In the year 2000, the average car had a fuel economy of 24.6MPG. You are curious as to whether the average in the present dayis greater than the historical value. The hypotheses for thisscenario are as follows: Null Hypothesis: μ ≤ 24.6, AlternativeHypothesis: μ > 24.6. If the true average fuel economy today is39.2 MPG and the null hypothesis is rejected, did a type I, typeII, or no error occur?
Question 16 options:
| 1) | We do not know the p-value, so we cannot determine if an errorhas occurred. |
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| 2) | Type II Error has occurred |
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| 3) | We do not know the degrees of freedom, so we cannot determineif an error has occurred. |
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| 5) | Type I Error has occurred. |
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As of 2012, the proportion of students who use a MacBook astheir primary computer is 0.46. You believe that at your universitythe proportion is actually less than 0.46. The hypotheses for thisscenario are Null Hypothesis: p ≥ 0.46, Alternative Hypothesis: p< 0.46. You conduct a random sample and run a hypothesis testyielding a p-value of 0.2017. What is the appropriate conclusion?Conclude at the 5% level of significance.
Question 15 options:
| 1) | We did not find enough evidence to say a significant differenceexists between the proportion of students that use a MacBook astheir primary computer and 0.46 |
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| 2) | The proportion of students that use a MacBook as their primarycomputer is greater than or equal to 0.46. |
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| 3) | The proportion of students that use a MacBook as their primarycomputer is significantly less than 0.46. |
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| 4) | We did not find enough evidence to say the proportion ofstudents that use a MacBook as their primary computer is largerthan 0.46. |
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| 5) | We did not find enough evidence to say the proportion ofstudents that use a MacBook as their primary computer is less than0.46. |
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Does the amount of hazardous material absorbed by the bodies ofhazardous waste workers depend on gender? The level of lead in theblood was determined for a sample of men and a sample of women whodispose of hazardous waste as a full time job. You want to test thehypotheses that the amount absorbed by men is greater than theamount absorbed by women. After performing a hypothesis test fortwo independent samples, you see a p-value of 0.3307. Of thefollowing, which is the appropriate conclusion?
Question 14 options:
| 1) | The average amount of lead absorbed by men is significantlygreater than the average amount of lead absorbed by women. |
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| 2) | We did not find enough evidence to say the average amount oflead absorbed by men is greater than the average amount of leadabsorbed by women. |
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| 3) | The average amount of lead absorbed by men is less than orequal to the average amount of lead absorbed by women. |
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| 4) | We did not find enough evidence to say a significant differenceexists between the average amount of lead absorbed by men and theaverage amount of lead absorbed by women. |
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| 5) | We did not find enough evidence to say the average amount oflead absorbed by men is less than the average amount of leadabsorbed by women. |
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Suppose the national average dollar amount for an automobileinsurance claim is $745.252. You work for an agency in Michigan andyou are interested in whether or not the state average is greaterthan the national average. The hypotheses for this scenario are asfollows: Null Hypothesis: μ ≤ 745.252, Alternative Hypothesis: μ> 745.252. A random sample of 100 claims shows an average amountof $757.836 with a standard deviation of $86.2777. What is the teststatistic and p-value for this test?
Question 13 options:
| 1) | Test Statistic: 1.459, P-Value: 0.0739 |
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| 2) | Test Statistic: 1.459, P-Value: 0.9261 |
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| 3) | Test Statistic: -1.459, P-Value: 0.0739 |
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| 4) | Test Statistic: 1.459, P-Value: 0.1478 |
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| 5) | Test Statistic: -1.459, P-Value: 0.9261 |
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