Uma piscina possui 5 m de comprimento, 3 m de largura e 2,5 m de profundidade. Calcule: a) A quantidade de azulejo necessária pa
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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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u₁₂ represents the amount of loan remaining after 12 years
<h3>How to interpret u₁₂?</h3>The function is given as:
u₀ = 8000
Given that the subscript n in represents number of years and
represents the amount left to be paid after n years.
We can conclude that:
u₁₂ represents the amount of loan remaining after 12 years
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Answer:
1.83% probability there are no car accidents on that stretch on Monday
Step-by-step explanation:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
In which
x is the number of sucesses
e = 2.71828 is the Euler number
is the mean in the given time interval.
The number of accidents on a certain section of I-40 averages 4 accidents per weekday independent across weekdays.
This means that
What is the probability there are no car accidents on that stretch on Monday?
This is P(X = 0).
1.83% probability there are no car accidents on that stretch on Monday