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
Answer:
x = 34
Step-by-step explanation:
This is a right angle. This means that the square to the bottom right is 90 degrees. There is also an angle that is 124, but that is a linear pair to the angle on the inside. This means that 124+__=180 degrees
180-124= 56
So now we know 2 angles, which are 90 degrees and 56 degrees. Because we know that the sum of the angles of a triangle equal 180 degrees, we can subtract 90 and 56 from 180 to get our answer, 34.
Draw a pizza with 10 slices and shade 3 slices
Answer:
60
Step-by-step explanation:
60% * x = 45% * 80
Changing to decimal form
.60x = .45 *80
.60x =36
Divide each side by .60
.60x/.60 = 36/.60
x =60