Given the equation of the function:
The given function represents a parabola
We will make a complete square to find the coordinates of the vertex
The coefficient of x = 4
Half the coefficient of x = 2
Square it give = 4
So, we will add and subtract 4
Compare the last equation with the vertex form of the parabola
So, h = -2, k = -11
So, the answer will be the coordinates of the vertex = (-2, -11)
Answer: a. 0.1031; fail to reject the null hypothesis
Step-by-step explanation:
Given: Significance level :
The test statistic in a two-tailed test is z = -1.63.
The P-value for two-tailed test : [By p-value table]
Since, 0.1031 > 0.05
i.e. p-value >
So, we fail to reject the null hypothesis. [When p< then we reject null hypothesis ]
So, the correct option is a. 0.1031; fail to reject the null hypothesis.