So just keep subtracting 5 from three or do 5 times 20 - 3. that equals - 97
Using the z-distribution, it is found that since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
<h3>What are the hypothesis?</h3>
- At the null hypothesis, it is tested if Zwerg cannot correctly follow this type of direction by an experimenter more than 50% of the time, that is:

- At the alternative hypothesis, it is tested if Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time, that is:

<h3>Test statistic</h3>
The <em>test statistic</em> is given by:

In which:
is the sample proportion.
- p is the proportion tested at the null hypothesis.
For this problem, the parameters are:

The value of the <em>test statistic</em> is:



Considering a <u>right-tailed test</u>, as we are testing if the proportion is greater than a value, with a <u>significance level of 0.05</u>, the critical value for the z-distribution is
.
Since the test statistic is greater than the critical value for the right-tailed test, this result shows that Zwerg can correctly follow this type of direction by an experimenter more than 50% of the time.
To learn more about the z-distribution, you can take a look at brainly.com/question/16313918
Answer:
B. 180° about the origin
Step-by-step explanation:
You are given a figure and its image, and asked to determine the angle of rotation. All of the answer choices indicate the center of rotation is the origin.
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You have two clues that the rotation is 180° about the origin:
- The original figure is in the 2nd quadrant, and the image is in the 4th quadrant, directly opposite the origin.
- Line ST is directed to the northeast; line S'T' is directed to the southwest, in exactly the opposite direction.
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To find the angle of rotation, you can look at the angle formed by a point, the center of rotation, and the image of the original point. Here, the angle UOU' is a straight angle, so the angle of rotation about O is 180°--the measure of that angle. (It can be convenient to use points close to the center of rotation, but any corresponding points on preimage and image will do.)