A sample of 137 burglaries indicated that 58 were not via an open or unlocked door...
A sample of 137 burglaries indicated that 58 were not via an open or unlocked door window. At the 0.05 level of significance, test the claim that less than 50% of the burglaries are not through an open or unlocked door or window.
Homework Answers
Hypotheses:
Ho: p = 0.50
Ha: p < 0.50 [Left Tailed test]
Sample proportion = 58/137 = 0.423
Test statistic
z = -1.80
p - Value = P(z < -1.80) = 0.036
Since p - value is less than 0.05, we reject Ho. Hence,
There is sufficient evidence to support the claim that less than 50% of the burglaries are not through an open or unlocked door or window.
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