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Answer: The filled out table is shown below in the attached image
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Explanation:
The letters A through J are one way to fill out the table. Though there are other possible orders.
Start at letter A, which is from the fact we have 40 people total
Then move to letter B. This is the total number who like pasta (26)
We have C = A-B = 40-26 = 14 people who don't like pasta
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Now move to cell D. This is the total who don't like netball, which is 21 people. There are E = A-D = 40-21 = 19 people who do like netball.
F = 4 is the number of people who don't like either thing (netball or pasta). So G = D-F = 21-4 = 17 people like pasta but don't like netball.
Of those people who like netball (E = 19), we have 9 who also like pasta. This is in cell H in the upper left corner. This means J = E-H = 19-9 = 10 people like netball but don't like pasta.
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So we have these values
- A = 40
- B = 26
- C = 14
- D = 21
- E = 19
- F = 4
- G = 17
- H = 9
- J = 10
Answer:
The 95% confidence interval for the population proportion is (0.778, 0.884).
Step-by-step explanation:
We have to calculate a 95% confidence interval for the proportion.
The sample proportion is p=0.831.
The standard error of the proportion is:
The critical z-value for a 95% confidence interval is z=1.96.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 95% confidence interval for the population proportion is (0.778, 0.884).