Has trust in the executive branch of government declined? A Gallup poll asked U.S. adults if they trusted the executive branch of government in 2008 and again in 2017. The results are shown in the table.

a. Find and compare the sample proportion for those who trusted the executive branch in 2008 and in 2017.

b. Find the 95% confidence interval for the difference in the population proportions. Assume the conditions for using the confidence interval are met. Based on the interval, has there been a change in the proportion of U.S. adults who trust the executive branch? Explain.

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2008 2017 Yes 623 460 No 399 562 Total 1022 1022