Answer:
C. with 3000 successes of 5000 cases sample
Step-by-step explanation:
Given that we need to test if the proportion of success is greater than 0.5.
From the given options, we can see that they all have the same proportion which equals to;
Proportion p = 30/50 = 600/1000 = 0.6
p = 0.6
But we can notice that the number of samples in each case is different.
Test statistic z score can be calculated with the formula below;
z = (p^−po)/√{po(1−po)/n}
Where,
z= Test statistics
n = Sample size
po = Null hypothesized value
p^ = Observed proportion
Since all other variables are the same for all the cases except sample size, from the formula for the test statistics we can see that the higher the value of sample size (n) the higher the test statistics (z) and the highest z gives the strongest evidence for the alternative hypothesis. So the option with the highest sample size gives the strongest evidence for the alternative hypothesis.
Therefore, option C with sample size 5000 and proportion 0.6 has the highest sample size. Hence, option C gives the strongest evidence for the alternative hypothesis
Answer:
x=1
Step-by-step explanation:
So we are talking about parabola functions.
All parabolas (even if they aren't functions) have their axis of symmetry going through their vertex.
For parabola functions, your axis of symmetry is x=a number.
The "a number" part will be the x-coordinate of the vertex.
The axis of symmetry is x=1.
Answer:
B:14
Step-by-step explanation:
Answer:
22 ft
Step-by-step explanation:
Height of Susan/Length of shadow = Height of sculpture/Length of Shadow of sculpture
5.5 ft/4 ft = x/16ft
Cross Multiply
4 × x = 5.5 × 16
x = 5.5 × 16/4
x = 22 ft
The height of the sculpture is 22 ft
Answer:
Andre have more money after 4 weeks and after 6 week they have same amount of money.
Step-by-step explanation:
When Andre =100 then Elena =10.
After 4 week,
Andre = 100+(5*4)=100+20=120
In this time Elena = 10+(20*4) =10+80 = 90
After more 2months Andre have more 5+5=10
Then his total balance will be 120+10=130.
Than Elena after 2 week have 20+20=40.
Then her total balance will be 90+40=130.
That's mean 4 weeks+ extra 2 weeks total 6 weeks
