Standard #: MA.912.S.5.6 (Archived Standard)


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Interpret the results of hypothesis tests of means and proportions, and make decisions based on p-values of test.


Remarks


Example: In an effort to determine whether a school's ACT scores are going up, the school looked at a sample of scores from 10 current seniors, and found the sample mean to be 27.5. Historically, scores have been normally distributed with a mean of 25 and standard deviation of 4. If the school adopts a null hypothesis that the mean is still 25, and a one-sided alternative, the sample mean yields a p-value of 0.023. Determine whether this is good evidence that ACT scores have gone up, and write a summary explanation of your decision suitable for a presentation to a non-statistics-minded audience. If the alternative hypothesis were two-sided, what would the p-value be?

General Information

Subject Area: X-Mathematics (former standards - 2008)
Grade: 912
Body of Knowledge: Statistics
Idea: Level 3: Strategic Thinking & Complex Reasoning
Standard: Interpreting Results - Gather data and determine confidence intervals to make inferences about means, and use hypothesis tests to make decisions. Learn to use data to approximate p-values and to determine whether correlations between variables are significant.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Printed On:6/8/2025 4:03:30 AM
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