Perpendicular to the line x - 5y = 9; containing the point (2, 4)
1 answer:
Answer:
y=-5x+14
Step-by-step explanation:
x-5y=9
x-9=5y
y=x-
The slope for this line is: 1/5
The product of the slopes of any two perpendicular lines equals -1.
So the slope for the perpendicular line will be -5.
The point-slope formula=
Given slope m and a point on the line: (X, Y), the equation of the line will be:
y-Y=m(x-X)
So the equation for the perpendicular should be:
y-4=(-5)(x-2)
Simplify:
y-4=-5x+10
y=-5x+14
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Answer:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5
Step-by-step explanation:
Data given and notation
n=75 represent the random sample taken
estimated proportion of interest
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic
represent the p value
System of hypothesis
We want to verify if the true proportion is higher than 0.5:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we got:
Now we can calculate the p value with the following probability:
Since the p value is lower than the significance level we have enough evidence to reject the null hypothesis and we can conclude that the true proportion for this case is higher than 0.5