A study was conducted to determine the proportion of people who dream in black and white instead of color. Among

309

people over the age of 55,

80

dream in black and white, and among

291

people under the age of 25,

13

dream in black and white. Use a

0.05

significance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts (a) through (c) below.