Answer:
proportion of gamers who prefer console does not differ from 29%
Step-by-step explanation:
Given :
n = 341 ; x = 95 ; Phat = x / n = 95/341 = 0.279
H0 : p = 0.29
H1 : p ≠ 0.29
The test statistic :
T = (phat - p) ÷ √[(p(1 - p)) / n]
T = (0.279 - 0.29) ÷ √[(0.29(1 - 0.29)) / 341]
T = (-0.011) ÷ √[(0.29 * 0.71) / 341]
T = -0.011 ÷ 0.0245725
T = - 0.4476532
Using the Pvalue calculator from test statistic score :
df = 341 - 1 = 340
Pvalue(-0.447, 340) ; two tailed = 0.654
At α = 0.01
Pvalue > α ; We fail to reject the null and conclude that there is no significant evidence that proportion of gamers who prefer console differs from 29%
Answer:
6/20 and 9/30
Step-by-step explanation:
Any fraction that can be simplified to 3/10 by dividing the numerator and the denominator is considered equivalent. If you look at the fractions above 6/20 is literally the same thing as 3/10 but I just multiplied the 3 and 10 times 2. As long as you multiply/divide both the numerator and the denominator by the same number the answer you get should be equivalent.
Answer:
Step-by-step explanation:
f(x) is a parabola with vertex (6,3). f(x) means the function is reflected about the y axis. That means the vertex will become (-6, 3) (the x-value gets multiplied by -1). Then adding 3 will move the vertex in the y-direction by +3 (add 3 to the y-value).
Answer:
5/2
Step-by-step explanation:
Phase shift refers to the sin graph movement left or right.
We would have to set x to 1, so factor out the 2.
(2x-5)-> 2(x-5/2)
From this, the phase shift would be 5/2 to the right.
