Answer:
z=-1.591
Step-by-step explanation:
Null Hypotheses,
So we use z-test for one population proportion (right-tailed test)
According to this informaton, we defined that
(critical value)
So our Rejection region is 
Not rejection.
Answer:
Sample Response: First, the like terms had to be combined using the lowest common denominator (LCD). Then the subtraction property of equality was used to isolate the variable term. Finally, both sides of the equation were multiplied by the reciprocal of the coefficient to solve for a.
Step-by-step explanation:
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:
970,200
Step-by-step explanation:
In a 100 man race, how many runners have the chance to finish first?
Answer 100.
Now that 1 person is first, how many runners could be second? Well, there are still 99 runners left, and any one of them could be second.
Answer 99.
How many can be third? Using the same idea as above, once one person is first and another is second, that leaves 98 people still running and trying for third. So how many can be in third?
Answer 98.
Now you need to do the math.
100 × 99 × 98 = 970,200
So there are 970,200 different ways.
Hope this helps!! Brainliest :) ?
