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.
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.
Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...
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