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20 August, 06:29

The following hypotheses are given. H0 : π ≤ 0.70 H1 : π > 0.70 A sample of 100 observations revealed that p = 0.75. At the 0.05 significance level, can the null hypothesis be rejected?

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  1. 20 August, 08:46
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    The null hypothesis can't be rejected.

    Step-by-step explanation:

    Given information:

    Null hypothesis:

    H₀ : π ≤ 0.70

    Alternative hypothesis:

    H₁ : π > 0.70

    We need to check whether the null hypothesis is rejected or accepted.

    If P-value < α, then we reject the null hypothesis H₀.

    If P-value ≥ α, then we accept the null hypothesis H₀.

    A sample of 100 observations revealed that p = 0.75 at the 0.05 significance level.

    Here 0.75>0.05, it means p > α, therefore we can not reject the null hypothesis.
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