# Elementary Statistics Quantitative Reasoning Project

**STAT 170 – Elementary Statistics Quantitative Reasoning Project**

Use the following steps to test hypotheses about your statistics project.

When the problem involves hypothesis testing, use the following structure for written reports.

• Step 1: State the hypotheses.

• Step 2: Summarize the data for your readers.

• Step 3: Give the value of the test statistic and the p-value.

• Step 4: Use the p-value to draw a conclusion. State the conclusion in statistical

terms: Reject Ho in favor of Ha, or retain Ho (fail to reject Ho).

• Step 5: State the conclusion in layman terms and in context of the application. Use the

p-value to state the strength of the evidence.

• p-value > .10

retain Ho – there is insufficient evidence to reject Ho in favor of Ha

• .05 < p-value ≤ .10

gray area -- decision to reject Ho or retain Ho is up to the investigators – there is some

evidence against Ho and in support of Ha

• .01 < p-value ≤ .05

reject Ho in favor of Ha – there is fairly strong evidence against Ho and in favor of Ha

• .001 < p-value ≤ .01

reject Ho in favor of Ha – there is strong evidence against Ho and in favor of Ha

• p-value ≤ .001

reject Ho in favor of Ha – there is very strong evidence against Ho and in favor of Ha

Use your TI-83/TI-84 calculator for all of these problems. You will not need any tables.

Use the Sample Test 3 Questions—Answer Key (posted in Canvas) as an example of what my

expectations are.