Question

You were asked to investigate the association between smoking among mothers and infant low birth weight. You were asked to calculate a measure of association like an Odds Ratio together with the confidence intervals. They asked you to calculate a 90% confidence interval instead of a 95% confidence interval. Will the lowering of the confidence interval from 95% to 90% increase or decrease the chance of making Type 1 error? Will this affect the probability of making Type 2 error? How will this affect the power of the study? Explain your answer

Answer 1

Lowering of confidence interval from 95% to 90% increase the chance of making type one error . Because for 95% confidence level, 5% is the significance level. So Maximum value of probability of type 1 error can take is 0.05

When we use 90% confidence level we have 10% significance level which results in maximum value for probability for type 1 error is 0.10

When probability of type 1 error is increased then at the same time probability of type 2 error is decreased... So when confidence level changed from 95% to 90% then probability of type 2 error is decreased

Power = 1- Probability of type 2 error

So Power is increased....

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