Women Values for the labor force participation rate ofwomen (LFPR) are published by the U.S. Bureau ofLabor Statistics. We are interested in whether there wasa difference between female participation in 1968 and1972, a time of rapid change for women. We check LFPRvalues for 19 randomly selected cities for 1968 and 1972.Shown below is software output for two possible tests:Paired t-Test of m11 - 22Test Ho: m11972@19682 = 0 vs Ha: m11972 - 19682 ≠ 0Mean of Paired Differences = 0.0337t-Statistic = 2.458 w>18 df p = 0.02442-Sample t-Test of m1 - m2Ho: m1 - m2 = 0 vs Ha: m1 - m2 ≠ 0Test Ho: m119722 - m119682 = 0 vsHa: m119722 - m119682 ≠ 0Difference Between Means = 0.0337t-Statistic = 1.496 w>35 df p = 0.1434a) Which of these tests is appropriate for these data?Explain.b) Using the test you selected, state your conclusion.
Women Values for the labor force participation rate 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.
Shown below is software output for two possible tests:
Paired t-Test of m11 - 22
Test Ho: m11972@19682 = 0 vs Ha: m11972 - 19682 ≠ 0
Mean of Paired Differences = 0.0337
t-Statistic = 2.458 w>18 df p = 0.0244
2-Sample t-Test of m1 - m2
Ho: m1 - m2 = 0 vs Ha: m1 - m2 ≠ 0
Test Ho: m119722 - m119682 = 0 vs
Ha: m119722 - m119682 ≠ 0
Difference Between Means = 0.0337
t-Statistic = 1.496 w>35 df p = 0.1434
a) Which of these tests is appropriate for these data?
Explain.
b) Using the test you selected, state your conclusion.
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