MATH 1040 Review

A Snow College employee wants to know the proportion of Snow students that have a job.  They set up a table at the bell tower and ask the first 200 students if they have a job. 80 of the students say yes. What proportion of the population have a job?

• 0.8

• 0.4

• 40%

• UNKNOWN

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

A Snow College employee wants to know the proportion of Snow students that have a job.  They set up a table at the bell tower and ask the first 200 students if they have a job. 80 of the students say yes. What proportion of the sample have a job?

• 0.8

• 0.4

• 40%

• UNKNOWN

Tags

CCSS.HSS.IC.B.4

A Snow College employee wants to know the proportion of Snow students that have a job.  They set up a table at the bell tower and ask the first 200 students if they have a job. The proportion of students in the sample with a job was 0.4. What kind of sampling technique was used?

• Simple Random Sample

• Systematic Sample

• Cluster Sample

• Stratified Sample

• Convenience Sample

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

A Snow College employee wants to know the proportion of Snow students that have a job.  They set up a table at the bell tower and ask the first 200 students if they have a job. The proportion of students in the sample with a job was 0.4. Is the sample proportion a reliable estimate of the population proportion? Why or why not?

• Yes. The sample was representative and large enough.

• No. The sample was representative but not large enough.

• No. Because this is a convenience sample, it might be biased.

• Yes. The sample is large so it doesn't need to be random to be representative.

Tags

CCSS.7.SP.A.1

CCSS.HSS.IC.A.1

The next year, the Snow employee obtains a complete list of students from the registrar in alphabetical order. They start on the 5th student and select every 12th student from there to the end for a total of 500 students. What kind of sampling technique was used?

• Simple Random Sample

• Systematic Sample

• Cluster Sample

• Stratified Sample

• Convenience Sample

Tags

CCSS.HSS.IC.B.3

The survey asks the question "How satisfied are you with your experience here at Snow?" The possible answers are: "very dissatisfied, somewhat dissatisfied, neutral, somewhat satisfied, very satisfied." What kind of variable is that?

• Numerical, discrete

• Numerical, continuous

• Categorical, ordinal

• Categorical, nominal

The survey asks the question "How satisfied are you with your experience here at Snow?" The possible answers are: "very dissatisfied, somewhat dissatisfied, neutral, somewhat dissatisfied, very satisfied." Suppose of the 500 students, 170 chose "very satisfied". What proportion of students in the population are very satisfied?

• 0.34

• 1.7

• 34%

• UNKNOWN

Tags

CCSS.HSS.IC.B.4

The survey asks the question "How satisfied are you with your experience here at Snow?" The possible answers are: "very dissatisfied, somewhat dissatisfied, neutral, somewhat dissatisfied, very satisfied." Suppose of the 500 students, 170 chose "very satisfied". What proportion of students in the sample are very satisfied?

• 0.34

• 1.7

• 34%

• UNKNOWN

Tags

CCSS.HSS.IC.B.4

34% of the 500 Snow students in the survey chose "very satisfied". What is a 95% confidence interval for the proportion of all Snow students that are "very satisfied"?

• (0.30515, 0.37485)

• (0.29072, 0.38928)

• (0.29848, 0.38152)

• We cannot create a confidence interval because the sample is not large enough.

Tags

CCSS.HSS.IC.B.4

34% of the 500 Snow students in the survey chose "very satisfied". The 95% confidence interval for the proportion of all Snow students that are "very satisfied" was (0.29848, 0.38152). What is the correct interpretation?

• There is a 95% probability that the true proportion of all Snow students that are "very satisfied" is between (0.29848, 0.38152)

• We are 95% confident the true proportion of all Snow students that are "very satisfied" is between (0.29848, 0.38152)

• We are 95% confident the sample proportion of Snow students that are "very satisfied" is between (0.29848, 0.38152)

• The interval is invalid because the requirements were not met.

Tags

CCSS.HSS.IC.B.4