Answer:
Yes, there is enough evidence to say the proportions are the same.
Step-by-step explanation:
Null hypothesis: The proportions are the same.
Alternate hypothesis: The proportions are not the same.
Data given:
p1 = 51% = 0.51
n1 = 200
p2 = 48% = 0.48
n2 = 150
pooled proportion (p) = (n1p1 + n2p2) ÷ (n1 + n2) = (200×0.51 + 150×0.48) ÷ (200 + 150) = 174 ÷ 350 = 0.497
Test statistic (z) = (p1 - p2) ÷ sqrt[p(1-p)(1/n1 + 1/n2) = (0.51 - 0.48) ÷ sqrt[0.497(1-0.497)(1/200 + 1/150)] = 0.03 ÷ 0.054 = 0.556
The test is a two-tailed test. At 0.10 significance level the critical values -1.645 and 1.645
Conclusion:
Fail to reject the null hypothesis because the test statistic 0.556 falls within the region bounded by the critical values.
9514 1404 393
Answer:
-19, -18
Step-by-step explanation:
Let x represent the smaller integer. Then the larger is x+1 and their relationship is ...
x +1 = 20 + 2x
-19 = x . . . . . . . . . subtract x+20 from both sides.
The smaller integer is -19; the larger is -18.
The Answer is (D. No solution)
C is the correct answer because in a title, you always want to capitalize the bigger and more describing words.
Hope this helped!
Given situation: The first
2 digit of the 2 different numbers is in the hundred millions place.
Then both numbers also have the same digit.
Now, which is greater. Of the two numbers?
The answer would be the same. The same because they both have the place
value of millions place and they also share the same digits.
Thus, I conclude the both different numbers have the same value.
And since they have the same value, they are equal