Answer:
The 95% (two-sided) confidence interval for the proportion of all dies that pass the probe is (0.462, 0.566).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.

In which
Z is the zscore that has a pvalue of
.
For this problem, we have that:
356 dies were examined by an inspection probe and 183 of these passed the probe. This neabs that 
95% confidence interval
So
, z is the value of Z that has a pvalue of
, so
.
The lower limit of this interval is:

The upper limit of this interval is:

The 95% (two-sided) confidence interval for the proportion of all dies that pass the probe is (0.462, 0.566).
Answer:
61 tickets
Step-by-step explanation:
It is given that,
The total profit from the Spanish club fund-raiser varies directly with the number of dinner tickets sold.
If the sale of 22 tickets results in a profit of $253.
Profit in 1 ticket = 
Let x tickets are sold in order to reach the fund-raising goal of $700.

or
= 61 tickets
Hence, 61 tickets must be sold to reach the fund-raising goal of $700.
Answer:
the answer is 4
Step-by-step explanation:
Answer: 10,098 votes
Step-by-step explanation:
The ratio is 7 : 4 which means that for every 7 yes votes, there were 4 no votes.
To find the total votes, add the ratios:
= 7 + 4
= 11
4/11 are the no votes out of the total. Assuming the total is x, the formula is:
4/11x = 3,672
x = 3,672 / 4/11
x = 10,098 votes