Forty percent of all seventh graders have visited a state park. How closely do $200$ random samples of $50$ students estimate the percent of seventh graders who have visited a state park? Use a simulation to support your answer.

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Solution

Explanation:
$40 %$ of the all seventh graders have visited a state park.
Total samples taken = $200$
Number of students randomly taken = $50$
It’s a biased sample of $200$ random samples of $50$ students for estimating the percent of seventh graders who have visited a state park because it does not gives the correct information of the seventh graders and they may or may not be the visitors of the park.
Hence, most of the samples are within $10 %$ of the actual population that of all seventh graders have visited a planetarium.

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You want to determine the number of students in your school who have visited a science museum. You survey $50$ students at random. Twenty have visited a science museum, and thirty have not. So, you conclude that $40 %$ of the students in your school have visited a science museum. Is your conclusion valid? Explain.

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Forty percent of all seventh graders have visited a state park. How closely do 200 random samples of 50 students estimate the percent of seventh graders who have visited a state park? Use a simulation to support your answer.

Forty percent of all seventh graders have visited a state park. How closely do $200$ random samples of $50$ students estimate the percent of seventh graders who have visited a state park? Use a simulation to support your answer.