MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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.)
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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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