1-Proportion / 2-Proportion / 3 or more Proportions – Use Chi Square Goodness of Fit Procedure
Mars Company claims that in every bag of milk chocolate M&Ms, there is 13% brown M&M’s.
Is this true? / Mars Company claims that in every bag of milk chocolate M&Ms, there is the same percentage of brown M&Ms as there are red M&Ms.
Is this true? / Mars Company claims that in every bag of milk chocolate M&Ms, there are
13% brown
13% red
20% orange
24% blue
14% green
14% yellow
Is this true or is at least one of these percentage claims wrong?
Ho: p = 0.13
Ha: p ≠ 0.13
Where p is the true, unknown proportion of all brown M&Ms in all bags of milk chocolate M&Ms / Ho: pbrown = pred
Ha: pbrown ≠ pred
Where p is the true, unknown proportion of all brown and all red M&Ms in all bags of milk chocolate M&Ms / Ho: pbrown = 0.13, pred = 0.13, porange = 0.20, pblue = 0.24, pgreen = 0.14, pyellow = 0.14
Ha: At least one of these percentages is different from the claim.
Stat Crunch Procedure:
Stat, proportion stats, one sample / Stat Crunch Procedure:
Stat, proportion stats, two sample / Stat Crunch Procedure:
Stat, Goodness of Fit Test, Chi Square
1-Mean / 2-Means / 3 or more Means – Use ANOVA Procedure
Researchers claim that, on average, people access google (do a google search) about five times per day. I think the actual number is higher.
Which is true? / Researchers claim that, on average, females access google (do a google search) about the same number of times per day as males. I think females do a google search, on average, a different number of times per day as compared to males.
Is this true? / Researchers claim that, on average, teens, young adults, middle age people, and the elderly access google (do a google search) about the same number of times per day. I think at least one of the groups, on average, accesses google a different number of times per day.
Is this true?
Ho: µ = 5
Ha: µ > 5
Where µ is the true, unknown population mean number of times all people access google (do a google search) per day / Ho: µfemales = µmales
Ha: µfemales ≠ µmales
Where µfemales is the true, unknown population mean number of times all females access google (do a google search) per day and µmales is the true, unknown population mean number of times all males access google (do a google search) per day. / Ho: µteens = µyoung adults = µmiddle age = µelderly
Ha: At least one of these means is different
Where µteens is the true, unknown population mean number of times all teens access google (do a google search) per day and µyoung adults is the true, unknown population mean number of times all young adults access google (do a google search) per day, etc. (define all)
Stat Crunch Procedure:
Stat, t-stat, one sample / Stat Crunch Procedure:
Stat, t-stat, two sample / Stat Crunch Procedure:
Stat, ANOVA, one way

Other inference procedures include:

Confidence intervals (for 1-proportion, 2-proportions, 1-mean, 2-means), Inference for Regression (hypothesis tests and confidence intervals), Chi-Square Test of Independence, Chi-Square Test for Homogeneity