A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.01 leve

Question

A poll of 1,068 adult Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for the presidency. At the 0.01 level of significance, test the claim that at least half of all voters prefer the Democrat.
State the Test Statistics.

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Julia 2 weeks 2022-01-08T21:42:58+00:00 1 Answer 0 views 0

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    2022-01-08T21:44:56+00:00

    Answer: We will not accept the null hypothesis.

    Step-by-step explanation:

    Since we have given that

    sample size n = 1068

    \hat{p} = 48% = 0.48

    At 0.01 level of significance, z = – 2.58

    Hypothesis are:

    H_0:p=0.5\\\\H_a:p\neq 0.5

    So, test statistic value would be:

    z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\\\\z=\dfrac{0.48-0.50}{\sqrt{\dfrac{0.5\times 0.5}{1068}}}\\\\z=\dfrac{-0.02}{0.0152}\\\\z=-1.315

    So, test statistic > critical value.

    Hence, we will not accept the null hypothesis.

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