Results: InferenceForOneProportion.sas

apple orchard example 95% confidence intervals for p

alpha=.05, p_0=.2

The FREQ Procedure

The Freq Procedure

case=1

Table outcome

One-Way Frequencies

case=1

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
infested 35 17.50 35 17.50
notinfested 165 82.50 200 100.00

Binomial Proportion

Binomial Proportion
outcome = infested
Proportion 0.1750
ASE 0.0269

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.1750
Type 95% Confidence Limits
Wilson 0.1286 0.2336

Binomial Proportion Test

Test of H0: Proportion = 0.2
ASE under H0 0.0283
Z -0.8839
One-sided Pr < Z 0.1884
Two-sided Pr > |Z| 0.3768

apple orchard example 95% confidence intervals for p

alpha=.05, p_0=.2

The FREQ Procedure

case=2

Table outcome

One-Way Frequencies

case=2

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
infested 26 13.00 26 13.00
notinfested 174 87.00 200 100.00

Binomial Proportion

Binomial Proportion
outcome = infested
Proportion 0.1300
ASE 0.0238

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.1300
Type 95% Confidence Limits
Wilson 0.0903 0.1837

Binomial Proportion Test

Test of H0: Proportion = 0.2
ASE under H0 0.0283
Z -2.4749
One-sided Pr < Z 0.0067
Two-sided Pr > |Z| 0.0133

apple orchard example 95% confidence intervals for p

alpha=.05, p_0=.2

The FREQ Procedure

case=3

Table outcome

One-Way Frequencies

case=3

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
infested 45 22.50 45 22.50
notinfested 155 77.50 200 100.00

Binomial Proportion

Binomial Proportion
outcome = infested
Proportion 0.2250
ASE 0.0295

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.2250
Type 95% Confidence Limits
Wilson 0.1726 0.2877

Binomial Proportion Test

Test of H0: Proportion = 0.2
ASE under H0 0.0283
Z 0.8839
One-sided Pr > Z 0.1884
Two-sided Pr > |Z| 0.3768

apple orchard example 95% confidence intervals for p

alpha=.05, p_0=.2

The FREQ Procedure

case=4

Table outcome

One-Way Frequencies

case=4

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
infested 54 27.00 54 27.00
notinfested 146 73.00 200 100.00

Binomial Proportion

Binomial Proportion
outcome = infested
Proportion 0.2700
ASE 0.0314

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.2700
Type 95% Confidence Limits
Wilson 0.2132 0.3354

Binomial Proportion Test

Test of H0: Proportion = 0.2
ASE under H0 0.0283
Z 2.4749
One-sided Pr > Z 0.0067
Two-sided Pr > |Z| 0.0133

apple orchard example 95% confidence intervals for p

alpha=.05, p_0=.2

The FREQ Procedure

case=5

Table outcome

One-Way Frequencies

case=5

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
infested 52 26.00 52 26.00
notinfested 148 74.00 200 100.00

Binomial Proportion

Binomial Proportion
outcome = infested
Proportion 0.2600
ASE 0.0310

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.2600
Type 95% Confidence Limits
Wilson 0.2041 0.3249

Binomial Proportion Test

Test of H0: Proportion = 0.2
ASE under H0 0.0283
Z 2.1213
One-sided Pr > Z 0.0169
Two-sided Pr > |Z| 0.0339

apple orchard example 95% confidence intervals for p

alpha=.05, p_0=.2

The FREQ Procedure

case=6

Table outcome

One-Way Frequencies

case=6

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
infested 45 22.50 45 22.50
notinfested 155 77.50 200 100.00

Binomial Proportion

Binomial Proportion
outcome = infested
Proportion 0.2250
ASE 0.0295

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.2250
Type 95% Confidence Limits
Wilson 0.1726 0.2877

Binomial Proportion Test

Test of H0: Proportion = 0.2
ASE under H0 0.0283
Z 0.8839
One-sided Pr > Z 0.1884
Two-sided Pr > |Z| 0.3768

apple orchard example 95% confidence intervals for p

alpha=.05, p_0=.2

The Print Procedure

Data Set WORK.NEW2

Obs case N phat lowerbound upperbound
1 1 200 0.175 0.12861 0.23364
2 2 200 0.130 0.09028 0.18366
3 3 200 0.225 0.17262 0.28774
4 4 200 0.270 0.21323 0.33543
5 5 200 0.260 0.20414 0.32491
6 6 200 0.225 0.17262 0.28774

acceptance sampling example 95% confidence intervals for p

alpha=.05, p_0=.06

The FREQ Procedure

The Freq Procedure

case=1

Table outcome

One-Way Frequencies

case=1

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
defective 16 8.00 16 8.00
notdefective 184 92.00 200 100.00

Binomial Proportion

Binomial Proportion
outcome = defective
Proportion 0.0800
ASE 0.0192

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.0800
Type 95% Confidence Limits
Wilson 0.0498 0.1260

Binomial Proportion Test

Test of H0: Proportion = 0.06
ASE under H0 0.0168
Z 1.1910
One-sided Pr > Z 0.1168
Two-sided Pr > |Z| 0.2337

acceptance sampling example 95% confidence intervals for p

alpha=.05, p_0=.06

The FREQ Procedure

case=2

Table outcome

One-Way Frequencies

case=2

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
defective 20 10.00 20 10.00
notdefective 180 90.00 200 100.00

Binomial Proportion

Binomial Proportion
outcome = defective
Proportion 0.1000
ASE 0.0212

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.1000
Type 95% Confidence Limits
Wilson 0.0657 0.1494

Binomial Proportion Test

Test of H0: Proportion = 0.06
ASE under H0 0.0168
Z 2.3820
One-sided Pr > Z 0.0086
Two-sided Pr > |Z| 0.0172

acceptance sampling example 95% confidence intervals for p

alpha=.05, p_0=.06

The Print Procedure

Data Set WORK.NEW4

Obs case N phat lowerbound upperbound
1 1 200 0.08 0.049841 0.12599
2 2 200 0.10 0.065670 0.14941

machine parts example 95% confidence interval for p

alpha=.05, p_0=.35

The FREQ Procedure

The Freq Procedure

case=1

Table outcome

One-Way Frequencies

case=1

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
unacceptable 54 27.00 54 27.00
acceptable 146 73.00 200 100.00

Binomial Proportion

Binomial Proportion
outcome = unacceptable
Proportion 0.2700
ASE 0.0314

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.2700
Type 95% Confidence Limits
Wilson 0.2132 0.3354

Binomial Proportion Test

Test of H0: Proportion = 0.35
ASE under H0 0.0337
Z -2.3720
One-sided Pr < Z 0.0088
Two-sided Pr > |Z| 0.0177

machine parts example 95% confidence interval for p

alpha=.05, p_0=.35

The Print Procedure

Data Set WORK.NEW6

Obs case N phat lowerbound upperbound
1 1 200 0.27 0.21323 0.33543

Mendel pea flower color example 95% confidence interval for p

alpha=.05, p_0=.75

The FREQ Procedure

The Freq Procedure

case=1

Table outcome

One-Way Frequencies

case=1

outcome Frequency Percent Cumulative
Frequency		 Cumulative
Percent
red 705 75.89 705 75.89
white 224 24.11 929 100.00

Binomial Proportion

Binomial Proportion
outcome = red
Proportion 0.7589
ASE 0.0140

Binomial Confidence Limits

Confidence Limits for the Binomial Proportion
Proportion = 0.7589
Type 95% Confidence Limits
Wilson 0.7303 0.7853

Binomial Proportion Test

Test of H0: Proportion = 0.75
ASE under H0 0.0142
Z 0.6251
One-sided Pr > Z 0.2660
Two-sided Pr > |Z| 0.5319

Mendel pea flower color example 95% confidence interval for p

alpha=.05, p_0=.75

The Print Procedure

Data Set WORK.NEW8

Obs case N phat lowerbound upperbound
1 1 929 0.75888 0.73034 0.78529