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Babaian et al. [The Role of Prostate-Specific Antigen as Part of the Diagnostic Triad and as a Guide When to Perform a Biopsy, Cancer ,

"Babaian et al. ["The Role of Prostate-Specific Antigen as Part of the Diagnostic Triad and as a Guide When to Perform a Biopsy", Cancer, 68, (1991)] state that prostate-specific antigen (PSA), found in the ductal epithelial cells of the prostate, is specific for prostatic tissue and is detectable in serum from men with normal prostates and men with either benign or malignant diseases of this gland. They determined the PSA values in a sample of 123 men who underwent a prostate biopsy. Sixty-six of the men had elevated PSA values (> 4 ng/ml). Of these, 45 were diagnosed as having cancer. Ten of the 57 men with PSA values < 4 ng/ml had cancer.

Research Question: Based on these data can we conclude that, in general, men with elevated PSA values are more likely to have prostate cancer?"

With the information given, how do I compute a z-test for comparing two proportions to find the p-value?

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