1. According to some internet searches by Mrs.Anderson (very scientific, I know), 29% of people say that blue is their favorite color. Is there significant evidence that the proportion of students in Mrs. Anderson's classes is different from the national average? Use a 5% significance level.

Please answer the following questions:

1 Proportion Z Test Conditions: P= P= Random? X= n= Approximately Normal? Ho: Ha: Where p = Test Name What is your decision and conclusion? Z= p-value =1 Proportion Z Test 1. A company with a fleet of 1500 cars found that the emissions systems of 17 out of the 53 randomly selected cars from their fleet failed to meet pollution control guidelines. If a significant number of vehicles are found to be out of compliance, the whole fleet will need to be inspected and brought up to current regulations. Is there strong evidence that more than 20%% of the fleet might be out of compliance? Use a 1%% level of significance. Conditions: 53 : . 32 Random? P= P =_ .2 yes , random sample of x = 17 n= 53 53 cars Approximately Normal? Ho: p = .2 where p= true proportion Mpz10 and n ( 1 - p ) = 10 of cars that are 53 ( 2) 210 53 ( 1 - 12) 210 Ha: pz. 2 out of compliance 10.6 710 42. 4 210 Test Name: 108 2 Test What is your decision and conclusion? $0.014 Since p-value > of (0 014 >0.01 ) we fail to reject ito. There is not enough evidence to P=.2 7#,32 suggest that the true prop. Test statistic Z= 2.198 of cars out of compliance is greater than 0.2. P-value = 0 . 014 Calculator Steps Stat > > Test 5: 1-prop Z Test HORHAL .FLOAT LUNG LEISURE EDIT CALC TESTS 1:2-Test., 2: T-Test. P:19.2 3:2-SampZTest. * 17 pro-20.2 6153 2 2.197765023 4:2-SameTTest =0.013962736 501-PropZTest Color: BLUE #80. 320754717 6:2-PropZTest.. n-59 712Interval.. Calculate Draw 8: TInterval... 942-SameZInt Conclusion: p