Just two more thanks for all the help thus far
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Answer:
Th second condition is satisfied but the first one on this case it's not satisfied. So for this case it's not good apply the normal approximation to the distribution of p.
Step-by-step explanation:
We need to check the conditions in order to use the normal approximation.
Th second condition is satisfied but the first one on this case it's not satisfied. So for this case it's not good apply the normal approximation to the distribution of p.
If we have both conditions satisfied the general procedure is the following:
Data given and notation
n=23 represent the random sample taken
estimated proportion
is the value that we want to test
represent the significance level
Confidence=90% or 0.90
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Concepts and formulas to use
We need to conduct a hypothesis in order to test the claim that the true proportion is less than 0.11.:
Null hypothesis:
Alternative hypothesis:
When we conduct a proportion test we need to use the z statistic, and the is given by:
(1)
The One-Sample Proportion Test is used to assess whether a population proportion is significantly different from a hypothesized value
.
Calculate the statistic
On this case since the normal approximation it's not satisfid it's not correct calculate the statistic.
Statistical decision
It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.
The significance level provided . The next step would be calculate the p value for this test.
Since is a left tailed test the p value would be:
And if the we reject the null hypothesis. Otherwise w fail to the reject the null hypothesis.
Answer:
The correct order of fractions in descending order will be:
Step-by-step explanation:
Given fraction:
To arrange them in descending order.
Solution:
In order to arrange the fractions in descending order, we will have to find the least common denominators.
To find the least common denominator, we will find the least common multiple of the denominators 3,5, and 30.
Since 30 is a common multiple of all 3 numbers, so it will be the least common denominator.
So, we multiply the numerators and denominators with same numbers in order to make the denominators = 30.
So, we have:
⇒
⇒
Now, we compare the numerators and arrange them accordingly.
So, the correct order of fractions in descending order will be:
<h3>Answer:</h3>
A) 177.568 thousand.
B) 125.836 thousand.
<h3>Step-by-step explanation:</h3>In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.
Equation we're going to use:
We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.
Lets solve the question.
Question A:
We need to find the ladybug population is 2024.
2024 is 14 years after 2010, so our "x" variable will be replaced with 14.
Your equation should look like this:
Now, we solve.
You should get 177.568
This means that the population of ladybugs in 2024 is 177.568 thousand.
Question B:
We need to find the ladybug population is 2060.
2060 is 50 years after 2010, so the "x" variable would be replaced with 50.
Your equation should look like this:
Now, we solve.
This means that the population of ladybugs in 2060 would be 125.836 thousand.
<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>