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 .
Answer:
A. 1 /14
Step-by-step explanation:
3 1/2 / 1/2 = 1 /14
Answer: $59313.58
Step-by-step explanation:
Formula to find the accumulated amount of the annuity is given by :-

, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.
Given : m= $2000 ; m= 1 [∵ its annual] ; t= 10 years ; r= 0.06
Now substitute all these value in the formula , we get

⇒ 
⇒ 
⇒ 
⇒ ![FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}](https://tex.z-dn.net/?f=FV%3D59313.5772407%5Capprox59313.58%20%5C%20%5C%20%5Ctext%7B%20%5BRounded%20to%20the%20nearest%20cent%5D%7D)
Hence, the accumulated amount of the annuity= $59313.58
Answer:
i think 125
Step-by-step explanation:
Answer:
C) 1.3 = 1.3
Step-by-step explanation:
The cayenne pepper plant grew from 3 inches to 4.3 inches in one week, a rate of 1.3 inches per week.
The bell pepper plant's growth is described by a formula that has 1.3 as the number of inches of height gained each week.
The rates of growth of the two plants are 1.3 and 1.3 inches per week. A suitable comparison is ...
1.3 = 1.3