Generally speaking, would you say that most people can be trusted? A random sample of n1 = 253 people in Chicago ages 18-25 showed that r1 = 41 said yes. Another random sample of n2 = 283 people in Chicago ages 35-45 showed that r2 = 74 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use α = 0.05. (a) What is the level of significance?   What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)

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Generally speaking, would you say that most people can be trusted? A random sample of n1 = 253 people in Chicago ages 18-25 showed that r1 = 41 said yes. Another random sample of n2 = 283 people in Chicago ages 35-45 showed that r2 = 74 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use α = 0.05.

(a) What is the level of significance?
 
What is the value of the sample test statistic? (Test the difference p1 − p2. Do not use rounded values. Round your final answer to two decimal places.)


(c) Find (or estimate) the P-value. (Round your answer to four decimal places.)
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