Steps and Confidence Intervals in Hypothesis Testing

This section lists four key steps in hypothesis testing and explains the close relationship between confidence intervals and significance tests.

Significance Testing and Confidence Intervals

Questions

Question 1 out of 4.

The null hypothesis for a particular experiment is that the mean test score is 20. If the 99% confidence interval is (18, 24), can you reject the null hypothesis at the .01 level?

Question 2 out of 4.

Select all that apply. Which of these 95% confidence intervals for the difference between means represent a significant difference at the .05 level?

(-4.6, -1.8)
(-0.2, 8.1)
(-5.1, 6.7)
(3.0, 10.9)

Question 3 out of 4.

If a 95% confidence interval contains 0, so will the 99% confidence interval.

True
False

Question 4 out of 4.

Select all that apply. A person is testing whether a coin that a magician uses is biased. After analyzing the results from his coin flipping, the p value ends up being .21, so he concludes that there is no evidence that the coin is biased. Based on this information, which of these is/are possible 95% confidence intervals on the population proportion of times heads comes up?

(.43, .55)
(.32, .46)
(.48, .64)
(.76, .98)
(.81, 1.33)