That Equals = -60i. Hope im right :) Good luck
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
75-31= 44
44/75= 0.58666 or 58.7%
Subtract 31 from 75 since we're figuring out greater than or "equal to" we want to include the number 32 in our equation. If it was only "greater than" 32 then we'd subtract 32 from 75. Then you divide that number(44) by 75, which is all the possible outcomes you could have in this scenario. Move the decimal two places to the right to make it a percentage and you've got your answer.
