What is the perimeter of the coordinates X(1,2) Y(1,-2) Z(4,-2)
1 answer:
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Answer:
a) Failed to reject the null hypothesis (P-value=0.09).
b) The 95% CI for the difference in proportions is:
Step-by-step explanation:
a) We have to perform a hypothesis test for the difference of proportions.
The null and alternative hypothesis are:
The significance level is 0.05.
The proportion of the passenger cars owners is:
The proportion of commercial truck owners is:
The weigthed average p is
The estimated standard deviation is
We can calculate the z-value as:
The P-value for z=-1.362 is P=0.0866.
The P-value (0.09) is greater than the significance level (0.05), so it failed to reject the null hypothesis. There is no enough evidence to prove that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars.
b) We can construct a 95% CI, according to the significance level of 0.05.
The z-value for this CI is 1.96.
We have to recalculate the standard deviation:
The lower limit is then:
The upper limit is:
The 95% CI for the difference in proportions is:
In this case, we can conclude that the difference between the proportions, with 95% confidence, can still be equal or greater than zero, meaning that it is possible passenger car owners violate laws more than truck owners.
Answer:
Option d.
Step-by-step explanation:
Total employment for sheet metal workers in 2016 is projected to be = 201,000
This is a 6.3% increase from 2006.
Let the number of workers in 2006 be n
n + (6.3% of n) = 201,000
n + ( 0.063n) = 201,000
1.063n = 201,000
n =
n = 189,087. 4882 ≈ 189,000
the total employment in 2006 was approximately 189,000
Option d is the answer.