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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 53 records of automobile driver fatalities in a certain county showed that 33 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 α - 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.77; H1: p + 0.77 O Ho: p < 0.77; Hi: p = 0.77 O Ho: p = 0.77; Hi: p > 0.77 O Ho: p = 0.77; Hi: p < 0.77 (b) What sampling distribution will you use? O The Student's t, 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 standard normal, 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.)

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 53 records of automobile driver fatalities in a certain county showed that 33 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 α - 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.77; H1: p + 0.77 O Ho: p < 0.77; Hi: p = 0.77 O Ho: p = 0.77; Hi: p > 0.77 O Ho: p = 0.77; Hi: p < 0.77 (b) What sampling distribution will you use? O The Student's t, 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 standard normal, 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.)

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 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 53 records of automobile driver fatalities in a certain county showed that 33 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 = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.77; H1: p = 0.77 O Ho: p < 0.77; H1: p = 0.77 O Ho: p = 0.77; H1: p > 0.77 O Ho: p = 0.77; H1: p < 0.77 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The standard normal, since np > 5 and ng > 5. The Student's t, since np < 5 and nq < 5. O The standard normal, 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 53 records of automobile driver fatalities in a certain county showed that 33 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 = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.77; H1: p = 0.77 O Ho: p < 0.77; H1: p = 0.77 O Ho: p = 0.77; H1: p > 0.77 O Ho: p = 0.77; H1: p < 0.77 (b) What sampling distribution will you use? O The Student's t, since np > 5 and ng > 5. O The standard normal, since np > 5 and ng > 5. The Student's t, since np < 5 and nq < 5. O The standard normal, 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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