The null hypothesis, H0: μ1 − μ2 = 0, suggests that there is no difference between the two population means. If the 95% confidence interval for the difference between the two means includes 0, we fail to reject the null hypothesis because it indicates that the difference could be 0.

Looking at the two provided confidence intervals:

1. 95% confidence interval: (−3.853, −0.943): This interval does not include 0, which means the difference between the two population means is significantly different from 0. Therefore, we have enough evidence to reject the null hypothesis.

2. 95% confidence interval: (−0.285, 1.345): This interval includes 0, which means the difference between the two population means is not significantly different from 0. Therefore, we do not have enough evidence to reject the null hypothesis.

So, the first confidence interval (−3.853, −0.943) provides enough evidence to reject the null hypothesis.

Question

The null hypothesis, H0: μ1 − μ2 = 0, suggests that there is no difference between the two population means. If the 95% confidence interval for the difference between the two means includes 0, we fail to reject the null hypothesis because it indicates that the difference could be 0.

Looking at the two provided confidence intervals:

1. 95% confidence interval: (−3.853, −0.943): This interval does not include 0, which means the difference between the two population means is significantly different from 0. Therefore, we have enough evidence to reject the null hypothesis.

2. 95% confidence interval: (−0.285, 1.345): This interval includes 0, which means the difference between the two population means is not significantly different from 0. Therefore, we do not have enough evidence to reject the null hypothesis.

So, the first confidence interval (−3.853, −0.943) provides enough evidence to reject the null hypothesis.

Knowee AI · Accepted Answer

The null hypothesis, H0: μ1 − μ2 = 0, suggests that there is no difference between the two population means. If the 95% confidence interval for the difference between the two means includes 0, we fail to reject the null hypothesis because it indicates that the difference could be 0.

Looking at the two provided confidence intervals:

1. 95% confidence interval: (−3.853, −0.943): This interval does not include 0, which means the difference between the two population means is significantly different from 0. Therefore, we have enough evidence to reject the null hypothesis.

2. 95% confidence interval: (−0.285, 1.345): This interval includes 0, which means the difference between the two population means is not significantly different from 0. Therefore, we do not have enough evidence to reject the null hypothesis.

So, the first confidence interval (−3.853, −0.943) provides enough evidence to reject the null hypothesis.

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