If appropriate, test the given claim. Your narrative should include both a null and an alternative hypothesis, yourCentral Limit Theorem (CLT) check, a sketch of your testing situation, your p-value, and your conclusion. Use the given significance level.

A study was conducted to determine the proportion of people who dream in black and white instead of in color. Among 306 people over the age of 55, 68 dream in black and white, and among 298 people under the age of 25, 13 dream in black and white. Using the significance level 0.01, test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion of people under 25 who dream in black and white.