The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 54 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use a - 0.10. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.77; H: p < 0.77 O Họi p < 0.77; H: p = 0.77 O Họ: p = 0.77; H: p * 0.77 O Họ: p- 0.77; H,: p > 0.77 (b) What sampling distribution wll you use? O The standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. O The Student's t, since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 30PPS
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The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A
random sample of 54 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the
population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use a = 0.10.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: P = 0.77; H: p< 0.77
O Họ: p < 0.77; H,: p = 0.77
O Ho: p = 0.77; H: p+ 0.77
O Họ: P = 0.77; H: p> 0.77
(b) What sampling distribution will you use?
O The standard normal, since np > 5 and ng > 5.
O The standard normal, since np < 5 and ng < 5.
O The Student's t, since np < 5 and ng < 5.
O The Student's t, since np > 5 and ng > 5.
Transcribed Image Text:The U.S. Department of Transportation, National Highway Traffic Safety Administration, reported that 77% of all fatally injured automobile drivers were intoxicated. A random sample of 54 records of automobile driver fatalities in a certain county showed that 34 involved an intoxicated driver. Do these data indicate that the population proportion of driver fatalities related to alcohol is less than 77% in Kit Carson County? Use a = 0.10. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P = 0.77; H: p< 0.77 O Họ: p < 0.77; H,: p = 0.77 O Ho: p = 0.77; H: p+ 0.77 O Họ: P = 0.77; H: p> 0.77 (b) What sampling distribution will you use? O The standard normal, since np > 5 and ng > 5. O The standard normal, since np < 5 and ng < 5. O The Student's t, since np < 5 and ng < 5. O The Student's t, since np > 5 and ng > 5.
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