Answer:
And the confidence interval would be:
Step-by-step explanation:
Information given:
represent the sample size
represent the estimated proportion
The confidence interval would be given by this formula
For the 98% confidence interval the value of and , with that value we can find the quantile required for the interval in the normal standard distribution.
And replacing into the confidence interval formula we got:
And the confidence interval would be:
Answer:
11. 2/5 = <u>40</u>/100 = <u>40</u>% 12. 29/50 = <u>58</u>/100 = <u>58</u>%
Step-by-step explanation:
To convert the given fraction to a fraction of 100, cross-multiply and divide.
2 × 100 = 200 / 5 = 40
Then, whenever you have a number over 100, all you need to do to get the percentage is find the numerator and add a percent sign at the end of the number.
40 ⇒ 40%
Repeat this with the second question.
29 × 100 = 2900 / 50 = 58 ⇒ 58%
Answer: (13, 47)
The expression t = 4 means that 4 units of time have come off the clock (possibly 4 seconds). Plug this value into each equation given for x and y
x = 2*t + 5 = 2*4 + 5 = 8 + 5 = 13
y = 3*t^2 - 1 = 3*4^2 - 1 = 3*16 - 1 = 48 - 1 = 47
In short, if t = 4 then it leads to x = 13 and y = 47 at the same time. These x and y values pair up to get the final answer (13,47)