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Solution Sheet: Hypothesis Testing for Single Mean and Single Proportion

Module by: Susan Dean, Barbara Illowsky, Ph.D.. E-mail the authors

Summary: This module provides a solution sheet for the Hypothesis Testing: Single Mean and Single Proportion chapter of the Collaborative Statistics textbook/collection.

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  • a. HoHo size 12{H rSub { size 8{o} } } {}:
  • b. HaHa size 12{H rSub { size 8{a} } } {}:
  • c. In words, CLEARLY state what your random variable X¯X¯ size 12{ {overline {X}} } {} or P'P' size 12{P'} {} represents.
  • d. State the distribution to use for the test.
  • e. What is the test statistic?
  • f. What is the pp size 12{p} {}-value? In 1 – 2 complete sentences, explain what the pp size 12{p} {}-value means for this problem.
  • g. Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the pp size 12{p} {}-value.
    Figure 1
    Figure 1 (wave.PNG)
  • h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
    • i. Alpha:
    • ii. Decision:
    • iii. Reason for decision:
    • iv. Conclusion:
  • i. Construct a 95% Confidence Interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the Confidence Interval.
    Figure 2
    Figure 2 (wave.PNG)

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