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Thread: Elementary stats help; Hypothesis testing amongst 2 proportions

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    Elementary stats help; Hypothesis testing amongst 2 proportions




    so I conducted a survey on sleep habits and I need help on whether or not I reject or fail to reject my original hypothesis. I have to use a significance level of alpha =0.05
    I have to show all the calculations;

    SO my original claim was Less than 20% of the people sampled take sleep-aids daily
    my results were n=135, and 8 took sleep aids

    So null Hypothesis (Ho); p=0.2 H1; p<0.2

    For my Z- score I got -4.07

    So where do I go from here?
    Since alpha=0.05 does this mean that the critical value is 1.645?
    When do I use the significance level?

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    Re: Elementary stats help; Hypothesis testing amongst 2 proportions


    your critical value should be -1.645 as this is a one tail test (your significance level has been used to determine this critical value as there is 0.05 chance that your values fall below this critical value under a normal distribution). The fact that you got a z score of -4.07 means you should reject the null hypothesis.

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