Professional musicians listened to five violins being played, without seeing the instruments. One violin was a Stradivarius, and the other tour were modern-day violi When asked to pick the Stradivarius (after listening to all five), 44 got it right and 126 got it wrong. Complete parts (a) through (c) below. X = 3.68 (Round to two decimal places as needed.) Find the p-value for this test. p-value = 0.055 (Round to three places as needed.) State your conclusion. Fail to reject the null hypothesis. There is not enough evidence to conclude that the experts are not simply guessing. 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. State the hypotheses. A. Ho: The percentage is 20%. Ha: The percentage is greater than 20%. B. Ho: The percentage is 20%. Ha: The percentage is not 20%. O C. Ho: The percentage is not 20%. Ha: The percentage is 20%. AO D. H,: The percentage is greater than 20%. H: The percentage is 20%. Find the test statistic for this test.

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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), 44 got it right and 126 got it wrong. Complete parts (a) through (c) below.
x² = 3.68 (Round to two decimal places as needed.)
Find the p-value for this test.
p-value = 0.055 (Round to three places as needed.)
State your conclusion.
Fail to reject the null hypothesis. There is not enough evidence to conclude that the experts are not simply guessing.
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.
State the hypotheses.
A. H: The percentage is 20%.
H3: The percentage is greater than 20%.
B. Ho: The percentage is 20%.
Ha: The percentage is not 20%.
O C. Ho: The percentage is not 20%.
H: The percentage is 20%.
AO D. Ho: The percentage is greater than 20%.
Ha: The percentage is 20%.
Find the test statistic for this test.
Transcribed Image Text: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), 44 got it right and 126 got it wrong. Complete parts (a) through (c) below. x² = 3.68 (Round to two decimal places as needed.) Find the p-value for this test. p-value = 0.055 (Round to three places as needed.) State your conclusion. Fail to reject the null hypothesis. There is not enough evidence to conclude that the experts are not simply guessing. 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. State the hypotheses. A. H: The percentage is 20%. H3: The percentage is greater than 20%. B. Ho: The percentage is 20%. Ha: The percentage is not 20%. O C. Ho: The percentage is not 20%. H: The percentage is 20%. AO D. Ho: The percentage is greater than 20%. Ha: The percentage is 20%. Find the test statistic for this test.
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