Professional musicians listened to five violins beingplayed, without seeing the instruments. One violin was aStradivarius, and the other four weremodern-day violins. When asked to pick the Stradivarius(after listening to allfive), 38 got it right and 110 got it wrong.

b. Perform aone-proportion z-test with the samedata, using aone-tailed alternative that the experts should get more than 20% correct. Use a significance level of 0.05.

Find the test statistic for this test.

Find the p-value.