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Statistics students were conducting a test to see if people could taste the difference between Coke and Pepsi. They fill two cups with Coke and
Statistics students were conducting a test to see if people could taste the difference between Coke and Pepsi. They fill two cups with Coke and a third with Pepsi. They then asked their subjects which cola tasted different than the other two. Of the 64 people they tested, 22 were able to correctly identify which of the three cups of colas tasted different (i.e., which of the three cups was the Pepsi). With Ho : x = 0.33; Ha : > > 0.33, the p-value was calculated at 0.48. A 2SD confidence interval was calculated as 0.344 + 2(0.058). Is the proportion under the null hypothesis contained in the confidence interval? Explain how this relates to the size of the p-value from part. O No. Because our p-value was smaller than 0.05 the value under the null was found to be implausible; thus it would not be contained in an approximate 95% confidence interval of plausible values. O No. Because our p-value was smaller than 0.05 the value under the null was not found to be implausible; thus it would be contained in an approximate 95% confidence interval of plausible values. O Yes. Because our p-value was larger than 0.05 the value under the null was not found to be plausible; thus it would not be contained in an approximate 95% confidence interval of plausible values. O Yes. Because our p-value was larger than 0.05 the value under the null was found to be plausible; thus it would be contained in an approximate 95% confidence interval of plausible values
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