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Question
- the new york times and cbs news conducted a nationwide poll of 1048 randomly selected 13 - to 17 - year - olds. we can consider the sample to be a stratified random sample with 90% confidence interval. suppose you were to change the confidence level to 95% using the same sample. how would the confidence interval change? no calculations necessary. (1 point) the confidence interval would be the same width but shifted to the left the confidence interval would have the same center but be wider the confidence interval would be the same width but shifted to the right the confidence interval would have the same center but be narrower
Brief Explanations
As the confidence level increases from 90% to 95%, to be more confident that the true population parameter lies within the interval, we need to include more possible values. This results in a wider interval. The sample - statistics used to calculate the center of the confidence interval remain the same, so the center of the confidence interval does not change.
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The confidence interval would have the same center but be wider