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:
Sir you need to put more Explannation in it because i cant figure it out properly
Step-by-step explanation:
It would take five hours for all the bacteria to die. 1000 divided by 5 is 200 so 200×5 = 1000
Answer:
The lines would be parallel because their slopes are the same and their y-intercepts are different.
Step-by-step explanation:
First, start with the two equations:
y = 7x + 15
y = 7x + 4
So for lines to be parallel, they must have the same slope. For lines to be perpendicular, one of the lines must be the negative reciprocal of the other. In other words, it should be the opposite sign (+ or -) and the reciprocal (flip the numerator and denominator.
In this case, the lines are in slope-intercept form:
y = mx + b
so the slope is already given.
Slope of line 1 = 7x
Slope of line 2 = 7x
Because these lines have the same slope but different y-intercepts, they would be parallel to each other. You can check this by graphing it.
if she doesnt have the money ot begin with then the number is going to be negative which means less than ZERO.