Question

Take a guess as to what proportion of students at your school wear glasses in class.

Write down an interval which you believe with 80% confidence to contain the actual value of this population parameter.

Write down an interval which you believe with 99% confidence to contain the actual value of this population parameter.

Which of these two intervals is wider?

Record the number of students in your class and the number who are wearing glasses.

What proportion of the class wears glasses? Is this number a parameter or a statistic?

Observe at least 20 additional students and note how many wear glasses during class. Record the number that you observe and the number who wear glasses in class.

Combine the sample results of your class and the other students whom you observe. What is the total number of these subjects and the total number who wear glasses? What proportion of students in this combined sample wear glasses? What symbol is appropriate for representing this proportion?

Use this (combined) sample result to produce a 90% confidence interval for q, the proportion of all students at your school who wear glasses in class.

Write a sentence or two interpreting this interval; be sure to relate the interpretation to the context.

3 out of 8 students wear glasses

Answer 1

Answer: ---- Date: ----18/5/2019

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