Suppose that you want to test the null hypothesis that one-third of all adults in your county have a tattoo, against a two-sided alternative. In other words, you'd like to assess the hypotheses:
(Ho: p = 0.33333) (Ha: p does not equal 0.33333)
For each of the following parts, create your own example of a sample of 100 people that satisfies the indicated property. Do this by providing the sample numbers with a tattoo and without a tattoo. Also report the test statistic and p-value from a one-proportion z-test.
a) Provide the sample numbers with and without a tattoo such that the two-sided p-value is less than 0.001. Report your test statistic and p-value.
b) The same as above, but so that the two-sided p-value is greater than 0.20.
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