Bob 's daily commute time is randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes, and the most common len
1 answer:
Answer:
0.6341 = 63.41% probability that his commute today took more than 35 minutes
Step-by-step explanation:
Randomly distributed = Uniform distribution.
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value higher than x is given by:
Randomly distributed with a minimum of 20 minutes, a maximum of 61 minutes.
This means that .
What is the probability that his commute today took more than 35 minutes?
0.6341 = 63.41% probability that his commute today took more than 35 minutes
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Answer:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%
Step-by-step explanation:
Information given
n=900 represent the random sample selected
estimated proportion of residents favored annexation
is the value that we want to test
represent the significance level
z would represent the statistic
represent the p value
Hypothesis to test
The political strategist wants to test the claim that the percentage of residents who favor annexation is above 72%.:
Null hypothesis:
Alternative hypothesis:
The statistic for this case is given by:
(1)
Replacing the data given we got:
Now we can calculate the p value. Since is a bilateral test the p value would be:
Since the p value is lower than the significance level of 0.05 we have enough evidence to conclude that the true proportion of residents favored annexation is higher than 0.72 or 72%