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

The Gallup Poll asked a random sample of 1785 adults whether they attended church during the past week.  Let p-hat be the proportion of people in the sample who attended church.  A newspaper report claims that 40% of all U.S. adults went to church last week.  Suppose this claim is true. 
Calculate the standard deviation of the sampling distribution.  (Check to see if the 10% condition is met first)

• 0.0116
• 0.0117
• 0.0118
• 0.0119

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

A preliminary study suggests that 87% of people agree on an issue. How large must your sample size be so you could be within ± 3% of p calculate at 90% confidence?

• 7

• 466

• 5

• 338

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

A random sample of 100 WHS students found that 53 of them were in possession of a pencil. What is the p-hat for this sample?

• 0.53
• 0.5
• 0.47
• 1

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

At a particular college, 78% of all students are receiving some kind of financial aid.The school newspaper selects a random sample of 100 students and 72% of the respondents say they are receiving some sort of financial aid. Which of the following is true?

•  78% is a population and 72% is a sample.
• 72% is a population and 78% is a sample
• 78% is a parameter and 72% is a statistic
• 72% is a parameter and 78% is a statistic

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

28% of all Woodrow students believe Monday will be snow day. You take a sample of 50 students and find that 15 of them believe Monday will be a snow day. (The sample proportion is 15/50 or .3) What is the probability of getting a sample of size 50 that has 15 or more students who believe Monday will be a snow day?

• 0.376

• Cannot be determined because the distribution of the sample proportion of samples of size 50 is not normal

• 0.624

• 0.99999

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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

The parameter is a number describing the:

• population

• sample

• survey

• percent

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

A recent survey found that 77% of high schoolers use their phones more than 4 hours a day on average. The margin of error was 3%. What is the interval for which we could expect to find the truth of the population?

• 77% - 80%

• 74% - 77%

• 74% - 80%

• 50 million high schoolers - 120 million

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

In a random sample of 1000 adult Americans, only 430 could name at least one justice who is currently serving on the US Supreme Court. A claim is that fewer than half of adult Americans can name at least one justice who is currently serving on the US Supreme Court. State the null hypothesis.

• H_o: p <.5, where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p >.5 where p is the true proportion of Americans who can name one justice currently serving.

• H_o:p =.5 where p is the true proportion of Americans who can name one justice currently serving.

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

In a national survey of 2013 adults, 1283 indicated that they believe rudeness is a more serious problem than in years past. Does this indicate that more than 3/4 of American adults believe rudeness is a worsening problem? State the null hypothesis.

• H_o: p > .75, where p is the true proportion of Americans who believe rudeness is worsening.

• H_o: p = .75, where p is the true proportion of Americans who believe rudeness is worsening.

• H_o: p < .75, where p is the true proportion of Americans who believe rudeness is worsening.

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