A husband and wife, Stan and Lucretia, share a digital audio player that has a feature that randomly selects which song to play. A total of 2444 songs have been loaded into the player, some by Stan and the rest by Lucretia. They are interested in determining whether they have loaded different proportions of songs into the player. Suppose that when the player was in the random-selection mode, 26 of the first 40 songs selected were songs loaded by Lucretia. Let p denote the proportion of songs that were loaded by Lucretia. The alternative hypotheses to be tested is . The sample proportion (keep two decimal points) is The test statistic (keep two decimal points) is The p-value (keep 4 decimal points) is The decision for testing at a=0.05 is Are the conditions for the use of the large-sample confidence interval met