A group of researchers is interested in middle school students and their willingness to appear to...

A group of researchers is interested in middle school students and their willingness to appear to stand out. A random sample of 260 middle school students is gathered, and the researchers ask them to wear bright orange shoes to school for a day. In the sample of 260 students, 192 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 95% confidence level.

a) State the parameter of interest.

b) Find the critical value and standard error. Critical Value: Standard Error:

c. c) Find the confidence interval: ( , )

d.d) Interpret the 95% confidence interval in context.

Expert Solution

a) parameter of interest is true population proportion.

b) critical value is 1.96

standard error is 0.02727

c) confidence interval is (0.685,0.792)

d) true population proportion lies between 68.5% and 79.2 %.

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orchestra answered 1 year ago

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