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Math203 Hypothesis Testing Steps

Math203 Hypothesis Testing Steps - Hypothesis Testing Steps...

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Hypothesis Testing Steps 1. Determine H o and H 1 . 2. Determine the test statistic / test value using the flow chart. * 3. Determine the decision rule. 4. Make a decision 5. Write a conclusion. square6 z Critical Value α 0.10 0.05 0.025 0.01 0.005 Value 1.28 1.645 1.96 2.33 2.58 For left-tailed test, use the negative of the value in the above table. Ex.) Use -1.28 instead of 1.28 For two-tailed test, calculate the value of 2 α . Then look that up in the above table. Ex.) α =0.05. Then 2 α =0.025 Look up 0.025 in the chart & get 1.96 as the value. Technically, you will have 2 critical values. +1.96 & -1.96. *If your α is not listed in the chart, find the z in Table E using methods in chapter 6 & 7. square6 t Critical Values Go to the t-distribution chart. Notice underneath “Confidence Intervals” you see “One tail, α ” and “Two tails, α ”. For “one tail” that is the α for the one-tailed test. If you need a two-tailed test, “two tail” is what your α must be in order to use that value. Pick the appropriate column and match it with d.f.=n-1.
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