22 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, 119 responded that they drive an American-made automobile. Determine if a majority ofthose with a valid driver's license drive an American-made automobile at the a = 0.05 level of significance......What type of variable is "drive an American-made automobile, or not"?A. Qualitative with more than two possible outcomesB. Qualitative with two possible outcomesC. ContinuousD. DiscreteWhat type of hypothesis test is appropriate to conduct for this research?O A. Hypothesis test on a population standard deviationB. Hypothesis test on a population meanO c. Hypothesis test on a population proportionDetermine the null and alternative hypotheses.Ho:H1:(Type integers or decimals. Do not round.)Which distribution should be used for this hypothesis test?A. The Student's t-distribution because the parameter is the mean, o is not known, and the model conditions are satisfied.O B. The normal distribution because the parameter is the mean, o is known, and the model conditions are satisfied.C. The normal distribution because the parameter is a proportion, p, and the model conditions are satisfied.D. The chi-square distribution because the parameter is o or oʻ, and the model conditions are satisfied. 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 200drivers surveyed, 119 responded that they drive an American-made automobile. Determine if a majority of those with a valid driver's license drivean American-made automobile at the a = 0.05 level of significance......Calculate the test statistic.Test statistic =(Round to two decimal places as needed.)Calculate the P-value.P-value =(Round to three decimal places as needed.)State the conclusion for the test.Ho.Theresufficient evidence at the a = 0.05 level of significance to conclude thatof all drivers with avalid driver's license drive an American-made automobile.

Solution: Given information: n= 200 Sample size x =119 success p^=xn=119200= 0.595 Sample proportion p= 0.50 Population proportion α=0.05 Level of significance Type of variabe: Qualitative with two possible outcomes. Option B is Correct Type of hypothesis test: Hypothesis test on a population proportion. Option C is Correct The null and alternative hypothesis are Ho:p=0.50 Vs H1:p>0.50 Type of distribution: The normal distribution because the parameter is proportion p and the model conditions are satisfied. Option C is Correct Test statistic z=p^-pp×(1-p)nz =0.595-0.500.50×0.50200z=0.595-0.500.25200z=0.595-0.500.00125z=0.0950.035355= 2.6870z=2.69 Test statistic z = 2.69 To find p value p value = P( Z> 2.69) p value = 1- P(Z< 2.69) p value = 1 - 0.99643 From Z table p value = 0.00357 p value = 0.004 The p value for the test is 0.004 Decision: Reject Ho since P value < α=0.05 Conclusion: Reject Ho. There is sufficient evidence at the α=0.05 level of significance to conclude that majority of all drivers with a valid drivers license drive an American made automobile.