A research company has carried out a poll to find out about people's economic outlook. 436 of 1097 young adults (aged between 20-29 years) said that the economic situation is likely to improve over the next year. By contrast, 291 of 625 mature adults (aged between 30-39 years) agreed with this statement. The company would like to test at the .10 level of significance whether the data provide evidence that the proportion of people holding this optimistic view is different in the two age groups. Calculate the relevant test statistic. (Provide your answer as a positive number rounded to 2 decimal places. In order to obtain a positive test statistic, make sure you subtract the lower value from the higher value when calculating the difference between the sample proportions.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter4: Equations Of Linear Functions
Section4.5: Correlation And Causation
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A research company has carried out a poll to find out about people's economic outlook. 436 of 1097 young adults (aged between 20-29 years) said that the economic situation is likely to improve over the next year.

By contrast, 291 of 625 mature adults (aged between 30-39 years) agreed with this statement. The company would like to test at the .10 level of significance whether the data provide evidence that the proportion of people holding this optimistic view is different in the two age groups.

Calculate the relevant test statistic.

(Provide your answer as a positive number rounded to 2 decimal places. In order to obtain a positive test statistic, make sure you subtract the lower value from the higher value when calculating the difference between the sample proportions.)

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