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Justifying a Claim About the Slope of a Regression Model

AP Statistics· difficulty 3/5

A 95% confidence interval for the slope of a regression is (-0.5, 2.3).

95% CI: (-0.5, 2.3) -0.5 0 2.3

What does this imply about the test H0: beta = 0?

  • A

    Reject H0

  • B

    Slope is positive

  • C

    Fail to reject H0 at alpha = 0.05; 0 is in the interval

    check_circle
  • D

    Test cannot be performed

Explanation

Since 0 lies inside the 95% CI, we fail to reject H0: beta = 0 at alpha = 0.05.

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