In: Math
A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 300 people over the age of 55, 65 dream in black and white, and among 297 people under the age of 25, 16 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. Test the claim using a hypothesis test. Identify the test statistic. Identify the P-value. What is the conclusion based on the hypothesis test? Test the claim by constructing an appropriate confidence interval. What is the conclusion based on the confidence interval?