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.
Answer:
E
Step-by-step explanation:
2c + 7 > 0
2c > -7
c > -7/2
If c < -7/2
-2c -7 -3 > 4
-2c > 14
c < -7
if c > -7/2
2c + 7 -3 >4
2c >0
c >0
Answer:
Step-by-step explanation:
Add them all up 15 if one is taken out and no replaced OR put back in, then the second draw will have 14 beads.
4 x 6 = 24
15 x 14 = 210
Answer:
- The term 'less than' is used to indicate the relationship between two values.
- The term 'less than' symbolically represented as '<'.
Step-by-step explanation:
- The term 'less than' is used to indicate the relationship between two values.
It expresses that one value will be lesser than the other.
The term 'less than' symbolically represented as '<'.
We can implement certain operations like comparing values, heights, and numbers.
For example, there are 3 pencils in one bag A, and 8 pencils in bag B.
When we compare the two, we can easily observe that bag A has fewer pencils than bag B.
Thus,
Pencils in Bag A < Pencils in Bag A
3 < 8
