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Chapter 8: Q.3 (page 481)

Going to the prom Tonya wants to estimate what proportion of the seniors in her school plan to attend the prom. She interviews an SRS of 50 of the 750 seniors in her school and finds that 36 plan to go to the prom

Short Answer

Expert verified

The sample proportion isp^=75%.

Step by step solution

01

Given Information

n=Sample size=50

N=Populationsize=750

x=Number of successes=36

02

Explanation

The population proportion pis estimated by the sample proportion p^.

The sample proportion is the number of successes divided by the sample size.

localid="1650250513624" p^=xn=3650=1825=0.72=72%

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Most popular questions from this chapter

34. Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172undergraduates at a large university: 鈥淵ou witness two students cheating on a quiz. Do you go to the professor?鈥� Only19 answered 鈥淵es.鈥�
(a) Identify the population and parameter of interest.
(b) Check conditions for constructing a confidence interval for the parameter.
(c) Construct a 99%confidence interval forp. Show your method.
(d) Interpret the interval in context.

98% Confidence find z*for a98%confidence interval using table A or tour calculator. show your method.

Reporting cheating What proportion of students are willing to report cheating by other students? A student project put this question to an SRS of 172 undergraduates at a large university: 鈥淵ou witness two students cheating on a quiz. Do you go to the professor?鈥� Only 19 answered 鈥淵es.鈥�3

Many teens have posted profiles on sites such as Facebook and My Space. A sample survey asked random samples of teens with online profiles if they included false information in their profiles. Of 170younger teens (ages 12to 14) polled, 117said 鈥淵es.鈥� Of 317older teens (ages 15to 17) polled, 152 said 鈥淵es.鈥�6 A 95% confidence interval for the difference in the population proportions (younger teens 鈥� older teens) is 0.120 to 0.297. Interpret the confidence interval and the confidence level

Use Table B to find the critical value t* that you would use for a confidence interval for a population mean M in each of the following situations. If possible, check your answer with technology.

(a) A 98% confidence interval based on n=22observations.

(b) A 90%confidence interval from an SRS of 10observations.

(c) A 95% confidence interval from a sample of size7.
See all solutions

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