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Ilia_Sergeevich [38]
3 years ago
15

Need help with number 4 plz

Mathematics
1 answer:
katrin [286]3 years ago
8 0

Remark

The first thing you should do is get a graph for this, so you can actually see what is going on. Then solve for slope y intercept. I put the graph into Desmos without a solution expression for y.

Graph Solution

The graph 3x - y + 1  = 0 shows you were the y intercept is. You can use this graph to draw your own along with a table.

Find slope y intercept form

3x - y + 1 = 0             Add y to both sides.

3x - y + y + 1 = y

y = 3x + 1

Answer

m is always the number in front of x when written in the slope intercept form.


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CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]

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The 98% confidence interval for population proportion is:

CI_{p}=[\hat p-z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} },\ \hat p+z_{(\alpha /2)}\times\sqrt{\frac{\hat p (1-\hat p)}{n} }]\\=[0.31-2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} },\ 0.31+2.33\times \sqrt{\frac{0.31\times(1-0.33)}{5046} } ]\\=[0.31-0.0152,\ 0.31+0.0152]\\=[0.2948,0.3252]\\\approx[0.30,\ 0.33]

Thus, the 98% confidence interval [0.30, 0.33] implies that there is a 0.98 probability that the population proportion of people who refuse evacuation is between 0.30 and 0.33.  

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