Given:
Two vectors (u) and (w) and the angle between them θ
the sketch of the vectors will be as shown in the following figure:
As shown, the resultant vector is the blue line segment
The vector R has a magnitude = 60.22
And the angle between u and R = 5.56°
According to the p-value, the correct option regarding the decision of the test hypothesis is:
v. No, because 0.283 > 0.05.
<h3>What are the hypothesis tested?</h3>At the null hypothesis, we test if the proportion is still of 0.53, that is:
At the alternative hypothesis, we test if it has increased, that is:
.
In this problem, the p-value is of 0.283 > 0.05, hence there is not sufficient evidence to conclude, at the significance level of a = 0.05, that the proportion of all car owners in the United States who own American-made cars has increased from what it was ten years ago, which means that option V is correct.
More can be learned about p-values at brainly.com/question/16313918
Answer:
The value of the test statistic is of 0.22.
Step-by-step explanation:
Our test statistic is:
In which X is the sample mean, is the expected mean,
is the standard deviation(square root of the variance) and n is the size of the sample.
A lumber company is making boards that are 2920.0 millimeters tall.
This means that .
A sample of 12 is made, and it is found that they have a mean of 2922.7 millimeters with a variance of 121.00.
This means that . So
The value of the test statistic is of 0.22.