Generally speaking, would you say that most people can be trusted? A random samp
ID: 3311590 • Letter: G
Question
Generally speaking, would you say that most people can be trusted? A random sample of n1 = 244 people in Chicago ages 18-25 showed that r1 = 41 said yes. Another random sample of n2 = 270 people in Chicago ages 35-45 showed that r2 = 69 said yes. Does this indicate that the population proportion of trusting people in Chicago is higher for the older group? Use = 0.10.
(b) What sampling distribution will you use? What assumptions are you making?
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.)
Explanation / Answer
The statistical software output for this problem is:
Two sample proportion summary hypothesis test:
p1 : proportion of successes for population 1
p2 : proportion of successes for population 2
p1 - p2 : Difference in proportions
H0 : p1 - p2 = 0
HA : p1 - p2 < 0
Hypothesis test results:
Hence,
a) Level of significance = 0.10
Hypotheses: H0: p1 = p2; H1: p1 < p2
b) The standard normal. The number of trials is sufficiently large.
Sample test statistic = -2.42
c) P - value = 0.0078
Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. Z-Stat P-value p1 - p2 41 244 69 270 -0.087522769 0.036226691 -2.4159747 0.0078Related Questions
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