Tom has a summer job while he is on vacation from school. He is working at a riding
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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
EXPLANATION
To find the equation in point-slope form, use the formula,
The
is the slope of the line.
We can read from the graph that, the straight line passes through, the points
We can use these two points to find the slope of the line.
The slope can found using the formula,
This means that,
We now use one of the points, say
with the slope to find the equation of the line.
EXPLANATION
To find the equation in point-slope form, use the formula,
The
is the slope of the line.
We can read from the graph that, the straight line passes through, the points
We can use these two points to find the slope of the line.
The slope can found using the formula,
This means that,
We now use one of the points, say
with the slope to find the equation of the line.