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    Probability Question




    Hi can you help me with this problem please. a bank claimed 40% of its customers use internet banking. in random checks they found 170 of the 500 customers used internet banking in a day. does the sample result mean the bank's claim is too large. perform an hypothesis test and calculate the P-value.
    thank you for your previous help
    roby

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    This is a directional hypothesis test. The bank claims P = 0.40, but the sample data = 170/500 = 0.34.

    Ho: P = 0.40
    Ha: P < 0.40

    Z = (p - P) / Sp

    where
    "small" p = 0.34
    "big" P = 0.40
    Sp = sqrt(P*q/n) --> q = 1 - P = 0.6, n = 500

    Once you find Z, determine its probability in the normal distribution tables (this is the p-value).

    If it's really small (say < .05), you have enough evidence to reject the bank's claim.

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