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:
the slope is rise over run in a graph
Step-by-step explanation:
Answer:
3x^2 (5x^3 + 4x^2 - 8x - 1)
Step-by-step explanation:
The given expression is 15x^5 + 12x^4-24x^3-3x^2
Here we have to find the GCF of all the above terms.
The GCF is 3x^2, let's take out 3x^2 and write the remaining terms in the parenthesis.
15x^5 + 12x^4-24x^3-3x^2
=3x^2 (5x^3 + 4x^2 - 8x - 1)
Therefore, the factors are 3x^2 and (5x^3 + 4x^2 -8x -1).
15x^5 + 12x^4-24x^3-3x^2 = 3x^2 (5x^3 + 4x^2 -8x -1)
Thank you.
Answer:
True
Step-by-step explanation:
The definition of diameter is "a straight line passing from side to side through the center of a body or figure, especially a circle or sphere."