The margin of error for a sample proportion is given by

where:

is the z score associated with the confidence level, p is the sample prortion and n is the sample size.
We assume a confidence level of 95%, then
p = 52% = 0.52 and n = 2251
Therefore, margin of error =

The the interval that is likely to contain the true population proportion is between 49.9% and 54.1%.
Answer:
The approximate age of the bone is approximately 11552 years.
Step-by-step explanation:
The current proportion of carbon-14 with respect to its original amount is defined by following formula:
(1)
Where:
- Current amount of carbon-14, no unit.
- Initial amount of carbon-14, no unit.
- Time, in years.
If we know that
, then the approximate age of the bone is:


The approximate age of the bone is approximately 11552 years.
Wouldn’t the total for 13 tickets be $446.40 ? We already know the cost for 5 and 8 just add it up .... js
Answer:
The p-value would be 0.0939
Step-by-step explanation:
We can set a standard t-test for the Null Hypothesis that 
The test statistic then takes the form

with this value we then can calculate the probability that is left to the right of this value
. From theory we know that t follows a standard normal distribution. Then
which is smaller than the p-value set by Breyers of 0.10