Question

a group of researchers is interested in middle school students and their willingness to appear to stand out. a random sample of 350 middle school students is gathered, and the researchers ask them to wear bright orange shoes to school for a day. in the sample of 350 students, 272 were willing to wear the bright orange shoes. estimate the overall proportion of middle school students that would be willing to wear bright orange shoes to school for the day. use a 98% confidence level. a) state the parameter of interest. verify that the necessary conditions are present in order to carry out the procedure

Answer 1

If researchers ask 260 middle school students to wear bright orange shoes to school for a day, and 192 of them were willing to wear them, then the overall proportion is 0.7384615.

The sample size

is 260, and the number of successes is 192. The sample proportion is calculated as 192/260 = 0.7384615.

Randomization ensures that there is an equal number of middle school students in each class. Randomization also eliminates the variation contributed by confounding variables

in the study. hope it helps you out