Answer:
a)
b)
If we compare the p value and the significance level given we see that we have enough evidence to reject the null hypothesis at 5% of significance.
Step-by-step explanation:
Data given and notation
n=114 represent the random sample taken
estimated proportion of people that their approval rating might have changed
is the value that we want to test
represent the significance level
Confidence=95% or 0.95
z would represent the statistic (variable of interest)
represent the p value (variable of interest)
Hypothesis
We need to conduct a hypothesis in order to test the claim that true proportion of people that their approval rating might have changed is 0.58 or no.:
Null hypothesis:
Alternative hypothesis:
Part a
(1)
Calculate the statistic
Since we have all the info requires we can replace in formula (1) like this:
Part b: Statistical decision
The significance level provided . The next step would be calculate the p value for this test.
Since is a bilateral test the p value would be:
If we compare the p value and the significance level given we see that we have enough evidence to reject the null hypothesis at 5% of significance.
Step-by-step explanation:
-3x + 7y = 5x + 2y (you subtract the 2y from both sides)
-3× + 5y = 5x (then add 3x to both sides)
5y = 8x (use x = - 5)
5y = 8x - 5 = -40 (both sides are divided by 5)
y = -8
answer is (-5, -8)
Answer:
C
Step-by-step explanation:
Because of all the variables in the side lengths, we don't have enough information to use side-angle-side similarity.
We do have two angles of one triangle congruent to two corresponding angles of the other triangle, so we can use angle-angle similarity.
Sides AE and AD are corresponding sides. Sides AC and AB are corresponding.
Answer: C
Solution:
Let x = the number of $70 seats sold
Let y = the number of $20 seats sold
x+y ≤ 20,000
70x+20y > 500,000