A sample of size n = 100 is taken what is the appropriate critical t value for e

Question

A sample of size n = 100 is taken what is the appropriate critical t value for each of the following confidence (a) 95% confidence level (b) 98% confidence level Does a confidence interval get wider or narrower if. (a) the percent of desired confidence increases from 90% to 95%? (b) the size of the sample used to produce the confidence interval is decreased? A graduate student wishes to know the proportion of US adults who speak two or more languages He surveys 428 US. adults and finds that speak or mare languages Construct a 99%

Explanation / Answer

14)
If sample size is 100, then degrees of freedom = 100 - 1 = 99
(a)
For 95% CI, t-value for 99 df = 1.984

(b)
For 98% CI, t-value for 99 df = 2.364

(15)
(a) If the percent of desired confidencae increases from 90% to 95%, confidence interval gets wider.

(b)
The size of the sample used to produce the CI is decreased, confidence interval gets wider.

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