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Chapter 7: Q. 43 (page 441)

The magazine Sports Illustrated asked a random sample of 750Division I college athletes, 鈥淒o you believe performance-enhancing drugs are a problem in college sports?鈥� Suppose that 30%of all Division I athletes think that these drugs are a problem. Let p^be the sample proportion who say that these drugs are a problem.

The sampling distribution of p^has mean

(a) 225.

(b) 0.30.

(c) 0.017.

(d) 0.

(e) none of these.

Short Answer

Expert verified

(b)渭p^=0.30

Step by step solution

01

Given Information 

Given

p=30%=0.30

n=750

02

Explanation

The population percentage pis equal to the mean of the sampling distribution of the sample proportionp^.

渭p^=p=0.30

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Most popular questions from this chapter

The name for the pattern of values that a statistic takes when we sample repeatedly from the same population is

(a) the bias of the statistic.

(b) the variability of the statistic.

(c) the population distribution.

(d) the distribution of sample data.

(e) the sampling distribution of the statistic.

According to government data, 22%American children under the age of six live in households with incomes less than the official poverty level. A study of learning in early childhood chooses an SRS of 300children. Find the probability that more than 20%of the sample is from poverty households. Be sure to check that you can use the Normal approximation.

The student newspaper at a large university asks an SRS of 250undergraduates, 鈥淒o you favor eliminating the carnival from the term-end celebration?鈥� All in all, 150of the 250are in favor. Suppose that (unknown to you) 55%of all undergraduates favor eliminating the carnival. If you took a very large number of SRSs of size n=250from this population, the sampling distribution of the sample proportion P鈭�would be

(a) exactly Normal with mean 0.55and standard deviation of 0.03

(b) approximately Normal with mean 0.55and standard deviation 0.03.

(c) exactly Normal with mean 0.60and standard deviation 0.03.

(d) approximately Normal with mean 0.60and standard deviation 0.03.

(e) heavily skewed with mean 0.55and standard deviation 0.03.

According to the U.S. census, the proportion of adults in a certain county who owned their own home was 0.71. An SRS of 100adults in a certain section of the county found that65 owned their home. Which one
of the following represents the approximate probability of obtaining a sample of 100adults in which fewer than 65own their home, assuming that this section of the county has the same overall proportion of adults who own their home as does the entire county?

(a) 10065(0.71)65(0.29)35

(b) 10065(0.29)65(0.71)35
(c) Pz<0.65-0.71(0.71)(0.29)100

(d) Pz<0.65-0.71(0.65)(0.35)100
(e) Pz<0.65-0.71(0.71)(0.29)100

Here is a dot plot of the adult literacy rates in 177countries in 2008, according to the United Nations. For example, the lowest literacy rate was 23.6%, in the African country of Burkina Faso. Use the dot-plot below to answer the Question

The mean of this distribution (don鈥檛 try to find it) will be

(a) very close to the mode.

(b) greater than the median.

(c) less than the median.

(d) You can鈥檛 say, because the median is random.

(e) You can鈥檛 say, because the mean is random.
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