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Created: May 13, 2016
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Proportion Analysis Joshua Scheer
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The data for Proportion:

The question for the data: If your a teen do you own a smart phone?

Data set 1. Subset of Scheer proportion   [Info]
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The data for Mean: At what age will you pay off your student debts if you have any at all after you are done with school?

Data set 2. Subset of Scheer Mean   [Info]
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Population Proportion:

Frequency:

 

Result 7: Bar Plot With Data frequeny   [Info]
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Relative Frequency:

 

Result 6: Bar Plot With Data relative frequency   [Info]
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Pie Chart:

 

Result 1: Pie Chart scheer proportion   [Info]
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Sample Proprotion:

 

Result 5: proportion yes   [Info]
Hypothesis test results:
Outcomes in : Scheer Proportion
Success : Yes
p : Proportion of successes
H0 : p = 0.75
HA : p ≠ 0.75
VariableCountTotalSample Prop.Std. Err.Z-StatP-value
Scheer Proportion28290.965517240.080408442.68028130.0074

90%, 95%, 99% confidence interval for population proportion:

Result 2: One Sample Prop. Summary 99   [Info]
99% confidence interval results:
p : Proportion of successes
Method: Standard-Wald
ProportionCountTotalSample Prop.Std. Err.L. LimitU. Limit
p27280.964285710.0350707320.873949491.0546219

Result 3: One Sample Prop. Summary 95%   [Info]
95% confidence interval results:
p : Proportion of successes
Method: Standard-Wald
ProportionCountTotalSample Prop.Std. Err.L. LimitU. Limit
p27280.964285710.0350707320.895548341.0330231

Result 4: One Sample Prop. SummarY 90%   [Info]
90% confidence interval results:
p : Proportion of successes
Method: Standard-Wald
ProportionCountTotalSample Prop.Std. Err.L. LimitU. Limit
p27280.964285710.0350707320.906599491.0219719

The hypothesis for the data:

Hο: p=.75

H1: p≠.75

sampling distribution of the sample proportion is:

- Shape: bell shaped

- Mean: 0.96551724

- Standard deviation: 0.08040844

Conduction a Hypothesis test at the α=.05 level of significance, the results are:

Result 5: proportion yes   [Info]
Hypothesis test results:
Outcomes in : Scheer Proportion
Success : Yes
p : Proportion of successes
H0 : p = 0.75
HA : p ≠ 0.75
VariableCountTotalSample Prop.Std. Err.Z-StatP-value
Scheer Proportion28290.965517240.080408442.68028130.0074

Since the P-Value is less than α=.05, we reject teh Hο because it is less. If you change the α=.01, then the conclusionis our hypothesis would not change. We should still reject Hο, because teh P-Value is still less than α=.01

 

Mean

Frequency distribution:

 

Result 12: Frequency Table mean   [Info]
Frequency table results for Scheer Mean:
Count = 33
Scheer MeanRelative Frequency
00.060606061
0.10.03030303
10.21212121
240.03030303
250.18181818
270.03030303
300.18181818
350.18181818
360.03030303
500.060606061

Relative frequency distribution:

 

Result 13: Relative Frequency Table   [Info]
Frequency table results for Scheer Mean:
Count = 33
Scheer MeanRelative Frequency
00.060606061
0.10.03030303
10.21212121
240.03030303
250.18181818
270.03030303
300.18181818
350.18181818
360.03030303
500.060606061

Frquency Histogram:

 

Result 8: Histogram frequency mean   [Info]
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Relative frequency Histogram:

 

Result 9: Histogram relative frequency mean   [Info]
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Sample mean and sample st. dev.:

 

Result 10: Summary Stats mean and st. dev. for mean   [Info]
Summary statistics:
ColumnMeanStd. dev.
Scheer Mean22.24545515.590083

Boxplot:

 

Result 11: Boxplot mean   [Info]
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90% confidence interval:

 

Result 14: 90% confidence for mean   [Info]
90% confidence interval results:
μ : Mean of variable
VariableSample MeanStd. Err.DFL. LimitU. Limit
Scheer Mean22.2454552.71388513217.64843526.842474

95% confidence interval:

 

Result 15: 95% confidence interval for mean   [Info]
95% confidence interval results:
μ : Mean of variable
VariableSample MeanStd. Err.DFL. LimitU. Limit
Scheer Mean22.2454552.71388513216.71745227.773458

99% confidence interval:

 

Result 16: 99% confidence interval mean   [Info]
99% confidence interval results:
μ : Mean of variable
VariableSample MeanStd. Err.DFL. LimitU. Limit
Scheer Mean22.2454552.71388513214.81353129.677379

Hypothesis test for the data:

Hο: μ=41

H1: µ=41

sampling distrubiton of the sample mean is:

Shape: bell shaped

Mean: 22.245455

Standard Deviation: 15.590083

Conducting a hypothesis test at the α=.05 level of significance, the results are:

Result 17: mean hypothesis test   [Info]
Hypothesis test results:
μ : Mean of variable
H0 : μ = 41
HA : μ > 41
VariableSample MeanStd. Err.DFT-StatP-value
Scheer Mean22.2454552.713885132-6.91058941

since the P-Value is greater than α=.05, we reject teh Hο becasue it is greater. If you change the α=.01, the the conclusion of the hypothesis would not change. We would not rejecct the P-Value is greater than α=.01

 

 

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<A href="https://www.statcrunch.com/5.0/viewreport.php?reportid=59523">Proportion Analysis Joshua Scheer</A>


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