Answer:
Step-by-step explanation:
Given that sample size is 130 >30. Also by central limit theorem, we know that mean (here proportion) of all means of different samples would tend to become normal with mean = average of all means(here proportions)
Hence we can assume normality assumptions here.
Proportion sample given = 92/130 = 0.7077
The mean proportion of different samples for large sample size will follow normal with mean = sample proportion and std error = square root of p(1-p)/n
Hence mean proportion p= 0.7077
q = 1-p =0.2923
Std error = 0.0399
For 95% confidence interval we find that z critical for 95% two tailed is 1,.96
Hence margin of error = + or - 1.96(std error)
= 0.0782
Confidence interval = (p-margin of error, p+margin of error)
= (0.7077-0.0782,0.7077+0.0782)
=(0.6295, 0.7859)
We are 95% confident that average of sample proportions of different samples would lie within these values in the interval for large sample sizes.
Answer:
n=9
Explanation:
First, let's give a name to the number we are looking for and call it n.
So we can then write "A number is divided by 3" as n3
To add 5 to the quotient would then give us the expression n3+5
If this results in 8 we can finally write the equation we are trying to solve and solve the equation for n while keeping the equation balanced:
n3+5=8
n3+5−5=8−5
n3+0=3
n3=3
3⋅n3=3⋅3
1n=9
n=9
Answer:
rational
Step-by-step explanation:
A rational number has the form
← where a and b are integers
3.2 = 
← a rational number
Answer: 410,000
Step-by-step explanation:
The 6 gets rounded up and that turns the 9 into a 10
