77. Labor force. Values for the labor force participation rate

(proportion) of women (LFPR) are published by the U.S.

Bureau of Labor Statistics. We are interested in whether there was a difference between female participation in 1968 and 1972, a time of rapid change for women. We check LFPR values for 19 randomly selected cities for 1968 and 1972. Here is software output for two possible tests.

a) Which of these tests is appropriate for these data? Explain.

b) Using the test you selected, state your conclusion.

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Paired t-Test of (1-2) Test Ho: (1972-1968) 0 vs Ha: (1972-1968) #0 - Mean of Paired Differences -0.0337 t-Statistic-2.458 w/18 df p-0.0244 2-Sample t-Test of l- Ho: l 20 Ha: l - 20 Test Ho: (1972) (1968)-0 vs Ha: (1972)(1968) 0 Difference Between Means -0.0337 t-Statistic-1.496 w/35 df p-0.1434