The temperature in Grand Rapids, Michigan on January 8 was 30 degrees Fahrenheit. The temperature two days later was -8 degrees
2 answers:
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Answer:
Comparing the p value with the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.
Step-by-step explanation:
Data given and notation
represent the number with no defects in sample 1
represent the number with no defects in sample 1
sample 1
sample 2
represent the proportion of number with no defects in sample 1
represent the proportion of number with no defects in sample 2
z would represent the statistic (variable of interest)
represent the value for the test (variable of interest)
significance level given
Concepts and formulas to use
We need to conduct a hypothesis in order to check if is there is a difference in the the two proportions, the system of hypothesis would be:
Null hypothesis:
Alternative hypothesis:
We need to apply a z test to compare proportions, and the statistic is given by:
(1)
Where
z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.
Calculate the statistic
Replacing in formula (1) the values obtained we got this:
Statistical decision
Since is a two sided test the p value would be:
Comparing the p value with the significance level given we see that
so we can conclude that we have enough evidence to reject the null hypothesis, and we can say that we have singificantly differences between the two proportions.
The mid-point for given endpoints is (4,3)
Step-by-step explanation:
a mid-point is the point on a line segment that divides it into two equal portions.
If (x1,y1) and (x2,y2) are the coordinates of vertices of a line segment, then mid-point is given by:
given
(x1,y1) = (9,9)
(x2,y2) = (-1,-3)
The mid-point for given endpoints is (4,3)
Keywords: Coordinate Geometry, Mid-point
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