Violins Professional musicians listened to five violins being played, without seeing the instruments. One violin was a Stradivarius, and the other four were modern-day violins. When asked to pick the Stradivarius (after listening to all five), 39 got it right and 113 got it wrong.
a. Use the chi-square goodness-of-fit test to test the hypothesis that the experts are not simply guessing. Use a significance level of 0.05.
b. Perform a one-proportion z-test with the same data, using a one-tailed alternative that the experts should get more than 20% correct. Use a significance level of 0.05.
c. Compare your p-values and conclusions.