Unformatted text preview: One Sample Hypothesis Test for the Mean
Null Hypothesis Level of Significance Sample Size Sample Mean Standard Deviation Test Statistic (Computed) = 1 0.01 50 1 0.02 1.77 There isn't enough evidence that the mean amount of the paint cans is Direction of Test TwoTailed Test 1: <> 1 UpperTail Test 1: > 1 LowerTail Test 1: < 1 Lower Crit Value 2.5758 Upper Crit Value 2.5758 n/a 2.3263 2.3263 n/a If you REJECT the null hypothesis, conclude that H1 is true. If you DO NOT REJECT the null hypothesis, there is insufficient evidence to conclude that H1 NEVER conclude that the null hypothesis is true (i.e., we CANNOT ACCEPT the null). 2007 DrJimMirabella.com gh evidence that the mean amount of the paint cans is different from 1 gallon. Since we can't reject the null hypothesis, H1 can't be true. pValue 0.0771 Decision Do not reject the null hypothesis 0.9615 Do not reject the null hypothesis 0.0385 Do not reject the null hypothesis hypothesis, conclude that H1 is true. , there is insufficient evidence to conclude that H1 is true. thesis is true (i.e., we CANNOT ACCEPT the null). othesis, H1 can't be true. One Sample Hypothesis Test for the Mean
Null Hypothesis Level of Significance Sample Size Sample Mean Standard Deviation Test Statistic (Computed) = 3.55 0.05 100 3.18 1.1 3.36 Since the pvalue in the lowertailed direction of the test is less th Direction of Test TwoTailed Test 1: <> 3.55 UpperTail Test 1: > 3.55 LowerTail Test 1: < 3.55 Lower Crit Value 1.9600 Upper Crit Value 1.9600 pValue 0.0008 n/a 1.6449 0.9996 1.6449 n/a 0.0004 If you REJECT the null hypothesis, conclude that H1 is true. If you DO NOT REJECT the null hypothesis, there is insufficient evidence to conclude that H1 is NEVER conclude that the null hypothesis is true (i.e., we CANNOT ACCEPT the null). 2007 DrJimMirabella.com ection of the test is less than the level of significance, the null hypothesis will be rejected. This information gives us significant evidence tha Decision Reject the null hypothesis Do not reject the null hypothesis Reject the null hypothesis 1 is true. e to conclude that H1 is true. OT ACCEPT the null). on gives us significant evidence that the wait time will be less than 3.55 minutes. One Sample Hypothesis Test for the Proportion
Null Hypothesis Level of Significance Number of Successes Sample Size Sample Proportion Z Test Statistic (Computed) P= 0.85 0.05 180 200 0.90 1.95 There is evidence given that the claims processed Direction of Test TwoTailed Test H1: P <> 0.851 UpperTail Test H1: P > 0.851 LowerTail Test H1: P < 0.851 Lower Crit Value 1.9600 Upper Crit Value 1.9600 (computed from Successes / Sample Size) n/a 1.6449 1.6449 n/a If you REJECT the null hypothesis, conclude that H1 is true. If you DO NOT REJECT the null hypothesis, there is insufficient evidence to conclude th NEVER conclude that the null hypothesis is true (i.e., we CANNOT ACCEPT the 2007 DrJimMirabella.com Successes / Sample Size) e given that the claims processed under the new system is higher than the previous used system. The sample proportion is higher than the pValue 0.0516 Decision Do not reject the null hypothesis 0.0258 Reject the null hypothesis 0.9742 Do not reject the null hypothesis conclude that H1 is true. ufficient evidence to conclude that H1 is true. e (i.e., we CANNOT ACCEPT the null). ample proportion is higher than the original 85.1% and the information is found within the uppertailed direction of the test. tion of the test. One Sample Hypothesis Test for the Mean
Null Hypothesis Level of Significance Sample Size Sample Mean Standard Deviation Test Statistic (Computed) = 100 0.05 75 93.7 34.55 1.58 There isn't enough evidence that supports that the mean reimbu Direction of Test TwoTailed Test 1: <> 100 UpperTail Test 1: > 100 LowerTail Test 1: < 100 Lower Crit Value 1.9600 Upper Crit Value 1.9600 pValue 0.1143 n/a 1.6449 0.9428 1.6449 n/a 0.0572 If you REJECT the null hypothesis, conclude that H1 is true. If you DO NOT REJECT the null hypothesis, there is insufficient evidence to conclude that H1 is t NEVER conclude that the null hypothesis is true (i.e., we CANNOT ACCEPT the null). 2007 DrJimMirabella.com supports that the mean reimbursement was less than $100. Decision Do not reject the null hypothesis Do not reject the null hypothesis Do not reject the null hypothesis t H1 is true. ence to conclude that H1 is true. NNOT ACCEPT the null). One Sample Hypothesis Test for the Proportion
Null Hypothesis Level of Significance Number of Successes Sample Size Sample Proportion Z Test Statistic (Computed) P= 0.1 0.05 12 75 0.16 1.73 (computed from Successes / Sample Size) Yes, there is evidence that the proportion of incorrect reimbu Direction of Test TwoTailed Test H1: P <> 0.1 UpperTail Test H1: P > 0.1 LowerTail Test H1: P < 0.1 Lower Crit Value 1.9600 Upper Crit Value 1.9600 n/a 1.6449 1.6449 n/a If you REJECT the null hypothesis, conclude that H1 is true. If you DO NOT REJECT the null hypothesis, there is insufficient evidence to conclude that H1 NEVER conclude that the null hypothesis is true (i.e., we CANNOT ACCEPT the null). 2007 DrJimMirabella.com m Successes / Sample Size) vidence that the proportion of incorrect reimbursements in the population is greater than 0.10. The uppertailed direction of the test support pValue 0.0833 Decision Do not reject the null hypothesis 0.0416 Reject the null hypothesis 0.9584 Do not reject the null hypothesis hesis, conclude that H1 is true. is insufficient evidence to conclude that H1 is true. is true (i.e., we CANNOT ACCEPT the null). rabella.com ed direction of the test supports the evidence of this claim. ...
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 Spring '08
 UKN
 Null hypothesis, Statistical hypothesis testing, $100, 1 gallon, othesis, 3.55 minutes

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