Identifythe null hypothesis, alternative hypothesis,conclusion about the null hypothesis, and final conclusion that addresses the originalclaim.

A study was conducted to determine the proportion ofpeople who dream in black and white instead of 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 blackand white (based on data from "Do We Dream in Color?" by Eva Murzyn, Consciousness andCognition, Vol. 17, No. 4). We want to use a 0.01 significance level to test the claim that theproportion of people over 55 who dream in black and white is greater than the proportion forthose under 25.

H₀: p1 p2

H₁: p1 p2

Test Statistic (z) = (Round to 2 decimals)

Critical Value (z) = (Round to 2 decimals)

P-Value = (Round to 4 decimals)

Decision about H₀(Reject or Fail to Reject):

Conclusion (Sufficient or Not Sufficient):