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    A researcher obtains the following p-values for sample correlation coefficients of different samples. Which of these can be considered significant at
    Question

    A researcher obtains the following p-values for sample correlation coefficients of different samples. Which of these can be considered significant at 1% level significance?
    A. 0.004
    B. 0.99
    C. 0.995
    D. 0.001
    E. 0.1
    Choose the correct answer from the options given below:

    A.

    B and C only

    B.

    B, D and E only

    C.

    A and D only

    D.

    B, C and E only

    Correct option is C

    The p-value is a measure of the evidence against the null hypothesis in hypothesis testing. A smaller p-value indicates stronger evidence against the null hypothesis, meaning that there is a significant effect. In this context, we're interested in p-values that are significant at the 1% level, meaning p-values less than or equal to 0.01.
    A. 0.004: This is less than 0.01, so it is significant at the 1% level.
    D. 0.001: This is less than 0.01, so it is significant at the 1% level.
    Therefore, only options A and D have p-values that can be considered significant at the 1% level.
    Information Booster
    ·         0.99: This is much greater than 0.01, so it is not significant.
    ·         0.995: This is also greater than 0.01, so not significant.
    ·         0.1: This is greater than 0.01, so it is not significant.
     

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