Answer:
p-value: 1.000
There is enough evidence at the 1% level of significance to suggest that the proportions are not equal.
Step-by-step explanation:
We will be conducting a difference of 2 proportions hypothesis test
The hypothesis for this test is:
H_0: p1 - p2=0
H_a: p1 - p2 ≠0
(p1 ) = 252/300 = 0.84
(p2) = 195/300 = 0.65
This is a 2 tailed test with a significance level of 1%. So our critical values are: z > 2.575 and z < -2.575
See the attached photo for the calculations for this test
Answer:
For a scaler variable, the Gaussian distribution has a probability density function of
p(x |µ, σ² ) = N(x; µ, σ² ) = 1 / 2π×
The term will have a maximum value at the top of the slope of the 1-D Gaussian distribution curve that is when exp(0) =1 or when x = µ
Step-by-step explanation:
Gaussian distributions have similar shape, with the mean controlling the location and the variance controls the dispersion
From the graph of the probability distribution function it is seen that the the peak is the point at which the slope = 0, where µ = 0 and σ² = 1 then solution for the peak = exponential function = 0 or x = µ