Imagine that a researcher develops a new cancer drug that shrinks tumors, which she measures using...
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Imagine that a researcher develops a new cancer drug that shrinks tumors, which she measures using an MRI. The researcher needs to determine if the new drug performs differently from, or the same as, the current goldstandard drug therapy which shrinks tumor diameter by an average of 0.1 mm. After performing an experiment to test the new drug on a group of 6399 cancer patients, the researcher analyzes the measurements of tumor shrinkage by using a onesample ztest for a mean at the significance level of a =0.05, with power of 0.94. Assume that the researcher knows the standard deviation of tumor reduction is o = 2.5 mm, perhaps from previous studies with similar populations. Assuming that in fact the null hypothesis is true and that the new cancer drug shrinks tumors by the same amount as the goldstandard drug, what is the probability that the test will lead the researcher to this decision? Give the probability as a percentage to the nearest whole number. Imagine that a researcher develops a new cancer drug that shrinks tumors, which she measures using an MRI. The researcher needs to determine if the new drug performs differently from, or the same as, the current goldstandard drug therapy which shrinks tumor diameter by an average of 0.1 mm. After performing an experiment to test the new drug on a group of 6399 cancer patients, the researcher analyzes the measurements of tumor shrinkage by using a onesample ztest for a mean at the significance level of a =0.05, with power of 0.94. Assume that the researcher knows the standard deviation of tumor reduction is o = 2.5 mm, perhaps from previous studies with similar populations. Assuming that in fact the null hypothesis is true and that the new cancer drug shrinks tumors by the same amount as the goldstandard drug, what is the probability that the test will lead the researcher to this decision? Give the probability as a percentage to the nearest whole number.
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Related Book For
Elementary Statistics Picturing the World
ISBN: 9780321911216
6th edition
Authors: Ron Larson, Betsy Farber
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