A survey asked, “On the average day, about how many hours do you personally watch TV?” Below is the data summary:
Variable | N | Mean | SE 95% CI |
TV Hours | 892 | 2.76 | 0.08 (2.60, 2.93) |
(1.1) A student who has not taken SOC 210 offers this interpretation of the confidence interval: “There is a 95% chance that average TV hours is between 2.60 and 2.93 hours per day.” What is wrong with this interpretation? State the correct interpretation.
He is wrong because he makes a claim about the average TV hours being between 2.6 and 2.93 with a probability of 95%. A 95% Confidence Interval means that 95 out of 100 times our method of estimating the interval will be successful. In other words, in the long run of the time this method will be unsuccessful. Note that a confidence interval is a statement about the method of estimating the interval and not about the true parameter.
A survey asked, “On the average day, about how many hours do you personally watch TV?”...
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