A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 319 people over the age of​ 55, 77 dream in black and​ white, and among 313 people under the age of​ 25, 15 dream in black and white. Use a 0.01 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. Complete parts​ (a) through​ (c) below.   Identify the test statistic:   Z= ___?____   Identify the P-Value: _______ State the conclusion about the null​ hypothesis, as well as the final conclusion that addresses the original claim. _________ Identify the confidence interval limits for the appropriate confidence interval. __?____ < P1-P2 < __?____

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.