esearch firm suspects that a particular product has higher name recognition among college graduates than among high school graduates. A sample from each population is selected, and each asked if they have heard of the product in question. A summary of the sample sizes and number of each group answering yes'' are given below: College Grads (Pop. 1): n1=96, x1=62 High School Grads (Pop. 2): n2=83, x2=39 The company making the product is willing to increase marketing targeted at high school graduates if the difference between the two grou
A marketing research firm suspects that a particular product has higher name recognition among college graduates than among high school graduates. A sample from each population is selected, and each asked if they have heard of the product in question. A summary of the
The company making the product is willing to increase marketing targeted at high school graduates if the difference between the two groups is at least 5%. Is there evidence, at an α=0.039α=0.039 level of significance, to support such an increase in marketing? Carry out an appropriate hypothesis test, filling in the information requested.
A. The value of the standardized test statistic:
Note: For the next part, your answer should use interval notation. An answer of the form (−∞,a)(−∞,a) is expressed (-infty, a), an answer of the form (b,∞)(b,∞) is expressed (b, infty), and an answer of the form (−∞,a)∪(b,∞)(−∞,a)∪(b,∞) is expressed (-infty, a)U(b, infty).
B. The rejection region for the standardized test statistic:
C. The p-value is
D. Your decision for the hypothesis test:
A. Do Not Reject H1H1.
B. Reject H0H0.
C. Reject H1H1.
D. Do Not Reject H0H0.
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