Ten years ago, the average amount of time a family spent eating supper together was 27.8 minutes. A sociologist believes this average has decreased. She randomly selects a sample of 12 families and finds the sample average to be 24.307 minutes. The sample data look about bell-shaped. She calculated a test statistic of t = -1.661.

Part (a) What is the p-value ? (3 decimal places) _______

Part (b) If she conducts the test at a significance level 0.05, what should the conclusion be?

Part (c) If she conducts the test at a significance level 0.10, what should the conclusion be?