A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 299 people over the age of​ 55, 77 dreams in black and​ white, and among 286 people under the age of​ 25, 11 dreams 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.  a.) Identify the test statistic z=  Identify the P-value = b.)Test the claim by constructing an appropriate confidence interval. c.) An explanation given for the results is that those over the age of 55 grew up exposed to media that was mostly displayed in black and white. Can these results be used to verify that​ explanation?

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A study was conducted to determine the proportion of people who dream in black and white instead of color. Among 299 people over the age of​ 55, 77 dreams in black and​ white, and among 286 people under the age of​ 25, 11 dreams 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. 

a.) Identify the test statistic z= 

Identify the P-value =

b.)Test the claim by constructing an appropriate confidence interval.

c.) An explanation given for the results is that those over the age of 55 grew up exposed to media that was mostly displayed in black and white. Can these results be used to verify that​ explanation?

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