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Feliz [49]
3 years ago
14

Can u help me please ?

Mathematics
1 answer:
harina [27]3 years ago
6 0
Check the attached file and let me know what you think.
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12. Using the value of 0.538 for the proportion of those surveyed who said they exercise at least 30 minutes three or more days
ICE Princess25 [194]

Answer:

ME=1.96\sqrt{\frac{0.538 (1-0.538)}{15235}}=0.00792    

The margin of error on this case is approximated \pm 0.792\% who is very clos to the +1% reported by the Gallup.

Step-by-step explanation:

Assuming this previous info : "Results are based on telephone interview conducted as part of the Gallup-Healthways Well-Being Index survey June 1–30,2013, with a random sample of 15,235 adults, aged 18 and older, living in all 50 U.S. states and the District of Columbia.

For results based on the total sample of national adults, one can say with 95% confidence that the maximum margin of sampling error is ±1 percentage point."

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 95% of confidence, our significance level would be given by \alpha=1-0.95=0.05 and \alpha/2 =0.025. And the critical value would be given by:

z_{\alpha/2}=-1.96, z_{1-\alpha/2}=1.96

The estimated proportion on this case is \hat p =0.538 and n =15235, the margin of error is given by:

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)

And if we replace we got:

ME=1.96\sqrt{\frac{0.538 (1-0.538)}{15235}}=0.00792    

The margin of error on this case is approximated \pm 0.792\% who is very clos to the +1% reported by the Gallup.

5 0
2 years ago
Type an integer or decimal 0.16(y-5)+0.12y=0.20y-0.9
Over [174]

Answer:

16y

Step-by-step explanation:

4 0
3 years ago
If a person walks 2.4 miles in i.5hours how far can he walk in 3hours
Lubov Fominskaja [6]
I used the cross product method
5x = 2.4 •3
5x=7.2
7.2divided by 5
1.44 miles in 3 hours

Hope I helped
8 0
2 years ago
Can someone please answer this and explain how you got it? Or just show your work for it please and thank u <3
serg [7]

Answer:

please mark me as brainlist please

Step-by-step explanation:

we know, ∠BGA = 90

In right angled triangle BGA

AB = 12 cm (diameter of circle)

⇒ (AB)2 = (AG)2 + (BG)2

⇒ 122 = 82 + (BG)2

⇒ BG = 4√5

In right angled triangle BCG

Let CG be x cm.

⇒ (BC)2 = (CG)2 + (BG)2

⇒ (BC)2 = x2 + (4√5)2 ----(1)

As we know,

⇒ (BC)2 = CG × CA ----(2)

From equation (1) and equation (2)

⇒ x2 + (4√5)2 = x × (x + 8)

⇒ x2 + (4√5)2 = x2 + 8x

⇒ 8x = 80

⇒ x = 10 cm

From equation (2)

⇒ (BC)2 = CG × CA

⇒ (BC)2 = 10 × 18 = 180

⇒ BC = √180 = 6√5

6 × 5 = 30

5 0
2 years ago
(2x + y) (2x + 2y) =
IceJOKER [234]

Answer: 4x^2 + 6xy + 2y^2

Step-by-step explanation:

(2x + y)(2x + 2y) =

2x*2x + 2x*2y + y*2x + y^2y =

4x^2 + 4xy + 2xy + 2y^2 =

4x^2 + 6xy + 2y^2

3 0
2 years ago
Read 2 more answers
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