A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 106 responded that they drive an American-made automobile. Determi majority of those with a valid driver's license drive an American-made automobile at the x = 0.05 level of significance. OC. Continuous D. Qualitative with two possible outcomes What type of hypothesis test is appropriate to conduct for this research? A. Hypothesis test on a population proportion OB. Hypothesis test on a population mean OC. Hypothesis test on a population standard deviation Determine the null and alternative hypotheses. Ho: P = 0.5 H₁: p > 0.5 (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? O A. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. OB. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied. OC. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied. O D. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 9E
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A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 106 responded that they drive an American-made automobile. Determine if a
majority of those with a valid driver's license drive an American-made automobile at the α = 0.05 level of significance.
C. Continuous
D. Qualitative with two possible outcomes
What type of hypothesis test is appropriate to conduct for this research?
A. Hypothesis test on a population proportion
B. Hypothesis test on a population mean
C. Hypothesis test on a population standard deviation
Determine the null and alternative hypotheses.
Ho: P
= 0.5
H₁: p > 0.5
(Type integers or decimals. Do not round.)
Which distribution should be used for this hypothesis test?
A. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied.
B. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied.
C. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied.
D. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied.
Transcribed Image Text:A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 106 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drive an American-made automobile at the α = 0.05 level of significance. C. Continuous D. Qualitative with two possible outcomes What type of hypothesis test is appropriate to conduct for this research? A. Hypothesis test on a population proportion B. Hypothesis test on a population mean C. Hypothesis test on a population standard deviation Determine the null and alternative hypotheses. Ho: P = 0.5 H₁: p > 0.5 (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? A. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. B. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied. C. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied. D. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied.
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Follow-up Question
A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 106 responded that they drive an American-made automobile. Deter
majority of those with a valid driver's license drive an American-made automobile at the x = 0.05 level of significance.
¹0.
P
H₁: p > 0.5
(Type integers or decimals. Do not round.)
Which distribution should be used for this hypothesis test?
U.J
A. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied.
B. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied.
C. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied.
D. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied.
Calculate the test statistic.
Test statistic = 0.85
(Round to two decimal places as needed.)
Calculate the P-value.
P-value = 0.198
(Round to three decimal places as needed.)
State the conclusion for the test.
Ho. There
sufficient evidence at the α = 0.05 level of significance to conclude that
of all drivers with a valid driver's license drive an American-made automobile.
Transcribed Image Text:A simple random sample of size n = 200 drivers with a valid driver's license is asked if they drive an American-made automobile. Of the 200 drivers surveyed, 106 responded that they drive an American-made automobile. Deter majority of those with a valid driver's license drive an American-made automobile at the x = 0.05 level of significance. ¹0. P H₁: p > 0.5 (Type integers or decimals. Do not round.) Which distribution should be used for this hypothesis test? U.J A. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied. B. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied. C. The chi-square distribution because the parameter is o or o², and the model conditions are satisfied. D. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied. Calculate the test statistic. Test statistic = 0.85 (Round to two decimal places as needed.) Calculate the P-value. P-value = 0.198 (Round to three decimal places as needed.) State the conclusion for the test. Ho. There sufficient evidence at the α = 0.05 level of significance to conclude that of all drivers with a valid driver's license drive an American-made automobile.
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