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 drive fatalities related to alcohol is less than 77% in Kit Carson County? Use a = 0.10. (a) What is the level of significance? 0.10 State the null and alternate hypotheses. O Hg: p = 0.77; Hạ: p < 0.77 O Hg: p < 0.77; H: p = 0.77 O Ho: p = 0.77; H: p + 0.77 O Ho: p = 0.77; H: p > 0.77 (b) What sampling distribution will you use? 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. What is the value of the sample test statistic? (Round your answer to two decimal places.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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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?
0.10
State the null and alternate hypotheses.
O Hg: p = 0.77; Hạ: p < 0.77
O Hg: p < 0.77; H: p = 0.77
O Ho: p = 0.77; H: p + 0.77
O Ho: p = 0.77; Hị: p > 0.77
(b) What sampling distribution will you use?
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.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
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? 0.10 State the null and alternate hypotheses. O Hg: p = 0.77; Hạ: p < 0.77 O Hg: p < 0.77; H: p = 0.77 O Ho: p = 0.77; H: p + 0.77 O Ho: p = 0.77; Hị: p > 0.77 (b) What sampling distribution will you use? 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. What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
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