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Math Help - Hyopthesis testing answer check

  1. #1
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    Hyopthesis testing answer check

    Can someone check my answers for the following questions? Thanks.

    The proportion of individuals responding to the standard treatment for a childhood blood disorder has been constant over a number of years, at 64%. A new treatment is being trialled and early results show that of the 125 patients exposed to the new treatment, 87 have responded.

    a) Can we claim a new, improved treatment? Conduct an appropriate hypothesis test at a 5% significance level, using a critical value approach.

    H0: p=.64
    H1: p>.64
    alpha = 5%
    p-hat - 87/125 = .696

    If H0 is true:
    z=(.696-.64)/(√.36/125)

    alpha = 5% = 1.645

    The z-score of 1.304 lies within the range of 1.645 so we don't have sufficient evidence that the new approach is better so we don't reject H0.


    b) What is the P-value for the test in part (a)?

    p-value = 1-.8485 = .1515


    c) If we wanted to be 90% sure that our sample proportion was within 0.05 of the true response rate for the new treatment, how many randomly-selected patients would we need to treat?


    90% = k = 1.645
    e = .05
    p = .696

    n=.696(1-.696)x(1.645/.05)^2
    = 229
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  2. #2
    MHF Contributor matheagle's Avatar
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    This is also on the university side of this forum.
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  3. #3
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    So, are my answers right or not?
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