An education researcher is interested in instructors’ use of images/text in the

Question

An education researcher is interested in instructors’ use of images/text in the design their lecture slides. A simple random sample of 30 instructors at the University of Toronto each provide her with a single representative slide from their lectures. Then, she uses scanning software to measure the percentage of slide area covered by images/text on each slide.

a. Which of the following statistical procedures should the researcher use to estimate the percentage of University of Toronto instructors who cover more than 50% of their slide area with images/text? Confidence interval for one mean One-sample t-test Confidence interval for one proportion Test for one proportion

b. Which of the following statistical procedures should the researcher use to find out about the average percentage of slide area University of Toronto instructors cover with images/text? Confidence interval for one mean One-sample t-test Confidence interval for one proportion Test for one proportion

Explanation / Answer

Hello,

Hope you are keeping well.

a. Now in the first case, we need to use the estimate the percentage of instructors who cover more than 50% of their slide. We know that Confidence interval for one mean reflects the amount of random error in the sample and provides a range of values that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is the range of likely values of the parameter with a specified level of confidence (which is similar to a probability. Hence we need to find the Confidence Interval for one mean.

b. Now, in this case, we need to find the average percentage of slide instructors cover with images. Hence we will use, test for one proportion for a better approximate.

Hence we get our values.

Hope it helped. Cheers!

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