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Answer:
Probability: 0.7190
There is not enough evidence at the 5% level of significance to suggest that there is difference in proportions of red-light runners between the two intersections
Step-by-step explanation:
We can conduct a hypothesis test for the difference of 2 proportions. If there is no difference in proportion of red-light runners between the 2 lights, then the difference in proportions will be zero. That makes the null hypothesis
H0: p1 - p2 = 0
The question is asking whether there is a difference, meaning that the difference can be higher or lower. If there is a difference, the proportions are not equal. This makes the alternate hypothesis
Ha: p1 - p2 ≠ 0
This is a two tailed test
We will use a significance level of 95% to conduct our test. This makes the critical values for our test statistic: z > 1.96 or z < -1.96.
If our test statistic falls in either region, we will reject the null hypothesis.
See the attached photo for the hypothesis and conclusion
The z-value of the test statistic is z = 0.58.
P(z < 0.58) = 0.7190
