Sampling and Survey Insights: Calculating and Interpreting Data

A school conducted a survey of 200 students to find out their favorite subject. What is the population in this scenario?

• Only the 200 surveyed students

• All teachers in the school

• All students in the school

• Students from other schools

In a survey of 150 households, 30% reported having a pet. If the total number of households in the town is 1,500, what is the parameter being estimated?

• The proportion of households in the town that have a pet.

• The number of households without pets.

• The average number of pets per household.

• The total number of pets in the town.

A researcher wants to know the average height of students in a high school. If they randomly select 50 students, what is the sample in this study?

• All students in the high school.

• The average height of all students.

• The 50 randomly selected students.

• The 50 students who were not selected.

A city has a population of 10,000 residents. A survey is conducted with a sample of 500 residents. What is the statistic if 60% of the sample supports a new park?

• 60%

• 50%

• 70%

• 80%

In a study about smartphone usage, a sample of 200 teenagers is surveyed. If the total number of teenagers in the city is 2,000, how would you calculate the sample size needed for a 95% confidence level?

• Calculate using n = (1.96^2 * 0.5 * 0.5) / 0.05^2, then apply finite population correction.

• Assume the entire population is the sample size without adjustments.

• Calculate sample size based on a 90% confidence level instead.

• Use n = (1.96^2 * 0.3 * 0.7) / 0.1^2 without correction.

A survey shows that 70% of participants prefer online classes. If the sample size was 300, what is the statistic that represents this preference?

• 250

• 150

• 90

• 210

A company wants to know the average salary of its employees. They survey 100 employees out of 1,000. What is the population and what is the parameter they are trying to estimate?

• Population: 100 employees; Parameter: Total salary of employees.

• Population: 1,000 employees; Parameter: Average salary of employees.

• Population: 500 employees; Parameter: Average salary of surveyed employees.

• Population: 1,000 employees; Parameter: Median salary of employees.

In a political poll, 1,000 voters are surveyed, and 55% support a candidate. If the total number of voters in the district is 20,000, what is the parameter?

• 0.45

• 0.50

• 0.60

• 0.55

A health study surveys 250 patients to determine the average number of hours they sleep. If the total number of patients in the hospital is 2,500, what is the population?

• 250 patients

• 1000 patients

• 2500 patients

• 500 patients

A survey of 400 people found that 45% prefer coffee over tea. If the total number of people surveyed is 1,000, what is the statistic and how does it relate to the parameter?

• The statistic is 45%, and it represents the entire population's preference for tea.

• The statistic is 400, which is the total number of people surveyed.

• The statistic is 180 out of 400, which is the total number of people surveyed.

• The statistic is 45% (180 out of 400), and it estimates the parameter of the entire population's preference for coffee.