Introduction to Confidence Intervals

Question 1

A dental office asked a random sample of adult patients if they preferred fruit-flavored toothpaste more than mint-flavored toothpaste. The 95% confidence interval of adult patients from this sample who preferred fruit-flavored toothpaste to mint-flavored toothpaste is (0.25, 0.31).Interpret the confidence interval.

Revolt · Accepted Answer

We are 95% confident that the interval from 0.25 to 0.31 captures the true proportion of adult patients who prefer fruit-flavored toothpaste over mint-flavored toothpaste.

Question 2

p = the proportion of beads in the

Revolt · Accepted Answer

jar

Question 3

The sample proportion is the proportion of green beads in the and .

Revolt · Accepted Answer

sample

Question 4

Is it reasonable to assume that more than half of the patients from this dental office prefer fruit- flavored toothpaste to mint-flavored toothpaste?

Revolt · Accepted Answer

No, it is not reasonable to assume this, because 0.50 is above the upper boundary of the confidence interval.

Question 5

p = the proportion of beads in the

Revolt · Accepted Answer

true (unknown)

Question 6

A confidence interval gives an interval of for a based on .

Revolt · Accepted Answer

plausible values

Question 7

Suppose a 95% confidence interval for a population proportion is determined to be 0.56 ± 0.12 = (0.44, 0.68).Based upon the given confidence interval, which value of p is plausible?

Revolt · Accepted Answer

0.52

Question 8

A confidence interval gives an interval of for a based on .

Revolt · Accepted Answer

parameter

Question 9

A confidence interval gives an interval of for a based on .

Revolt · Accepted Answer

sample data

Introduction to Confidence Intervals Answers

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