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125/500 women soda drinkers indicate they drink diet soda. At the .01 level, does this evidence indicate that more than 20% of the women soda drinkers drink diet soda? Determine and explain the P-value please. I have the numbers...just cannot explain. Please help.

  • Statistics -

    Use. Population proportion

    Ho: p = 0.2
    Ha: p > 0.2

    if P-value is greater than significance level
    fail to reject Ho:

    if P-value is less than significance level
    Reject Ho.
    z = 2.80
    p-value = p ( z > 2.8) = 0.003

    Reject the null hypothesis. There is sufficient evidence indicate that more than 20% of the women soda drinkers drink the diet soda.

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