Answer:
Note: The full question is attached as picture below
a) Hо : p = 0.71
Ha : p ≠ 0.71
<em>p </em>= x / n
<em>p </em>= 91/110
<em>p </em>= 0.83.
1 - Pо = 1 - 0.71 = 0.29.
b) Test statistic = z
= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]
= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]
= 0.12 / 0.043265
= 2.77360453
Test statistic = 2.77
c) P-value
P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028
P-value = 0.0056
∝ = 0.01
P-value < ∝
Reject the null hypothesis. There is sufficient evidence to support the researchers claim at the 1% significance level.
Answer:
504 km
Step-by-step explanation:
divide 180 by 15 (because 3 hours is 180 minutes)
after you divide you get 12
then multiply 12 by the 42 kilometers and you get 504
Answer:
X:1 2 3 4 5 Y:7 11 15 19 23.
Step-by-step explanation:
We just need to put in the values of x into the equation: y = 4x + 3.
<u>x = 1: </u>
y = 4(1) + 3
= 4 + 3
y = 7
<u>x = 2: </u>
y = 4(2) + 3
= 8 + 3
y = 11
<u>x = 3:</u>
y = 4(3) + 3
= 12 + 3
y = 15
<u>x = 4:</u>
y = 4(4) + 3
= 16 + 3
y = 19
<u>x = 5:</u>
y = 4(5) + 3
= 20 + 3
y = 23
8 over 32 is double 2 over 16
Use distrubutive property <em>a(b + c) = ab + ac</em>
6(5r - 4) - 2(r - 7s - 3)
= (6)(5r) + (6)(-4) + (-2)(r) + (-2)(-7s) + (-2)(-3)
= 30r - 24 - 2r + 14s + 6
= (30r - 2r) + 14s + (-24 + 6)
<h3>= 28r + 14s - 18</h3>
