What's the key? A method of analyzing digital music files to determine the key in which the music was written was tested to determine its accuracy. In a sample of 361 pop music selections, the key was correctly identified in 277 of them. In a sample of 374 new age selections, the key was correctly identified in 299 of them. Can you conclude that the method is more accurate for new age music than for pop music? Let \( p_{1} \) denote the proportion of correctly identified keys in new age music. Use the \( \alpha=0.05 \) level of significance. Part 1 of 4 (a) State the appropriate null and alternate hypotheses. \( H_{0}: p_{1}= \) \( H_{1}: p_{1} \) This is a right-tailed Part: \( 1 / 4 \) Part 2 of 4 (b) Find the \( P \)-value. Round the answer to four decimal places. \( P \)-value \( = \)
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