Answer:
p-value (0.0208) is less than alpha = 0.05 reject H0.
Step-by-step explanation:
we have the following data:
sample size = n = 75
x, the number to evaluate is 45
the sample proportion would be: x / n = 45/75
p * = 0.6
Now, the null and alternative hypotheses are:
H0: P = 0.72
Ha: P no 72
two tailed test
statistic tes = z = (p * - p) / [(p * (1-p) / n)] ^ (1/2)
replacing we have:
z = (0.6 - 0.72) / [(0.72 * (1-0.72) / 75)] ^ (1/2)
z = -2.31
p-vaule = 2 * p (z <-2.31)
using z table, we get:
p-vaule = 2 * (0.0104)
p-vaule = 0.0208
Therefore, p-value (0.0208) is less than alpha = 0.05 reject H0.
Answer:
y = x - 9
Step-by-step explanation:
Find the slope of the first line.
(-9 + 5)/(5 + 9)
-1
Lines perpendicular have opposite reciprocal slopes
1
Find the middle point of the first line, this is where it will intersect with the bisector.
5 + - 9/2 = 2
-5 + -9/2 = -7
(2,-7) is the midpoint
Use Point Slope Form to reduce it to Standard Form
y + 7 = 1(x - 2)
y + 7 = x - 2
y = x - 9
Answer:
Step-by-step explanation:
Expand 4(1+0.5m): 4+2m
Simplify 4*1+4*0.5m: 4+2m
