Ava's favorite candy is available with or without peanuts. She wonders if the color distribution is the same for both varieties, so she buys some bags of each variety (she's willing to treat these as separate random samples). Here is a summary of the candies in each sample and the results from a chi squared test: Chi-square test: Color vs. variety
Peanuts No peanuts
Red 39 33
Expected 1771 34.91
Yellow 137 140
Expected 29.07 37.33
Green 126 23
Expected 25.24 13.76
X2 = 0.619, DF = 2. P-value = 0.734. Assume that all conditions for inference were met.
At the alpha = 0.05 significance level, what is the most appropriate conclusion to draw from this test? Hint: decide whether this is a test for independence or homogeneity first.
A. This is convincing evidence of an association between color and variety for these candles.
B. This is convincing evidence that the distribution of color differs between these varieties.
C. This isn't enough evidence to say that the distribution of color differs between these varieties.
D. This isn't enough evidence to say there is an association between color and variety for these candies.
A group of 276 healthy men and women were grouped according to their number of relationships. They were then exposed to a virus that caused colde. The data is summarized in the table below. Does the data provide sufficient evidence to indicate that totooptibility to colds is affected by the number of relationships you have?
3 to less 4 to 5 6 or more
relationships relationships relationships
Cold 49 43 34
No cold 31 47 62
What is the P value asociated with these sample resulta?
a. p-val < 0.01.
b. 0.01< p-val < 0.05.
c. 0.05 < p-val < 0.10.
d. 0.10 < p-val < 025.
In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first graders - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or The Simpsons
Viewing Preferences
Lone Sesame The Total
Ranger Street Simpsons
Boys 50 30 20 100
Girls 50 80 70 200
Total 100 110 90 300
Do the boys' preferences for these TV programs differ significantly from the girls' preferences? Which test should we we?
A. Chi-square, Goodness of Fit.
B. Chi-square. Homogeneity.
C. Chl-square, Independence.
D. Population Proportion, z-test.
A group of 276 healthy men and women were grouped according to their number of relationships. They were then exposed to a virus that caused colds. The data is summarized in the table below. Does the data provide suficient evidence to indicate that susceptibility to colds is affected by the number of relationships you have?
3 to less 4 to 5 6 or more
relationships relationships relationships
Cold 49 43 34
No cold 31 47 62
Which test should we use?
A. Chi-square, Goodness of Fit.
B. Chi-square, Independence.
C. Chi-square, Homogeneity.
D. Population Proportion, z-statistics.