The statement that is FALSE among the given options on hypothesis testing is;
Option D; Reducing the significance level (α) can increase a test's effectiveness.
This is about hypothesis testing.
Let us look at each of the options.
- A) When we increase the sample size, it means the testing becomes more sensitive and as such we are more likely to reject the null hypothesis. Thus, it increases the effectiveness.
- B) Alpha (α) is defined as the probability of rejecting the null hypothesis. Thus it is the probability of making a Type I error.
- C) Expanding the sample size makes the hypothesis test to be more sensitive. That is makes it more likely to reject the null hypothesis when it is false and as such it increases the power of the test.
- D) The lower the significance level, the lower the power of the test and as such the lesser the tests effectiveness.
Read more about hypothesis testing at; brainly.com/question/15980493
Relative Dating; One fossil is found to be older than another fossil.
Absolute Dating; Age of a fossil is found to be 61.1 million years old.
<h3>How to classify fossils?</h3>
Relative dating is defined as the age of a rock layer (or the fossils it contains) compared to other layers. This dating can be gotten by looking at the position of rock layers. Whereas, absolute dating is the numeric age(specific age) of a layer of rocks or fossils. Absolute age can be determined by using radiometric dating.
1. Relative Dating; One fossil is found to be older than another fossil.
This is because In an excavation of a project area, if we see a set of fossils found 5 meters down, they will be younger than fossils found 17 meters down.
2. Absolute Dating; Age of a fossil is found to be 61.1 million years old.
A fossil analyzed with radiometric dating would have undergone maybe 2 half lives of radioactive isotope.
Read more about Fossils at; brainly.com/question/2257012
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Linear equation
Example 1
Solve for x: 3 x – 7 > 20.
equation
To check the solution, first see whether x = 9 makes the equation 3 x – 7 = 20 true. Even though 9 isn't a solution, it's a critical number or dividing point and is important to finding the solution.
equation
Now, choose a number greater than 9—10, for example, and see whether that makes the original inequality true.
equation
This is a true statement. Since it is impossible to list all the numbers that are greater than 9, use “set builder” notation to show the solution set.
{ x| x > 9}
This is read as “the set of all x so that x is greater than 9.” Many times, the solutions to inequalities are graphed to illustrate the answers. The graph of { x| x > 9}is shown in Figure 1.
Figure 1. Note that 9 is not included.
figure
Example 2
Solve for x: equation.
The LCD for the denominators in this inequality is 24. Multiply both sides of the inequality by 24 as you would have had this been an equation.
equation
At this point, you can isolate x on either side of the inequality.
equation
In the final step on the left, the direction is switched because both sides are multiplied by a negative number. Both methods produce the final result that says that x is a number less than equation. The check is left to you. The solution set is expressed as
equation
The graph of this solution set is shown in Figure 2.
Figure 2. Note the hole at equation.
figure
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