Sampling Distributions Proportions with Standard Deviation

According to government data, 22 percent of children in the United States under the age of 6 years live in households with incomes that are classified at a particular income level. A simple random sample of 300 children in the United States under the age of 6 years was selected for a study of learning in early childhood. If the government data are correct, which of the following best approximates the probability that at least 27 percent of the children in the sample live in households that are classified at the particular income level? (Note: z represents a standard normal random variable.)

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According to the Center for Disease Control, 93% of children entering kindergarten in the U.S. are vaccinated. Find the z-score associated with a sample of 180 children in which 162 have been vaccinated.

• -1.34

• 1.34

• .0901

• .9099

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution

Tags

(SR.DSR.4.3

28% of all Dacula students believe Monday will be a snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. What does 50 represent? 

• n

• P

• phat

• standard deviation

Tags

(SR.DSR.4.3

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  We will count the number of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  What type of analysis would we do?

• Proportion

• Means

These symbols represent the mean and standard deviation for which of the following distributions?

• The Population

• The Sample

• The Sampling Distribution