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.
2. Is the mean LFPR for 1972 greater than 50%?

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

Set Up Hypothesis
Null, H0: U<=0.5
Alternate, H1: U>0.5
Test Statistic
Population Mean(U)=0.5
Sample X(Mean)=0.5268
Standard Deviation(S.D)=0.0708
Number (n)=19
we use Test Statistic (t) = x-U/(s.d/Sqrt(n))
to =0.5268-0.5/(0.0708/Sqrt(19))
to =1.65
| to | =1.65
Critical Value
The Value of |t | with n-1 = 18 d.f is 1.734
We got |to| =1.65 & | t | =1.734
Make Decision
Hence Value of |to | < | t | and Here we Do not Reject Ho
P-Value :Right Tail - Ha : ( P > 1.65 ) = 0.05814
Hence Value of P0.05 < 0.05814,Here We Do not Reject Ho

We don't have evidence that LFPR is greater than 0.50 in 1972

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