CCSS.Math.Content.HSS.IC.B.4

What does this symbol represent?

• standard error
• standard deviation of the sample proportions
• standard deviation of a parameter
• standard deviation of the population

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CCSS.Math.Content.HSS.IC.B.4

Which of the following is an example of an interval estimate?

• point estimate 
• critical value
• confidence interval
• statistic

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CCSS.Math.Content.HSS.IC.B.4

A __________ gives an interval of plausible values for the _____________. 

• confidence interval, statistic
• point estimate, parameter
• point estimate, statistic
• confidence interval, parameter

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CCSS.Math.Content.HSS.IC.B.4

The amount added and subtracted to the statistic.

• Margin of Error

• Point Estimator

• Statistic

• Population

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CCSS.Math.Content.HSS.IC.B.4

In a survey of 104 students, it was found that 79 went to the homecoming game this year.

A 99% confidence interval for p is (0.652, 0.868). Interpret this interval.

• 99% of the time the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.

• The probability that the population proportion of people who went to the homecoming game this year is between 65.2% and 86.6% is 95%.

• Based on this sample, I am 99% confident that the true proportion of people who went to the homecoming game this year is between 65.2% and 86.6%.

• 99% of all possible intervals calculated this way will capture the true proportion of people who went to the homecoming game this year

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CCSS.Math.Content.HSS.IC.B.4

A research assistant randomly selected 75 undergraduate students from the list of all students enrolled in the psychology-degree program at a large university. She asked each of the 75 students, "How many minutes per day do you typically spend reading?" The mean reading time in the sample was 89 minutes, and the margin or error for this estimate was 4.28 minutes.

Another research assistant intends to replicate the survey and will most attempt to get a smaller margin of error. Which of the following samples will most likely result in a smaller margin of error for the estimated mean time students in the psychology-degree program read per day?

• 40 randomly selected undergraduate psychology-degree program students

• 40 randomly selected undergraduate students from all degree programs at the college

• 300 randomly selected undergraduate psychology-degree program students

• 300 randomly selected undergraduate students from all degree programs at the college

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CCSS.Math.Content.HSS.IC.B.4

If 200 people were surveyed, approximately how many people like pepperoni and cheese as their topping?

• 100 people

• 150 people

• 50 people

• 75%

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CCSS.Math.Content.HSS.IC.B.4

Which of the following pairs of sample size n and population proportion p would produce the greatest standard deviation for the sampling distribution of a sample proportion p?

• n = 1,000 and p close to 0

• n = 1,000 and p close to 1

• n = 1,000 and p close to 1/2

• n = 100 and p close to 0

• n = 100 and p close to 1/2

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CCSS.Math.Content.HSS.IC.B.4

Two random samples, A and B, were selected from the same population to estimate the population mean. For each sample, the mean, standard deviation, and margin of error for a 95 percent confidence interval for the population mean are shown in the table. Which of the following could explain why the margin of error of sample A is greater than the margin of error of sample B?

• The sample size of A is greater than the sample size of B.

• The sample size of A is less than the sample size of B.

• The sample size of A is equal to the sample size of B.

• The mean of sample A is greater than the mean of sample B.

• The standard deviation of sample A is less than the standard deviation of sample B.

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CCSS.Math.Content.HSS.IC.B.4

A recent survey found that out of 400 random American adults, 89% pay their bills on time. The margin of error in this survey was 2%. What is the interval of values in which the truth is likely found?

• 89% - 91%

• 87% - 89%

• 87% - 91%

• 388 - 402

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CCSS.Math.Content.HSS.IC.B.4