Answer and explanation:
Null hypothesis(H0) says sentiment for increasing speed limit in the two populations is the same
Alternative hypothesis(Ha) says sentiment for increasing speed limit in the two populations is different
Where p1 is the first population proportion =65/297= 0.22
And p2 is the second population proportion = 78/189= 0.41
P= p1+p2/n1+n2= 65+78/297+189= 0.29
Hence H0= p1-p2=0
Ha=p1-p2≠0
Test statistic= p1-p2/√p(1-p) (1/n1+1/n2)
= 0.22-0.41/√0.29(1-0.29)(1/297+1/189)
= -4.49
Critical value at 95% significance level= 1.96( from tables)
We therefore reject null hypothesis as critical value is greater than test statistic
Therefore the sentiment for increasing speed limit in the two populations is different
b. at proportions of 0.24 and 0.40 for p1 and p2 respectively
Test statistic = 0.24-0.40/0.29(1-0.29)(1/297+1/189)
= -3.78
P value is 0.0002 at 0.05 significance level
Hence probability =0.4998
Solution:
Given:
Since b and d are nonzero elements, then it is the product of two rational numbers.
Multiplying two rational numbers produces another rational number.
Therefore, the product is a rational expression.
OPTION C is the correct answer.
Answer:
I would say D. There is no logical explanation for the final answer but there is for everything else.
For A: Makes sense because 3x-2 are in parenthesis outside a number so you can multiply.
For B: Makes sense because you are allowed to add/subtract like terms but in this case only subtracting would make sense, (which is what they did) since you want to get all the like terms on one side.
For C: Makes sense because you are trying to simplify the equation, and they are both like terms (they are both numbers that have no letter attached to them) and they are on the opposite side making them able to be simplified.
For D: No idea what the point is.
You do pemdas and the answer should be 27
