Goodness of Fit Test(s)

Data Summary and Diagnostics: Color

Color	Observed Count	Expected Count	Observed Proportion	Expected Proportion
Orange	50	44	0.28409	0.25
Pink	41	44	0.23295	0.25
Red	41	44	0.23295	0.25
Yellow	44	44	0.25	0.25

Null probabilities not specified by user set to 0

Chi-Squared Goodness of Fit Test

Research Hypothesis H_a: Population proportions of Color are different from the expected distribution

Observed Test Statistic	Degrees of Freedom	P-Value
1.22727	3	0.74647

Test is not significant at the 5% significance level

P-Value Graph:
Method: Chi-Squared Goodness of Fit Test

Null Density: Chi-Squared; df = 3
Null Hypothesis H0: The data agree with the proposed distribution of Color

, The graph shows the distribution of Chi-Squared Values , Observed Chi-Squared Value = 1.2273 , P-Value = 0.74647

Critical Region Graph:
Method: Chi-Squared Goodness of Fit Test

Null Density: Chi-Squared; df = 3
Null Hypothesis H0: The data agree with the proposed distribution of Color

, The graph shows the distribution of Chi-Squared Values , Observed Chi-Squared Value = 1.2273 , Critical Region for alpha = 5%
critical value = 7.8147

Chi-Squared Goodness of Fit Test by Simulation

Random generator seed = 100

Observed Test Statistic	P-Value	Number of Simulations
1.22727	0.7640	10000

Test is not significant at the 5% significance level

Chi-Squared Goodness of Fit Test by Simulation: Graph

, The graph shows the distribution of simulated Chi-Squared Values , Observed Chi-Squared Value = 1.2273 , P-Value = 0.764 , Critical boundary for alpha = 5% ,
Critical value = 7.8182 , Number of simulations = 10000 , Random generator seed = 100