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In: Statistics and Probability

Write out the null and alternative hypotheses for the following hypothetical proposal. Carry out a one-sample...

Write out the null and alternative hypotheses for the following hypothetical proposal. Carry out a one-sample Z test to determine significance at the α=0.05 level.

PROPOSAL

In the field of cancer epidemiology, many researchers are interested in developing risk measurement assays that are intended to influence the screening process for prevention of late stage and metastatic cancers. Parity, or the number of children that a woman has over her lifetime, is associated with the overall risk of breast cancer in women. Suppose that a researcher gathers a SRS of 135 women, and calculates an average of 3.2 births for the variable parity. Assume that women who give birth less than 4 times are at a 1.3 times increased risk for developing breast cancer. Does this researcher have sufficient evidence to claim that women in his population are at an increased risk for the disease? Use a population standard deviation of 0.37 births based on former research.

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