effect size and cohen\'s d Suppose a researcher is trying to understand whether
ID: 3206052 • Letter: E
Question
effect size and cohen's d
Suppose a researcher is trying to understand whether people who purchase fast-food hamburgers would be willing to pay more if the hamburger comes with a free cookie. Prior research suggests the mean amount customers say they are willing to pay for a hamburger is mu = 3.68 and sigma = 0.70. The researcher plans to conduct a study very similar to the prior research by selecting a sample of customers and asking them how much they are willing to pay for the hamburger. Before asking, however, he will tell the customer about the free cookie that will come with the hamburger. The researcher's null hypothesis is that the mean amount the customers are willing to pay when they are told about the free cookie is no different than the amount customers are willing to pay when they are not told they will receive a free cookie. The researcher's sample of 49 customers has a sample mean of M = 4.04. The test statistic for this sample mean is 3.60. Using a significance level of alpha = .05, which of the following is the most appropriate statement of the result? Telling customers they will receive a free cookie with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.68, p .05. Telling customers they will receive a free cookie with their hamburger had a significant effect on the amount they say they are willing to pay for a hamburger, z = 3.60, pExplanation / Answer
Sol:
null hypothesis: mean amount customers are willing to pay when they are told about the free cookie is no different than the amount customers are willing to pay when they are not told they will receive a free cookie.
Alternative Hypothesis:
mean amount customers are willing to pay when they are told about the free cookie is different than the amount customers are willing to pay when they are not told they will receive a free cookie.
level of significance=0.05
n=49
large sample,n>30
z=4.04-3.68/0.70/sqrt(49)
z=3.6
The P-Value is 0.000318.
The result is significant at p < 0.05
z=3.60 p,0.05 has significant effect
Reject Null Hypothesis.
Accept alternative Hypothesis.
OptionC
Cohens D=subtract the means/null population standard deviation
=4.04-3.68/0.70
d =0.51
d=0.5 is its medium
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