Answer:
z = 2.1784 > 1.96,
Reject the null hypothesis
Step-by-step explanation:
For the males:
n1 = 162, x1 = 63
P1 = x 1/ n1 = 0.3889
For the Females:
n2 = 333,
x2 = 97
P 2 = x2/n2
= 0.2913
P 1= P2 Null hypothesis
P 1 is not equal to P 2 alternative hypothesis
Pooled proportion:
P= (x1 + x2) /( n1+ n2)
= (63 + 97) / (162 + 333)= 0.3232
Test statistics :
Z= (p1 - p2) /√p(1-p)× (1/n1 + 1/n2)
0.3889- 0.2913 / √0.3232 × 0.6768 × (1/162 +1/333)
=2.1784
c) Critical value :
Two tailed critical value, z critical = Norm.S .INV (0.05/2) = 1.960
Reject H o if z < -1.96 or if z > 1.96
d) Decision:
z = 2.1784 > 1.96,
Reject the null hypothesis
Answer:
Step-by-step explanation:
Two consecutive integers be x and (x+1)
x + x +1 = 7²
2x + 1 = 49
2x = 49 - 1
2x = 48
x = 48/2
x = 24
The consecutive integers are: 24,25
Hello!
The equation for a circle is
(h,k) is the center
r is the radius
Put in the values you know
Simplify
The equation is
Hope this helps!
Answer:
-5y
Step-by-step explanation:
15 = 3×5
55 = 5×11
-15xyz = -1 × 3 × 5 × x × y × z
-55xy² = -1 × 5 × 11 × x × y²
-55yz = -1 × 5 × 11 × y × z
HCF = multiply all common factors with the lowest power amongst all 3 expressions
HCF = -1 × 5 × y = -5y
Answer: plants are same height in 30 days; Plant A is tallest in 6 weeks
Step-by-step explanation:
x = number of days
4 + (2/3)x = 9 + (1/2)x
(2/3)x - (1/2)x = 9 - 4
(1/6)x = 5
x = 30, number of days for Plant A and Plant B to be same height.
6 wks = 42 days
Plant A in 42 days: 4 + (2/3)(42) = 32 inches
Plant B in 42 days: 9 + (1/2)(42) = 30 inches
