A study was conducted to determine the proportion of people whodream in black and white instead of color. Among 300 people overthe age of? 55, 65 dream in black and? white, and among 297 peopleunder the age of? 25, 16 dream in black and white. Use a 0.05significance level to test the claim that the proportion of peopleover 55 who dream in black and white is greater than the proportionfor those under 25. Test the claim using a hypothesis test.Identify the test statistic. Identify the? P-value. What is theconclusion based on the hypothesis? test? Test the claim byconstructing an appropriate confidence interval. What is theconclusion based on the confidence? interval?