A study was conducted to determine the proportion of people whodream in black and white instead of color. Among 293 people overthe age of​ 55, 69 dream in black and​ white, and among 305 peopleunder the age of​ 25,18 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. Complete parts​ (a) through​ (b)
a. Consider the first sample to be the sample of occupants notwearing seat belts and the second sample to be the sample ofoccupants wearing seat belts. What are the null and alternativehypotheses for the hypothesis​ test?
Identify the test statistic.
Identify the​ P-value.
b. Test the claim by constructing an appropriate confidenceinterval.
