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    Which of the following p-values would signify that a sample correlation coefficient is significant at 1% level of significance?
    Question

    Which of the following p-values would signify that a sample correlation coefficient is significant at 1% level of significance?

    A.

    0.005

    B.

    0.02

    C.

    0.99

    D.

    0.95

    Correct option is A

    A p-value of 0.005 indicates there is a 0.5% probability that the observed correlation could be due to chance if the null hypothesis were true. For a test at the 1% significance level, we reject the null hypothesis if the p-value is less than 0.01. Since 0.005 is less than 0.01, it signifies a significant result, suggesting the sample correlation coefficient is statistically significant at the 1% level.
    Information Booster
    ·         0.02
    A p-value of 0.02 means there's a 2% chance of observing the correlation by random chance. It's significant at the 5% level but not at the 1% level.
    ·         0.99
    This p-value is far above any conventional significance level, suggesting there's a 99% probability the observed correlation is due to chance, not significant at the 1% level.
    0.95
    ·         Similar to 0.99, a p-value of 0.95 is well above the 1% significance threshold, indicating a very high likelihood that the correlation observed could be due to random variation.
     

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