 544
    Standard deviation = √(np(1-p) )
    = √(800(.68)(.32) )
    = 13.1939
    µ±2σ
    (544 -2(13.193), 544+2(13.1939))
    (517.6, 570.4)
    554 is not unusual because it is in interval.

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