Answer:
y = x - 12
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - x ← is in slope- intercept form
with slope m = - , c = 0
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y = x + c ← is the partial equation
To find c substitute (3, - 8) into the partial equation
- 8 = 4 + c ⇒ c = - 8 - 4 = - 12
y = x - 12 ← equation of perpendicular line
Answer:
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
<em>There is a difference between the two Population proportions</em>
Step-by-step explanation:
<u><em>Step(i)</em></u>:-
Given first sample size (n₁) = 50
Given proportion of the first sample p⁻₁= 0.2
Given second sample size (n₂) = 50
Given proportion of the second sample p₂⁻ = 30/50 = 0.6
<em>Null Hypothesis : H₀: p₁⁻=p₂⁻</em>
<em>Alternative Hypothesis : H₁: p₁⁻≠p₂⁻</em>
<u><em>Step(ii):-</em></u>
Z-statistic
Where
<em>Z-statistic</em>
Z = -4.089
Level of significance =0.10
Z₀.₁₀ = 1.645
|Z| = |-4.089| > 1.645 at 0.10 level of significance
Null hypothesis is rejected at 0.10 level of significance
<u><em>Final answer</em></u>:-
<em>There is a difference between the two Population proportions</em>