Question

In: Statistics and Probability

Answer True or False to each of the following. Write the answer in the column on...

Answer True or False to each of the following. Write the answer in the column on the right.

The width of the confidence interval is the margin of error.

If a test is run and p=0.04, then we can reject H0 at ?=0.01.

If a 95% CI for the difference in two independent means is (-4.5 to 2.1), then the point estimate is -2.1.

The difference in means between two groups can be statistically significant, but not clinically significant.  

The greater the test statistic (i.e. z, t, or F), the greater the p value.

If a 95% CI for the difference in two independent means is (2.1 to 4.5), there is no statistically significant difference in means.

According to the central limit theorem, even if a population parameter is not normally distributed in a sample, the distribution of the sample means, if sufficiently large (n>30) will be normal.

Confidence intervals for relative risks and odds ratios require the usage of the natural log in their formula.

Solutions

Expert Solution

1) The width of the confidence interval is the margin of error.-false ( it is 2*margin of error)

2)If a test is run and p=0.04, then we can reject H0 at ?=0.01 -false (we reject if p value is lesss than 0.01)

3)If a 95% CI for the difference in two independent means is (-4.5 to 2.1), then the point estimate is -2.1. -false

( it should be (-4.5+2.1)/2=-1.2)

4)

The difference in means between two groups can be statistically significant, but not clinically significant. --true

5)

The greater the test statistic (i.e. z, t, or F), the greater the p value.--False

6)If a 95% CI for the difference in two independent means is (2.1 to 4.5), there is no statistically significant difference in means. -False

7)According to the central limit theorem, even if a population parameter is not normally distributed in a sample, the distribution of the sample means, if sufficiently large (n>30) will be normal. --true

8) Confidence intervals for relative risks and odds ratios require the usage of the natural log in their formula.-true

orchestra answered 2 years ago
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