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Chapter 8: Q 38. (page 522)

More cheating Refer to Exercise 36. Calculate and interpret the standard error of p^for these data.

Short Answer

Expert verified

The value of standard error is0.0239.

Step by step solution

01

Given Information

It is given that:

n=172

x=19

02

Concept Used

Formula to be used isSEp^=p^(1-p^)n

03

Calculation of Standard Error

Calculation of sample proportion is

p^=xn

=19172

0.1105

Hence, standard error

SEp^=p^(1-p^)n

role="math" localid="1654280036152" SEp^=0.1105(1-0.1105)172

SEp^=0.0239

Standard of error is0.0239.

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Most popular questions from this chapter

Going to the prom Tonya wants to estimate the proportion of seniors in her school who plan to attend the prom. She interviews an SRS of 20of the 750seniors in her school and finds that 36plan to go to the prom.

The SAT againHigh school students who take the SAT Math exam a second time

generally score higher than on their first try. Past data suggest that the score increase has a standard deviation of about 50points. How large a sample of high school students would be needed to estimate the mean change in SAT score to within 2 points with 95%confidence?

More weight loss Refer to Exercise 6. Interpret the confidence level.

How confident? The figure shows the result of taking 25SRSs from a Normal population and constructing a confidence interval for the population mean using each sample. Which confidence level—role="math" localid="1654197644211" 80%,90%,95%,or99%—do you think was used? Explain your reasoning.

10Bottling cola A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects cans at random, measures their contents, and computes a 95%confidence interval for the true mean volume. For one particular hour, the 95%confidence interval is 11.97ounces to 12.05ounces.

a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12ounces? Explain your answer.

b. Does the confidence interval provide convincing evidence that the true mean volume is 12ounces? Explain your answer.
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