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.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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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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