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 sample sizes and number of each group answering “yes” are given below:
College Grads (Pop. 1):High School Grads (Pop. 2):n1=99,n2=100,x1=71,x2=51
Is there evidence, at an α=0.073 level of significance, to support the claim of higher name recognition among college graduates? Carry out an appropriate hypothesis test, filling in the information requested.
A. The value of the standardized test statistic:
B. The p-value is
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