Significance test for a proportion

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August 7, 2017
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August 7, 2017
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Significance test for a proportion

A husband and wife, Ted and Suzanne, share a digital musicplayer that has a feature that randomly selects which song toplay.A total of 3476 songs have been loaded into the player, someby Ted and the rest by Suzanne. They are interested in determiningwhether they have each loaded a different proportion of songs intothe player. Suppose that when the player was in therandom-selection mode, 22 of the first 30 songs selected were songsloaded by Suzanne. Let p denote the proportion of songs that wereloaded by Suzanne. State the null and alternative hypotheses to betested. How strong is the evidence that Ted and Suzanne have eachloaded a different proportion of songs into the player?


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