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March 8th, 2017, 10:26 AM   #1
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Hypothesis Testing

Listed below are the ages of the 146 employees who perished in the Triangle Factory in 1911 in Manhattan. One factor contributing to the larger number of deaths is that almost all exits were locked so that employees could be checked for theft when they finished work at the end of the day. That fire revealed poor and unsafe working conditions that led to changes in building codes and labor laws.

Males: 38, 19, 30, 24, 23, 23, 19, 18, 19, 33, 17, 22, 33, 25, 20, 23, 22

Females: 24, 16, 25, 31, 22, 18, 19, 22, 16, 23, 17 15, 21, 18, 17, 17, 17, 31, 20, 36, 18, 25, 30, 16, 25, 25, 21, 19, 17, 18, 20, 18, 26, 26, 16, 18, 18, 17, 22, 17, 20, 22, 18, 20, 16, 25, 18, 40, 21, 18, 19, 19, 18, 18, 19, 16, 19, 16, 16, 21, 33, 21, 14, 22, 19, 19, 23, 19, 18, 21, 39, 20, 14, 27, 22, 15, 19, 16, 16, 19, 18, 21, 18, 19, 19, 20, 18, 43, 16, 20, 18, 30, 21, 22, 18, 21, 35, 22, 21, 22, 21, 22, 17, 24, 25, 20, 18, 32, 20, 21, 19, 24, 17, 18, 30, 18, 16, 22, 22, 17, 22, 20, 15, 20 , 17, 21, ,21 18, 17.

1. Use the P-value method to determine whether there is sufficient evidence to support the claim that among the workers who perished in such circumstances, the majority are women (use a 0.05 significance level).
(a) State the original claim and the opposite in symbolic form:

Original - p=0.05 Opposite - p (doesn't equal) 0.05

(b) State the null hypothesis H0, the alternative hypothesis H1, and the type of test:

H0: p=0.05
H1: p > 0.05


(c) State the testing method and the test you used, and relevant formulas/values:

1-PropZTest (P0=0.05, x=129, n=146, >P0) =
Z=46.21
P=0
^(P under the hat)=.88

(d) State the relevant test result(s) and the associated rejection criterion:

P-value = 0 > 0.05
Fail to reject H0.


(e)
State your conclusions:
A. There is sufficient evidence to support the claim.
B. There is not sufficient evidence to support the claim.
C. There is sufficient evidence to reject the claim.
D. There is not sufficient evidence to reject the claim.

I choose B: There is not sufficient evidence to support the claim.
Among the workers who perished, the majority are women.


Am I doing this right? Any help would be greatly appreciated!
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