Find the standard form of the equation of the parabola with a focus at (-2, 0) and a directrix at x = 2.
1 answer:
Answer:
Step-by-step explanation:
The directrix intersects the x-axis at point (2,0). Points (-2,0) and (2,0) are symmetric about the origin, so the vertex of the parabola is placed at the origin (0,0).
The parameter p of the parabola is the distance from the focus to the directrix, thus p=4.
The branches of the parabola go in negative direction of x-axis, because the focus lies to the left from the vertex.
The equation of the parabola is
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Answer:
A) : p=0.5 (At least half of the workers are women,fair)
B) : p<0.5 (Less than half of the workers are women,unfair)
C) critical value of the test statistic is 1.64 (one tailed)
D) Test statistic is ≈ 0.29
E) Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.
Step-by-step explanation:
Let p be the proportion of women workers in the company. Null and alternative hypotheses are
: p=0.5 (At least half of the workers are women,fair)
: p<0.5 (Less than half of the workers are women,unfair)
Test statistic can be found using the equation:
z= where
- p(s) is the sample proportion of women workers (
)
- p is the proportion assumed under null hypothesis. (0.5)
- N is the sample size (55+52=107)
Then z= ≈ 0.29
For alpha 0.05, critical value of the test statistic is 1.64 (one tailed)
Since 0.29<1.64, we fail to reject the null hypothesis. There is no significant evidence that the company has unfair hiring practices at 0.05 significance level.