23. Technological Change. Do attitudes about technological change differ between the young and their elders? The Pew report discussed earlier reported that 85 of 144 respondents 18 to 29 years old agreed that technology will lead to a better future, whereas 166 of 297 respondents 65 years old or older agreed.
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10.3.23
(a) , , , and . Therefore it is appropriate to perform the test for the difference in population proportions. (b) refers to the population proportion of people 18–29 years old who agree that technology will lead to a better future and refers to the population proportion of people 65 years old or older who agree that technology will lead to a better future. (c) . Reject if the . ; (TI-84: 0.5329195849). The is not , so we do not reject . There is insufficient evidence at level of significance that the population proportions agreeing that technology will lead to a better future differ between the younger group and the older group.