The graph shows the distance y, in centimeters, a pendulum moves to the right (positive displacement) and to the left (negative
displacement), for a given number of seconds x.
How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left?
How many seconds are required for the pendulum to swing from its position furthest to the right to its position furthest to the left?
1 answer:
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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
