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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:
1.2a+a=33
2.3a=33
3.a=11
Step-by-step explanation:
If a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%
The annual interest rate = 23%
The credit card interest rate the amount you have to pay to borrow the money from them. The credit card interest rate is usually expressed in yearly rate. This is called annual percentage rate.
The monthly interest rate = 
= 
= 1.0174
Then,
= (1.0174-1) × 100%
Subtract the terms first
= 0.0174 × 100%
Multiply it
= 1.74%
Hence, if a credit card advertises an annual interest rate of 23%, then the equivalent monthly interest rate is 1.74%
Learn more about annual percentage rate here
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