1/4x + 1 + 3/4c - 2/3 - 1/2x what is it equal to??
1 answer:
Answer:
Step-by-step explanation:
<h2>We can't solve it but we can simplify</h2>- 1/4x+1+3/4c-2/3-1/2x, try to move the equation around. Since the operations are in the same level we can do that.
- 1/4x-1/2x+(1-2/3)+(3/4c), 1/4 minus 1/2 can be written as 0.25-0.50 which is -0.25 or -1/4 don't forget to add x (we can do this since there like terms)
- -1/4x+(1-2/3)+(3/4c), now we can convert 1 into a fraction which will become 3/3, so we can rewrite is as 3/3-2/3, which is 1/3
- -1/4x+1/3+3/4c, We can't simplify anymore so this is our final answer.
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Answer:
a) the sample proportion planning to vote for Candidate Y is
b) the standard error of the sample proportion is ≈ 0.024
c) 95% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y is (0.353,0.447)
d) 98% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y is (0.344,0.456)
Step-by-step explanation:
a) The sample proportion planning to vote for Candidate Y is:
b) The standard error of the sample proportion can be found using
SE= where
- p is the sample proportion planning to vote for Candidate Y (0.4)
- N is the sample size (400)
Then SE= ≈ 0.024
c) 95% confidence interval for the proportion of the registered voter population who plan to vote for Candidate Y can be calculated as p±z×SE where
- p is the sample proportion planning to vote for Candidate Y (0.4)
- SE is the standard error (0.024)
- z is the statistic for 95% confidence level (1.96)
Then
0.4±(1.96×0.024)=0.4±0.047 that is (0.353,0.447)
d) 98% confidence interval is similarly
0.4±(2.33×0.024)=0.4±0.056 that is (0.344,0.456) where
2.33 is the statistic for 98% confidence level.