9.5 Hypothesis Testing A car dealer at Acme Motors claims that the average price of cars on his lot is not equal to $14100. Assuming that the population is normally distributed and the population standard deviation is $502. Test the dealer's claim at a 0.2 significance level. a.) The null and alternative hypothesis would be: Ho:p = 14100 Ho: / = 14100 Ho:p = 14100 Ha:p > 14100 Ha :p 14100 Ha: p # 14100 O O O b.) The test is: left-tailed two-tailed right-tailed O Based on a sample of 76 cars, you find the average price of the sample of cars on the lot to be $13678 c.) This hypothesis test is for the... O Mean with the population standard deviation known using the Z-test statistic O Mean with the poulation standard deviation known using the t-test statistic O Mean with the population standard deviation unknown using the Z-test statistic OProportion using the Z-test statistic O Proportion using the t-test statistic Mean with the population standard deviation unknown using the t-test statisticd.) The test statistic is: (to 2 decimals) e.) At a = 0.2, the critical value is: (to 3 decimals) f.) Based on this we: O Fail to reject the null hypothesis. There is NOT enough evidence to reject the car dealer's claim that the average price of cars on his lot is not equal to $14100 O Fail to reject the null hypothesis. There is NOT enough evidence to support the car dealer's claim that the average price of cars on his lot is not equal to $14100 O Reject the null hypothesis. There is enough evidence to support the car dealer's claim that the average price of cars on his lot is not equal to $14100 O Reject the null hypothesis. There is enough evidence to reject the car dealer's claim that the average price of cars on his lot is not equal to $141009.5 Hypothesis Testing The principal of East High School tells the district school board that the average SAT score for his students is less than 1300 . Assuming that the population is normally distributed. Test the principal's claim at a .05 significance level. a.) The null and alternative hypothesis would be: Ho:/ = 1300 Ho:p = 1300 Ho: / = 1300 Ha:p > 1300 Ha :p # 1300 H. : 1300 O O b.) The test is: left-tailed two-tailed right-tailed O O Based on a sample of 21 SAT scores, you find the average score to be 1270 with a sample standard deviation of 147 c.) This hypothesis test is for the... O Mean with the population standard deviation known using the Z-test statistic O Mean with the population standard deviation unknown using the t-test statistic O Mean with the population standard deviation unknown using the Z-test statistic O Mean with the poulation standard deviation leman naing that bank atatintinMean with the population standard deviation known using the Z-test statistic O Mean with the population standard deviation unknown using the t-test statistic O Mean with the population standard deviation unknown using the Z-test statistic O Mean with the poulation standard deviation known using the t-test statistic O Proportion using the Z-test statistic O Proportion using the t-test statistic d.) The test statistic is: (to 2 decimals) e.) At o = .05, the critical value is: (to 3 decimals) f.) Based on this we: O Fail to reject the null hypothesis. There is NOT enough evidence to support the principal's claim that the average SAT score is less than 1300 O Fail to reject the null hypothesis. There is NOT enough evidence to reject the principal's claim that the average SAT score is less than 1300 O Reject the null hypothesis. There is enough evidence to reject the principal's claim that the average SAT score is less than 1300 O Reject the null hypothesis. There is enough evidence to support the principal's claim that the average SAT score is less than 1300U 9.5 Hypothesis Testing A realtor claims that the percentage of home ownership in Springfield is greater than 60%. At the 01 significance level, test her claim. a.) The null and alternative hypothesis would be: Ho:p =0.6 Ho:p =0.6 Ho: / = 0.6 Ha:p # 0.6 Ha :p > 0.6 H. : p > 0.6 O O O Ho:u =0.6 Ho:p = 0.6 Ha: u # 0.6 Ha :p