Select the most appropriate answer. When a higher confidence level is used to es

Question

Select the most appropriate answer. When a higher confidence level is used to estimate a proportion and all other factors involved are held constant there is not enough information to determine the effect on the confidence interval. the confidence interval will be less likely to contain the parameter being estimated. the confidence interval will be narrower. the confidence interval will not be affected. the confidence interval will be wider. Provide an appropriate response. In a recent study of 42 eighth graders the mean number of hours per week that they watched television was 19.6 with a standard deviation of 5.8 hours. Find the 98% confidence interval for the population mean (19.1, 20.4) (18.3, 20.9) (14.1, 23.2) (17.5, 21.7) Provide an appropriate response A 95% confidence interval for a population mean has a margin of error of 3.9. if the sample mean is 54.6 obtain the 95% confidence interval from 50.7 to 54.6 from 46.8 to 62.4 from 50.7 to 58.5 from 52.64 to 56.56 from 46.96 to 62.24

Explanation / Answer

The value of the multiplier increases as the confidence level increases. This leads to wider intervals for higher confidence levels. We are more confident of catching the population value when we use a wider interval.

Last option is the answer.

Confidence Level Multiplier .90 (90%) 1.645 or 1.65 .95 (95%) 1.96, usually rounded to 2 .98 (98%) 2.33 .99 (99%) 2.58

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