Distribution of Sample Proportions

Front

Suppose we have a population that is 49% male. If we take a random sample from that population and determine the percent of our sample that is male, we refer to this proportion as...

Back

p-hat

Front

What will be the mean of all possible sample proportions when sampling from a population with proportion p?

Back

p

Front

What represents the sampling distribution when sampling from a population with proportion p?

Back

Front

Back

Front

Sample size needed for normal distribution of sampling proportions with p=0.2? Options: 10, 20, 50, 75

Back

75

Front

One of the often overlooked pre-conditions for sampling is the "10% rule." Your sample can't exceed 10% of the population, or else you significantly change the proportion of the population simply by removing your sample. Assume we are sampling from a population of 1400 (CGGS). Which of the following sample sizes would not violate the 10% rule? Choose all that qualify. Options:

100

,

130

,

200

,

250

Back

100

,

130

Front

Given a population with proportion p=.35, what is true of a sample of size 50?

Back

Sample is big enough, p= .35 and sampling distribution = .067

Front

Probability that sample proportion p-hat < .40 when n=100, p=.49 (normally distributed).

Back

.036

Front

Have I drawn a large enough sample to use the normal distribution when selecting 36 marbles from a box of 1000 marbles that is 28% red?

Back

Front

Probability of selecting at least 9 red marbles from 36, given 28% are red.

Back

P(p-hat>.28) = .66