The CEO of a large electric utility claims that 80 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 87 say they are very satisfied. Based on these findings, test the claim that the proportion of customers that are very satisfied with their service is greater than 80%. Using α = 0.05 level of significance. State the Null and Alternative Hypotheses. Calculate the Mean and Standard Error. Please show work. Use the calculator to find the P-value and Test Statistic. Please show work. What is your decision based on the p-value you found? Explain. State your conclusion in context to the problem.
The CEO of a large electric utility claims that 80 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 87 say they are very satisfied. Based on these findings, test the claim that the proportion of customers that are very satisfied with their service is greater than 80%. Using α = 0.05 level of significance. State the Null and Alternative Hypotheses. Calculate the Mean and Standard Error. Please show work. Use the calculator to find the P-value and Test Statistic. Please show work. What is your decision based on the p-value you found? Explain. State your conclusion in context to the problem.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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- The CEO of a large electric utility claims that 80 percent of his customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 87 say they are very satisfied. Based on these findings, test the claim that the proportion of customers that are very satisfied with their service is greater than 80%. Using α = 0.05 level of significance.
- State the Null and Alternative Hypotheses.
- Calculate the Mean and Standard Error. Please show work.
- Use the calculator to find the P-value and Test Statistic. Please show work.
- What is your decision based on the p-value you found? Explain.
- State your conclusion in context to the problem.
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