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Chapter 8: Q.89 (page 482)

The 92% confidence interval is _______.

Short Answer

Expert verified

Lower limit = 0.7217

Upper limit = 0.87830

(0.7217,0.87830).

Step by step solution

01

Given Information

Formula used for the 92% confidence interval is

CI=P±zcpqnFormula:

02

Calculation

The 92% confidence interval is given by lower limit,

Lower limit = p'- zaI2p'q'n

Lower limit = 0.8- z0.0040.8(1-0.880

Lower limit = 0.8 - 0.07830472

Lower limit = 0.7217

The 92% confidence interval is given by upper limit,

Upper limit formula is given by,

Upper limit =p'+ zaI2p'q'n

Upper limit = 0.8+z0.0040.8(1-0.8)80

Upper limit= 0.8 + 1.751 x 0.04472

Upper limit = 0.8 + 0.07830472

Upper limit = 0.87830

03

Conclusion

As a result, the 92 percent confidence interval for the true proportion of girls aged 8 to 12 who began ice skating lessons at the ice chalet is calculated as follows: (0.7217, 0.87830).

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Most popular questions from this chapter

In words, define the random variable X¯ .

Define the random variables Xand P′ in words.

The Ice Chalet offers dozens of different beginning iceskating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.

Calculate the following:

a. x = _______

b. n = _______

c. p′ = _______

In one complete sentence, explain what the interval means.

Explain in complete sentences what the confidence interval means.
See all solutions

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