Durant and Westbrook are playing a three-point challenge game to improve long distance shooting. Each time each of them makes a
1 answer:
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Answer:
A sample of 11352 is needed.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of , and a confidence level of
, we have the following confidence interval of proportions.
In which
z is the zscore that has a pvalue of .
The margin of error is given by:
For this problem, we have that:
400 cards, 120 cases were correct. So
95% confidence level
So , z is the value of Z that has a pvalue of
, so
.
How large a sample n would you need to estimate p with margin of error 0.01 and 95% confidence
We would need a sample of size n, and n is found when . So
Rounding up
A sample of 11352 is needed.
Answer:
Cross multiply.
y × 8 = 24 × 5
Simplify.
8y = 120
Divide each side by 8.
8y ÷ 8 = 120 ÷ 8
Simplify.
y = 15
You can simplify 6/8.
Cross multiply.
y × 4 = 3 · 24
Simplify.
4y = 72
Divide each side by 4.
4y ÷ 4 = 72 ÷ 4
Simplify.
y = 18