Question

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, 36 of the first 56 songs selected were songs loaded by Rina. Let p denote the proportion of songs that were loaded by Rina.

1) How strong is the evidence that Ed and Rina have each loaded a different proportion of songs into the player? Make sure to check the conditions for the use of this test.(Round your test statistic to two decimal places and your P-value to four decimal places. Assume a 95% confidence level.)

Answer:

z= _______

P-value= _______

2) 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.)

Answer: _______ to _______

Answer 1