Question

In: Statistics and Probability

For any confidence interval make sure that you interpret the interval in context, in addition to...

For any confidence interval make sure that you interpret the interval in context, in addition to using it for inference.

A survey is given to 300 random SCSU students to determine their opinion of being a “Tobacco Free Campus.” Of the 300 students surveyed, 228 were in favor a tobacco free campus.

  1. Find a 95% confidence interval for the proportion of all SCSU students in favor of a tobacco free campus.
  2. Interpret the interval in part a.
  3. Find the error bound of the interval in part a.
  4. The Dean claims that at least 70% of all students are in favor of a tobacco free campus. Can you support the Dean’s claim at the 95% confidence level? Justify!

Solutions

Expert Solution

Solution:

• 95% CI for proportion is:

• Test calculation:


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