Answer: (a)
P - Value = 0.0981 is high, this indicates stronger evidence that we should fail to reject the null hypothesis: H0: pD = pR (There is no significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election). P - Value = 0.0981 is the probability of obtaining results at least as extreme as the observed results of the Hypothesis Test, assuming that the null hypothesis is correct.
(b)
Since P - Value = 0.0981 is greater than \alpha = 0.05, the difference is not significant. Fail to reject null hypothesis.
(c)
Since in the Hypothesis Test, we have failed to reject null hypothesis, we could have made: Type II Error: Failure to reject a false null hypothesis. One potential consequence of this error is as follows:
Suppose in reality there is significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. But the political pollster wrongly concludes that there is no significant difference between the proportion of Democrats who plan to vote for the Democratic candidate in the upcoming election and the proportion of Republicans who plan to vote for the Republican candidate in the upcoming election. Type II Error is committed in this situation. The consequence of this Type II Error is that the political pollstar will that the political parties are loyal and will not do any follow up work whereas in reality it is not so.
Step-by-step explanation:
got this from chegg!!!
Answer:sin240
Step-by-step explanation:
Sin300=(-√3)/2
Sin240=(-√3)/2
So sin300 is equivalent to sin240
Answer:
Equation in square form:

Extreme value:

Step-by-step explanation:
We are given

we can complete square

we can use formula


now, we can add and subtract 5^2



So, we get equation as

Extreme values:
we know that this parabola
and vertex of parabola always at extreme values
so, we can compare it with

where
vertex=(h,k)
now, we can compare and find h and k

we get
h=-5
k=-4
so, extreme value of this equation is
