In a random sample of 100 patients with biopsy-confirmed breast cancer, a study examines cancer detection rates

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In a random sample of 100 patients with biopsy-confirmed breast cancer, a study examines cancer detection rates with 50 previously collected, two-dimensional (2D) mammograms compared to detection rates in 50 previously collected, three-dimensional (3D) mammograms. The alpha selected for this pilot study is 0.10, and the power is 0.80.

In a larger study with the same parameters, 2D mammograms detected 75% of cancers and 3D mammograms detected 91% of cancers with a p = 0.01. What decision should the researcher make about the null hypothesis?

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