Sampling Distributions: Proportions

Front

What is the mean of the sampling distribution of p-hat when the population proportion is 0.4?

Back

0.4

Front

What condition must be met for the sampling distribution of proportions to be approximately normal?

Back

Both np and nq must be greater than 10.

Front

If a sample size is 180 and the population proportion is 0.93, what is the value of np?

Back

np = 180 * 0.93 = 167.4

Front

If a sample size is 180 and the population proportion is 0.93, what is the value of nq?

Back

nq = 180 * (1 - 0.93) = 12.6

Front

What is the standard deviation of the sampling distribution of p-hat when p = 0.9 and n = 100?

Back

Standard deviation = sqrt[(p(1-p)/n)] = sqrt[(0.9*0.1)/100] = 0.03

Front

What is the probability that less than 32% of a sample of 500 dogs are micro-chipped if the population proportion is 0.3?

Back

0.8354

Front

What does p-hat represent in statistics?

Back

p-hat represents the sample proportion.

Front

What is the formula for the standard error of the sample proportion?

Back

Standard error = sqrt[(p(1-p)/n)]

Front

What is the significance of the Central Limit Theorem in relation to sampling distributions?

Back

The Central Limit Theorem states that the sampling distribution of the sample mean will be approximately normally distributed if the sample size is sufficiently large.

Front

What is the relationship between sample size and the shape of the sampling distribution?

Back

As the sample size increases, the sampling distribution becomes more normal.