17 The 95 confidence interval for a collection of paired sam

17) The 95% confidence interval for a collection of paired sample data is 0.0 < d < 3.4. Based on the same sample, a traditional hypothesis test fails to support the claim of d > 0. What can you conclude about the significance level of the hypothesis test?

Solution

17) The 95% confidence interval for a collection of paired sample data is 0.0 < d < 3.4. Based on the same sample, a traditional hypothesis test fails to support the claim of d > 0. What can you conclude about the significance level of the hypothesis test?

95% confidence interval for a collection of paired sample data is 0.0 < d < 3.4 does not contain zero value suggest it is significant.

Since traditional hypothesis test fails to support the claim of d > 0, significance level of the hypothesis test must be less than 0.05.

So significance level of the hypothesis test may by 0.01.