Is y – 2 = –5(x – 2) a linear function
1 answer:
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Answer:
a. With 90% confidence the proportion of all Americans who favor the new Green initiative is between 0.6290 and 0.6948.
b. If the sample size is changed, the confidence interval changes as the standard error depends on sample size.
About 90% percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about 10% percent will not contain the true population proportion.
Step-by-step explanation:
We have to calculate a 90% confidence interval for the proportion.
The sample proportion is p=0.6619.
The standard error of the proportion is:
The critical z-value for a 90% confidence interval is z=1.6449.
The margin of error (MOE) can be calculated as:
Then, the lower and upper bounds of the confidence interval are:
The 90% confidence interval for the population proportion is (0.6290, 0.6948).
Answer:
13.
14.
15.
16.
17.
Step-by-step explanation:
Let "a", "b", and "c" real numbers.
- Commutative Property of Addition states that:
- Associative Property of Addition states that:
- Additive Identity Property states that:
- Commutative Property of Multiplication states that:
- Multiplicative Inverse Property states that:
(
)
Knowing these properties, we can solve the exercise:
13. By the Commutative Property of Addition:
14. By the Associative Property of Addition:
15. By the Additive Identity Property:
16. By the Multiplicative Inverse Property:
17. By the Commutative Property of Multiplication: