MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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A researcher is investigating US resident’s natural disaster preparedness. The researcher wants to test if less than 40% of US residents have a “natural disaster emergency plan”. To test this, the researcher selected a sample of 1000 US residents. Each sample member was asked if they have a “natural disaster emergency plan”. Of the 1000 samples, 371 responded that they did have a “natural disaster emergency plan”.
Conduct the appropriate Hypothesis Test using ∝=.05. The steps of the hypothesis test are provided below:
Step 1: State the null and alternative hypotheses one would use to test if less than 40% of US residents have a “natural disaster emergency plan”.
Step 2: What distribution/model should be use to conduct this hypothesis test?(If using statistical features on your calculator then what test will you use?)
Step 3: State rejection rule.
Step 4: Provide the p-value. (From you calculator output or explain how you determined it)
Step 5: Using ∝=.05, draw a conclusion.
Should the null hypothesis be rejected? Yes or No? Why?
Step 6: Summarize your Step 5 results in the context of the question posed.
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