Do popular cartoon characters on food packages influence children\'s food choice
ID: 3156616 • Letter: D
Question
Do popular cartoon characters on food packages influence children's food choices? A study asked 39 young children (ages four to six) to taste graham crackers presented in a package either with or without a popular cartoon character. When asked to indicate which of the two options they would prefer to eat for a snack, 34 chose the version with a cartoon on the package.
(a) Estimate (±0.001) with 95% confidence the proportion of young children who prefer graham crackers packaged with popular cartoon images.
The 95% confidence that the proportion of young children who prefer graham crackers packaged with popular cartoon images is
from to .
(b) Is this evidence significant at =0.01 that young children prefer snacks packaged with popular cartoon images more than chance alone would explain?
z (±0.001) =
Conclusion:
NOTE: The numerical values in this problem have been modified for testing purposes.Do popular cartoon characters on food packages influence children's food choices? A study asked 39 young children (ages four to six) to taste graham crackers presented in a package either with or without a popular cartoon character. When asked to indicate which of the two options they would prefer to eat for a snack, 34 chose the version with a cartoon on the package.
(a) Estimate (±0.001) with 95% confidence the proportion of young children who prefer graham crackers packaged with popular cartoon images.
The 95% confidence that the proportion of young children who prefer graham crackers packaged with popular cartoon images is
from to .
(b) Is this evidence significant at =0.01 that young children prefer snacks packaged with popular cartoon images more than chance alone would explain?
H0:p=0.5 versus Ha:p<0.5 H0:p=0.5 versus Ha:p0.5 H0:p=0.5 versus Ha:p>0.5z (±0.001) =
Conclusion:
This is evidence significant at =0.01 that young children prefer snacks packaged with popular cartoon images more than chance alone would explain This is no evidence significant at =0.01 that young children prefer snacks packaged with popular cartoon images more than chance alone would explainExplanation / Answer
In this study, 34 out of 39 children preferred to have snacks packaged with popular cartoon. Hence, the binom.test in R software runs as below:
> binom.test(x=34,n=39)
Exact binomial test
data: 34 and 39
number of successes = 34, number of trials = 39, p-value = 2.43e-06
alternative hypothesis: true probability of success is not equal to 0.5
95 percent confidence interval:
0.7257006 0.9570317
sample estimates:
probability of success
0.8717949
Now, we answer the questions asked.
a) Estimate (±0.001) with 95% confidence the proportion of young children who prefer graham crackers packaged with popular cartoon images.
The 95% confidence that the proportion of young children who prefer graham crackers packaged with popular cartoon images is from 0.7257 to 0.9570.
(b) Is this evidence significant at =0.01 that young children prefer snacks packaged with popular cartoon images more than chance alone would explain?
Since the p-value is 0.00 (upto two digits accuracy), we have significant evidence at =0.01 that young children prefer snacks packaged with popular cartoon images .
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