ie truct a 99% oon den e interval for the proportion of adult Amoneans without t

Question

ie truct a 99% oon den e interval for the proportion of adult Amoneans without tat What is the critical value? AT 145-Writen Assignmen -who Construct a 99% believe individuals with tattoos are more rebellious What is the margin of error? " What are the lower and upper confidence limits? Write the confidence interval in a complete sentence. d. What is the eoffect of increasing the level of confidence on the width of the interval? 4. a. What effect does increasing the sample size have on the width of the confidence interval? b. What effect does decreasing the level of confidence have on the width of the confidence interval?

Explanation / Answer

4 a

we know that the confidence interval is given as

mean +- z*sd/sqrt(n)

also , margin of error is
MOE = z*sd/sqrt(n)

now if we increase n
so the MOE decreases , as MOE decreases

the values of mean +- MOE also decrease
and the width becomes NARROW

b)
In the second case , when you decrease the confidence interval the value that z takes also decreases

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

as z decreases , again MOE decreases

so again

the values of mean +- MOE decrease
and the width becomes NARROW

question 3 is incomplete. Please note that we can answer only 1 full question at a time , as per the answering guidelines

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