# statistics

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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) : n1 = 93, x1 = 61
High School Grads (Pop. 2) : n2 = 98, x2 = 58

Is there evidence, at a α = 0.013 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

C. Your decision for the hypothesis test:

*******How do I do this without standard devations? I was going to do a hypothesis test with two independent means but how can I?

*****ALSO**** what is the formula to find p values? I usually just compare them to the Z score andt eh Z star...

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