Answer:
b. It will decrease by a factor of 2
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of
, and a confidence interval
, we have the following confidence interval of proportions.
![\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%5Cpm%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
In which
z is the zscore that has a pvalue of
.
The lower end of the interval is given by:
![\pi - z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20-%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
The upper end of the interval is given by:
![\pi + z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=%5Cpi%20%2B%20z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
The length of the interval is the subtraction of the upper end by the lower end, so it is:
![L = 2z\sqrt{\frac{\pi(1-\pi)}{n}}](https://tex.z-dn.net/?f=L%20%3D%202z%5Csqrt%7B%5Cfrac%7B%5Cpi%281-%5Cpi%29%7D%7Bn%7D%7D)
This means that the length is inverse proportional to the square root of the size of the sample.
So, if the sample size is multiplied by 4, the length of the interval is going to decrease by a factor of 2.
Answer:
Unknown
Step-by-step explanation:
Hi! so you didn't add the ordered pair options but I will do my best :) so if you see the ordered pair (0.7) that could definitely be a solution because using the slope intercept form equation you gave I know that's our y Intercept. the slope is 4/1 so moving up 4 and to the right 1 or down 4 and to the left 1 on a graph could show you more points! If you don't want to draw it you could use Desmos and just put this equation in or give me the ordered pairs and I will give you your answer!
hope this helps :)
Exact Form:
x = 34/7
Decimal Form:
x= 4. 857142
Mixed Number Form:
x= 4 6/7
The answer is Internal Validity.
Internal Validity is high in an experiment. when it demonstrates persuasively that changes in behavior are caused by the independent variable and not by unknown factors.
What is Internal Validity?
- Internal validity is defined as the degree to which the observed results represent the truth in the population under investigation and are not the consequence of methodological flaws.
- Internal validity is the degree of certainty that the causal link being examined is reliable and unaffected by other factors or variables.
- The extent to which study results may be extended (generalized) to other contexts, groups, or events is referred to as external validity.
To learn more about Internal Validity visit:
brainly.com/question/9292757
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