If a roulette wheel is properly balanced, the ball will land on red 18 out of 38 times or with probability 0.474. A gambler studies a roulette wheel to see if it is unbalanced and he can cheat. He observes 200 spins of the wheel and finds that the ball lands on red 99 times. At the 5% significance level, do the data provide sufficient evidence to conclude that the wheel is unbalanced? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho:? vSelect an answer v (please enter a decimal) Ha:? v| Select an answer v (Please enter a decimal) c. The test statistic ? v= (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly different from 0.474 at a = 0.05, so there is sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the population proportion is not significantly different from 0.474 at a = 0.05, so there is sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the population proportion is not significantly different from 0.474 at a = 0.05, so there is not sufficient evidence to conclude that the wheel is unbalanced.
If a roulette wheel is properly balanced, the ball will land on red 18 out of 38 times or with probability 0.474. A gambler studies a roulette wheel to see if it is unbalanced and he can cheat. He observes 200 spins of the wheel and finds that the ball lands on red 99 times. At the 5% significance level, do the data provide sufficient evidence to conclude that the wheel is unbalanced? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho:? vSelect an answer v (please enter a decimal) Ha:? v| Select an answer v (Please enter a decimal) c. The test statistic ? v= (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? v a f. Based on this, we should Select an answer v the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest the populaton proportion is significantly different from 0.474 at a = 0.05, so there is sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the population proportion is not significantly different from 0.474 at a = 0.05, so there is sufficient evidence to conclude that the wheel is unbalanced. O The data suggest the population proportion is not significantly different from 0.474 at a = 0.05, so there is not sufficient evidence to conclude that the wheel is unbalanced.
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section11.4: Collecting Data
Problem 2E
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Transcribed Image Text:If a roulette wheel is properly balanced, the ball will land on red 18 out of 38 times or with
probability 0.474. A gambler studies a roulette wheel to see if it is unbalanced and he can cheat. He
observes 200 spins of the wheel and finds that the ball lands on red 99 times. At the 5% significance
level, do the data provide sufficient evidence to conclude that the wheel is unbalanced?
a. For this study, we should use Select an answer
b. The null and alternative hypotheses would be:
Ho: ? vSelect an answer v
|(please enter a decimal)
Ha:? v| Select an answer v
(Please enter a decimal)
c. The test statistic ? v =
(please show your answer to 3 decimal places.)
d. The p-value =
(Please show your answer to 4 decimal places.)
e. The p-value is ? v a
f. Based on this, we should Select an answer v the null hypothesis.
g. Thus, the final conclusion is that ...
O The data suggest the populaton proportion is significantly different from 0.474 at a =
0.05, so there is sufficient evidence to conclude that the wheel is unbalanced.
O The data suggest the population proportion is not significantly different from 0.474 at
a = 0.05, so there is sufficient evidence to conclude that the wheel is unbalanced.
O The data suggest the population proportion is not significantly different from 0.474 at
a = 0.05, so there is not sufficient evidence to conclude that the wheel is unbalanced.
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