A study was conducted to determine the proportion of people whodream in black and white instead of color. Among 312 people overthe age of​ 55, 75 dream in black and​ white, and among 296 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. Complete parts​ (a) through​ (c) below.
a.) Identify the test statistic: z=_______; Identify theP-value: P-value=______
What is the conclusion based on the hypothesis test?
The P-value is ______ the significance level of alpha=0.05, so______ the null hypothesis. There is _____ evidence to support theclaim that the proportion of people over 55 who dream in black andwhite is greater than the proportion of those under 25.
b. Test the claim by constructing an appropriate confidenceinterval.
The 90% confidence interval is ____ <(p1-p2) < ______
What is the conclusion based on the confidence interval?
Because the confidence interval limits _____ 0, it appears thatthe two proportions are ________. Because the confidence intervallimits include _____ values, it appears that the proportion ofpeople over 55 who dream in black and white is ______ proportion ofthose under 25. Â
c. What is an explanation for the results is that those over theage of 55 grew up exposed to media that was displayed in black andwhite. Can these results be used to verify that explanation?
