A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.The minimum sam

Algebra

A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.

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The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.

The margin of error of the population proportion is found using half the range.

What is the interval estimate of the true population proportion?

  • (0.22, 0.50)

  • (0.20, 0.52)

  • (0.30, 0.42)

  • (0.24, 0.48)

  

A number generator was used to simulate the percentage of people in a town who can skateboard. The process simulates randomly selecting 100 people from the town and was repeated 20 times. The percentage of people who can skateboard in the town is shown in the dot plot.

Which statement is true about the population of the town?

  • Most likely, 30% to 40% of the town can skateboard.

  • Most likely, 40% to 50% of the town can skateboard.

  • Most likely, 10% to 20% of the town can skateboard.

  • Most likely, 20% to 35% of the town can skateboard.

Eight trials are simulated. The results are shown in the table.

Simulation

109105112110

115106108109

What is the estimated margin of error, using standard deviation?

Enter your answer, rounded to two decimal places, in the box.

  ± 

What is the best way to gather information for each of the scenarios?

Select Survey, Experiment, or Observational study for each scenario.

SurveyExperimentObservational study

A director wants to know what his singers do before a performance.

A director wants to know who his best soprano is.

A director wants to know how verbally disciplining a singer affects the group. 

A director wants to know what musical is the most popular in the community.

A librarian wants to have an employee reading contest. She asks her employees to volunteer to read as many books as possible in one week. 

Which sentences explain how randomization is not applied in this situation?

Select each​correct answer. 

  • There is no control over who volunteers. 

  • The librarian is only observing her employees.

  • The librarian can select those who participate.

  • The librarian cannot manipulate the sample or the length of the books.

  • There is no selection process.