In a survey, 446 students were asked to pick their favorite color from black, blue, green, orange, pink, purple, red, yellow.
a. If colors were equally popular, what proportion (to three decimal places) of students would choose each color?
b. Pick a color that you suspect will be less popular than others. Using software to access the survey data, report the sample proportion who preferred the color you chose.
c. Tell whether or not the sample proportion is, in fact, lower than the proportion you calculated in part (a).
d. Use software to produce a 95% confidence interval for the proportion of all students who would choose that color.
e. Does your confidence interval contain the proportion you calculated in part (a), or is it strictly above, or strictly below?