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of 1 Macmillan Learning Use the Statistical Applet The Reasoning of a Statistical Test to answer the question Click NEW SHOOTER then have the new shooter take 5 shots Observe the percentage of hits Now have the same shooter take 10 more shots for a total of 15 Again observe the percentage of hits Finally have the same shooter take at least 35 more shots for a total of 50 or more Observe the percentage of hits Click the Show true probability checkbox to reveal the true probability of hitting a free throw for this shooter Do you feel that the evidence you have seen here allows you to reject the null hypothesis that the shooter makes 80 of all his free throws Do you think it is better to make this decision after seeing 5 15 or 50 shots Select the true statements T It is certainly better to make a decision after seeing 5 shots than after seeing 15 or 50 shots One thing this applet demonstrates is that even after many many observations it is still impossible to know for sure whether or not a null hypothesis should be rejected It is certainly better to make a decision after seeing 15 shots than after seeing 5 or 50 shots It is certainly better to make a decision after seeing 50 shots than after seeing 5 or 15 shots The less shots we see the shooter take the larger the sample size we have to estimate the shooter s true underlying

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