Answer:
None of the Above
Step-by-step explanation:
The range is [2, ∞) excluding (2, 7) and [11, 16). No part of the piecewise function will give f(x) = 5, for example.
Kim purchased a dress that was originally $35. It was on sale for 30% off. She also bought a pair of shoes for 1/2 off the origi
1 answer:
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The statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
<h3>How to find one solution of equation?</h3>If the equation is given a unique and single value of variable after solving then the equation is said one solution equation. Such equation gives exactly one solution.
The three types of solution of an equation are-
- One solution-When the provides the singe value of the given variable, we get one or unique solution.
- No solution-When the graph of equations is equal than it provides the no solution. When the value, does not equate for the expression, then the expression has no solution.
- Infinite many solution-For the same line, the equation has the infinite many solutions.
The first equation given in the problem is,
This equation has one solution. This in not correct option.
The second equation given in the problem is,
This equation has one solution. This in correct option.
Hence, the statement which is true for the provided reason is the equation 3.5|6x – 2| = 3.5 has one solution.
Learn more about the solution of the equation here;
a)
b) By assuming a significance level of α = 0.05 and observing that > α, we can reject the null hypothesis at this level of significance. And in this instance, it makes sense that more than 50% of Americans believe that the Civil War still has an impact on American politics and political life.
c) The confidence interval at 90% would be shown (0.527;0.593).
About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.
<h3>What is a survey?</h3>A survey is a set of questions used in human subject research with the goal of gathering specific information from a certain population. Surveys can be carried out via the phone, by mail, online, at street corners, and even in shopping centers.
a)
1) The presented data and the notation "n=1507" refer to the random sample of Americans, "X" denoting the proportion of those Americans in the sample who believe that the Civil War is still significant to American politics and political life, and "p cap" denoting the estimated number of those Americans.
Since the problem specifies that majority α=0.05 represents the significance threshold, is the number that we wish to test (no given, but is assumed)
Z would stand for the statistic (interesting variable), and for the p value (variable of interest)
P is the percentage of the public that believes that the Civil War still has an impact on American politics and political life.
2) Useful concepts and formulas
The allegation that more Americans than 50% believe the Civil War is still significant to American politics and political life needs to be tested through a hypothesis (Majority). :
Alternative Hypothesis: p 0.5
Null Hypothesis: p 0.5
The proportion is thought to have a normal distribution.
This test for the percentage of union membership has one tail higher.
Verify whether the sample conforms to the presumptions required for the test to be applied.
a) The random sample must be representative; in this situation, there is no mention of this issue, but it is safe to presume that it exists.
b) The sample size must be sufficient.
3. Determine the statistic.
The formula used to calculate the statistic is as follows:
P value=
According to the alternative hypothesis, the following would be the p value:
P value=
Using this formula, the confidence interval would be determined.
p ±
With the value of and
, we can get the quantile necessary for the interval in the normal standard distribution for the 90% confidence interval.
adding the following to the formula for the confidence interval:
Also provided would be the 90% confidence interval (0.527;0.593).
About 54% to 59% of all Americans, in our opinion, believe that the Civil War is still significant today.
And because the interval does not contain the value of 0.5, we can conclude that, at a 90% level of confidence, the percentage of Americans who believe that the Civil War is still relevant to American politics and political life is higher than 0.5. This result is consistent with the result of part b.
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