Professional musicians listened to five violins being played without seeing the instruments. One was a Stradivarius violin and the others were modern. When asked to identify the Stradivarius, 43 correctly identified it while 123 got it wrong. A chi-square goodness of fit test was conducted to test the hypothesis that the experts were not simply guessing. The test statistic was 3.62 and the p-value was 0.057, indicating the experts were likely not simply guessing.

1. Professional muticians istened to fire violins being played, wathout seeing the instruments. One
violin was a Stradivarus, and pee other four were modeen-day veins. When askes to piek Ele
Stradivarius (after istening to al five), 43 got it inght and 123 got it weong. Complete parts (a)
through (c) below. a. Use the chisiquare goodness-of-4t test to test the hypothetis that the exgets
ane not simply guessing Use a signicance ievel of o os. Lef p be the pepulation proportion of
prodessional musicians who could correctiy ifenaty a stradivarius violin stube the nul and
aleernative hypothases. Choose the comect anewer balow. Ho. The experts H3 : The experts are
not simply guessing: . (Horund to two decimal fisces as needed.) Find the 1b d statisfe for this test
x2=3.62 (Round to two decimat places as needed.) Find the p-value for thil test. p-vakat =
(Fhound to three places as needed.)