Question: Before an intensive TV advertising campaign, the producers of Nike athletic shoes find that 35 of a random sample of 220 upper-income adults were aware of their new leisure shoe line. A second random sample of 376 such adults is taken after the campaign. Now 120 of the persons sampled can identify the new line.

1. Give a 99% confidence interval for the increase in the proportion of upper-income adults showing brand awareness.
2. You are reading an article in your field that reports several statistical analyses. The article says that the P-value for a significance test is 0.045. Is the result significant at the 5% significance level?
3. Is the result with P-value 0.045 significant at the 1% level?
4. For another significance test, the article says only that the result was significant at the 1% level. Are such results always, sometimes, or never significant at the 5% level?
5. The article contains a 95% confidence interval. Would the margin of error in a 99% confidence interval computed from the same data be less, the same, or greater?

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