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Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots-18 red, 18 black and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The table displays the results. Color Count Red 85 Black 99 Green 16 The managers have also calculated the expected counts for each color: Red = 94.74, Black = 94.74, Green= 10.53, and calculated a test statistic of x² = 4.03 and P-value of 0.1333. What conclusion would you draw about whether or not the roulette wheel is operating correctly? Because the P-value of 0.1333 is > 0.05, we accept Ho. We do have convincing evidence that the roulette wheel is operating correctly. Because the P-value of 0.1333 is > 0.05, we reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the x² of 6.599 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly.

Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots-18 red, 18 black and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The table displays the results. Color Count Red 85 Black 99 Green 16 The managers have also calculated the expected counts for each color: Red = 94.74, Black = 94.74, Green= 10.53, and calculated a test statistic of x² = 4.03 and P-value of 0.1333. What conclusion would you draw about whether or not the roulette wheel is operating correctly? Because the P-value of 0.1333 is > 0.05, we accept Ho. We do have convincing evidence that the roulette wheel is operating correctly. Because the P-value of 0.1333 is > 0.05, we reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the x² of 6.599 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots-18 red, 18 black, and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The table displays the results. Color Count Red 85 Black 99 Green 16 The managers have also calculated the expected counts for each color: Red = 94.74, Black = 94.74, Green= 10.53, and calculated a test statistic of x² = 4.03 and P-value of 0.1333. 2 What conclusion would you draw about whether or not the roulette wheel is operating correctly? Because the P-value of 0.1333 is > 0.05, we accept Ho. We do have convincing evidence that the roulette wheel is operating correctly. Because the P-value of 0.1333 is > 0.05, we reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the x² of 6.599 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly.
Transcribed Image Text:Casinos are required to verify that their games operate as advertised. American roulette wheels have 38 slots-18 red, 18 black, and 2 green. In one casino, managers record data from a random sample of 200 spins of one of their American roulette wheels. The table displays the results. Color Count Red 85 Black 99 Green 16 The managers have also calculated the expected counts for each color: Red = 94.74, Black = 94.74, Green= 10.53, and calculated a test statistic of x² = 4.03 and P-value of 0.1333. 2 What conclusion would you draw about whether or not the roulette wheel is operating correctly? Because the P-value of 0.1333 is > 0.05, we accept Ho. We do have convincing evidence that the roulette wheel is operating correctly. Because the P-value of 0.1333 is > 0.05, we reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do have convincing evidence that the roulette wheel is not operating correctly. Because the x² of 6.599 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly. Because the P-value of 0.1333 is > 0.05, we fail to reject Ho. We do not have convincing evidence that the roulette wheel is not operating correctly.
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