Circumference of the circle
2 answers:
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Answer:
The test statistic for the hypothesis test is -1.202.
Step-by-step explanation:
We are given that a report on the nightly news broadcast stated that 10 out of 129 households with pet dogs were burglarized and 23 out of 197 without pet dogs were burglarized.
Let = population proportion of households with pet dogs who were burglarized.
= population proportion of households without pet dogs who were burglarized.
SO, Null Hypothesis, :
{means that both population proportions are equal}
Alternate Hypothesis, :
{means that both population proportions are not equal}
The test statistics that would be used here <u>Two-sample z-test for</u> <u>proportions</u>;
T.S. = ~ N(0,1)
where, = sample proportion of households with pet dogs who were burglarized =
= 0.08
= sample proportion of households without pet dogs who were burglarized =
= 0.12
= sample of households with pet dogs = 129
= sample of households without pet dogs = 197
So, <u><em>the test statistics</em></u> =
= -1.202
The value of z test statistics is -1.202.