The following risk ratios give the increased risk for various diseases comparing two groups (exposed vs. unexposed).

a. 2.5 (2.0, 3.0)
b. 1.03 (1.02, 1.04)
c. 6.0 (.85, 9.8)
d. 0.98 (0.88, 1.08)
e. 0.20 (.05, 1.05)

Which risk ratios are statistically significant at the 0.05 level? You may choose more than one.

With your limited data, it is hard to tell. I don't know what the numbers represent. They need to be labeled better.

a. 2.5 (2.0, 3.0)

c. 6.0 (.85, 9.8)
e. 0.20 (.05, 1.05)

a and b are obove 1. The rest are between 1. answer A and B

To determine which risk ratios are statistically significant at the 0.05 level, we need to evaluate whether the confidence intervals for the risk ratios include the value of 1.0. If the confidence interval does not include 1.0, it suggests that the risk ratio is significantly different from 1.0.

Let's analyze each risk ratio one by one:

a. 2.5 (2.0, 3.0):
The confidence interval for this risk ratio is (2.0, 3.0). Since the confidence interval does not cross 1.0, we can conclude that this risk ratio is statistically significant at the 0.05 level.

b. 1.03 (1.02, 1.04):
The confidence interval for this risk ratio is (1.02, 1.04). Again, the confidence interval does not contain 1.0, indicating that this risk ratio is statistically significant at the 0.05 level.

c. 6.0 (0.85, 9.8):
The confidence interval for this risk ratio is (0.85, 9.8). Since the confidence interval includes 1.0, we cannot conclude that this risk ratio is statistically significant at the 0.05 level.

d. 0.98 (0.88, 1.08):
The confidence interval for this risk ratio is (0.88, 1.08). Again, the confidence interval includes 1.0, so we cannot consider this risk ratio as statistically significant at the 0.05 level.

e. 0.20 (0.05, 1.05):
The confidence interval for this risk ratio is (0.05, 1.05). As the confidence interval includes 1.0, we cannot conclude that this risk ratio is statistically significant at the 0.05 level.

Based on this analysis, the risk ratios that are statistically significant at the 0.05 level are:

a. 2.5 (2.0, 3.0)
b. 1.03 (1.02, 1.04)

These risk ratios have confidence intervals that do not contain 1.0, suggesting that the increased risk is statistically significant.