A husband and wife, Ed and Rina, share a digital music player that has a feature that randomly selects which song to play. A total of 3476 songs have been loaded into the player, some by Ed and the rest by Rina. They are interested in determining whether they have each loaded different proportions of songs into the player. Suppose that when the player was in the random-selection mode, 34 of the first 53 songs selected were songs loaded by Rina. Let p denote the proportion of songs that were loaded by Rina. If so, estimate with 95% confidence the proportion of songs that were loaded by Rina. (If the conditions are not met, enter NONE. Round your answers to four decimal places.) A) State the null and alternative hypothesis to be tested. How strong is the evidence that Ed and Rina have loaded different proportions of songs into the player? Make sure to check the conditions for the use of this test.
B) Are the conditions for the use of the large sample confidence interval met? If so, estimate with 95% confidence the proportions of the songs that were loaded by Rina.