Answer:
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
Step-by-step explanation:
The sample proportion is p2= 7/27= 0.259
and q2= 0.74
The sample size = n= 27
The population proportion = p1= 0.4
q1= 0.6
We formulate the null and alternate hypotheses that the new program is effective
H0: p2> p1 vs Ha: p2 ≤ p1
The test statistic is
z= p2- p1/√ p1q1/n
z= 0.259-0.4/ √0.4*0.6/27
z= -0.141/0.09428
z= -1.496
The significance level ∝ is 0.05
The critical region for one tailed test is z ≤ ± 1.645
Since the calculated value of z= -1.496 does not fall in the critical region z < -1.645 we conclude that the new program is effective. We fail to reject the null hypothesis .
<h2>
Explanation:</h2><h2 />
The missing diagram is shown below. Remember that shapes are similar if you can turn one into the other by moving, rotating, flipping, or scaling. So this means you can make the object bigger or smaller. So in this case, we know that ΔABC is similar to ΔDEF. If so, we can establish the following proportion:

Our goal is to find x. So by Pythagorean theorem:

Conclusion:
<em>ΔABC ~ΔDEF</em>
<em>Distance across the river is 25.34m </em>
Hello!
your answer is: A. 8
the other answers contain equations that do not result in 8
B is equal to 36
C is equal to 40,320
I hope this helps, and have a nice day!
Answer:16
Step-by-step explanation: 8(25−3)÷11
8(22)
176 divided by 11= 16