Alessandra's closet contains shelves that hold 12 short-sleeved shirts and 16 long-sleeved shirts. each shelf holds the same num
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Answer:
The p value can be calculated from the alternative hypothesis with this probability:
And the best option for this case would be:
C. between 0.01 and 0.05.
Step-by-step explanation:
Information provided
represent the number of smokers from the sample in 1995
represent the number of smokers from the sample in 2010
sample from 1995
sample from 2010
represent the proportion of smokers from the sample in 1995
represent the proportion of smokers from the sample in 2010
represent the pooled estimate of p
z would represent the statistic
represent the value for the pvalue
System of hypothesis
We want to test the equality of the proportion of smokers and the system of hypothesis are:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Where
Replacing the info given we got:
The p value can be calculated from the alternative hypothesis with this probability:
And the best option for this case would be:
C. between 0.01 and 0.05.
Answer:
For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:
For this case we assume that we want to find a linear regression model given by:
Where:
represent the estimated slope for the model
represent the estimated intercept for the model
And for any estimation of the dependent variable is given by this model.
The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:
So the best option for this case is:
d. residual
Step-by-step explanation:
For this case we define the dependent variable as Y and the independent variable X. We assume that we have n observations and that means the following pairs:
For this case we assume that we want to find a linear regression model given by:
Where:
represent the estimated slope for the model
represent the estimated intercept for the model
And for any estimation of the dependent variable is given by this model.
The difference between the observed value of the dependnet variable and the value predicted using the estimated regression equation is known as residual, and the residual is given by this formula:
So the best option for this case is:
d. residual