A husband and wife, Ed and Rina, share a digital music playerthat has a feature that randomly selects which song to play. Atotal of 3476 songs have been loaded into the player, some by Edand the rest by Rina. They are interested in determining whetherthey have each loaded different proportions of songs into theplayer. Suppose that when the player was in the random-selectionmode, 38 of the first 58 songs selected were songs loaded by Rina.Let p denote the proportion of songs that were loaded by Rina.
(a) State the null and alternative hypotheses to be tested. Howstrong is the evidence that Ed and Rina have each loaded adifferent proportion of songs into the player? Make sure to checkthe conditions for the use of this test. (Round your test statisticto two decimal places and your P-value to three decimal places.Assume a 95% confidence level.)
z = 2.36
P-value = 0.018
Conclusion: There is strong evidence that the proportion ofsongs downloaded by Ed and Rina differs from 0.5.
(b) Are the conditions for the use of the large sampleconfidence interval met? Yes, the conditions are met.
If so, estimate with 95% confidence the proportion of songs thatwere loaded by Rina. Round your answers to 3 decimal places. _____to ________
