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29 May, 22:25

In a representative sample of 1000 adult Americans, only 460 could name at least one justice who is currently serving on the U. S. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (For z give the answer to two decimal places. For P give the answer to three decimal places.) z=p=

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  1. 29 May, 22:32
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    P=2.326

    Step-by-step explanation:

    Raw Score (X) : =1000

    Population Mean (μ) : =460

    Standard Deviation (σ) : = Sqrt (npq)

    Where n=1000, p=460/1000=0.46 and q=1-0.46=0.54

    Sqrt (npq) = sqrt (460X0.54) = 15.7607

    Z = (X - μ) / σ

    Z = (1000 - 460) / 15.7607

    Z = 34.26244

    For p-value 0.01

    P (x=0.01) = 2.32635

    Hence, P=2.326 t 3 decimal places.
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