Suppose that for a particular study the expected value of a phenomenon is 0.00.

Question

Suppose that for a particular study the expected value of a phenomenon is 0.00. The study results in a reported 95% confidence interval of [-0.68, 0.11].

What decision do you make based on the 95% confidence interval?

Fail to reject the null because this interval includes negative values.

Fail to reject the null because the population mean is within the confidence interval.

Reject the null because the population mean is within the confidence interval.

Reject the null because this interval is unexpectedly small.

Fail to reject the null because this interval includes negative values.

Fail to reject the null because the population mean is within the confidence interval.

Reject the null because the population mean is within the confidence interval.

Reject the null because this interval is unexpectedly small.

Explanation / Answer

The decision based on the 95% confidence interval is:Fail to reject the null because the population mean is within the confidence interval.

If the 95% confidence interval contains zero that is the parameter value specified in the null hypothesis then the effect will not be significant at the 0.05 level that is the null hypothesis can not be rejected.

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