We have five samples of data: sample A with 30 successes of 50 cases, sample B with 600 successes of 1000 cases, sample C with 3000 successes of 5000 cases, sample D with 60 successes of 100 cases and sample E with 300 successes of 500 cases. We want to test if the proportion of successes is greater than 0.5. Which sample gives the strongest evidence for the alternative hypothesis

C with 3000 successes of 5000 cases

Step-by-step explanation:

In test statistics the number of samples goes a long way in determining the result of a test.

Using the z score formula

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

Therefore the z score is directly proportional to the square root of the sample size.

z ∝ √n

The higher the sample size, the higher the z score, the higher the evidence of confirming the alternative hypothesis.

Since the all have the same proportion (0.6), and options c has the highest sample size (5000 cases), it will give the strongest evidence for the alternative hypothesis

i don't have the answer rn but go to math papa. it shows the steps and the answer. hope this : )

step-by-step explanation:

answer 1 : option "c"

answer 2 : option "d"

answer 3 : option "b"

answer 4 : option "d"

answer 5 : option "b"

answer 6 : option "a"

answer 7 : option "c"

answer 8 : option "d"

answer 9 : option "c"

answer 10 : option "d"

answer 11 : option "c"

answer 12 option "b"

answer 13 option "c"

answer 14 option "c"

answer 15 option "d"

answer 16 option "a"

answer 17 option "b"

answer 18 option "c"

answer 19 option "a"

answer 20 option "a"

answer 21 option "c"

d