Answer the question below using hypothesis testing. Follow the seven-step proced

Question

Answer the question below using hypothesis testing. Follow the seven-step procedure
for testing a hypothesis in your text book as a guide for answering the questions. Use a .05
significance level. In each case, calculate the p-value.

4. Did the LFPR increase between 1968 and 1972? Use a paired difference t-test.

Women in the Labor Forc Labor Force Participation Rates by city in 1968 City N.Y LA. Chicago Philadelphia Detroit San Francisco Boston Pitt. St. Louis Connecticut Wash., D.C. unn Baltimore Newark Minn/St. Paul Buffalo Houston Patterson Dallas 1972 1968 0.45 0.42 0.50 0.50 0.52 0.52 0.45 0.45 0.46 0.43 0.55 0.55 0.60 0.45 0.49 0.34 0.35 0.45 0.55 0.54 0.52 0.42 0.53 0.51 0.57 0.49 0.53 0.54 0.59 0.50 0.64 0.58 0.50 0.49 0.57 0.56 0.64 0.63

Explanation / Answer

From Minitab Output

Paired T-Test and CI: X, Y

Paired T for X - Y

N Mean StDev SE Mean
X 19 0.4932 0.0680 0.0156
Y 19 0.5268 0.0708 0.0162
Difference 19 -0.0337 0.0597 0.0137

95% upper bound for mean difference: -0.0099
T-Test of mean difference = 0 (vs < 0): T-Value = -2.46 P-Value = 0.012

LFPR increase between 1968 and 1972

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