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macwaters
05.05.2020 •
Mathematics
In a study of 11,000 car crashes, it was found that 5720 of them occurred within 5 miles of home (based on data from Progressive Insurance). Use a 0.01 significance level to test the claim that more than 50% of car crashes occur within 5 miles of home. Are the results questionable because they are based on a survey sponsored by an insurance company?
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Ответ:
Step-by-step explanation:
We would set up the hypothesis test.
a) For the null hypothesis,
p = 0.5
For the alternative hypothesis,
p > 0.5
Considering the population proportion, probability of success, p = 0.5
q = probability of failure = 1 - p
q = 1 - 0.5 = 0.5
Considering the sample,
Sample proportion, P = x/n
Where
x = number of success = 5720
n = number of samples = 11000
P = 5720/11000 = 0.52
We would determine the test statistic which is the z score
z = (P - p)/√pq/n
z = (0.52 - 0.5)/√(0.5 × 0.5)/11000 = 4.195
Using a z test score calculator, the probability value is 0.000014
Since alpha, 0.01 > than the p value, 0.000014, we would reject the null hypothesis.
it means that there is sufficient evidence for us to conclude that more than 50% of car crashes occur within 5 miles of home.
The results are not questionable
Ответ:
6l = 6000 ml
300ml/6000ml
= 300/6000
= 3/60
= 1/20
= 1:20