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user100 [1]
3 years ago
13

Simplify to create an equivalent expression.

Mathematics
1 answer:
Sergio [31]3 years ago
8 0
This is how I got the answer it’s c

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In the past decades there have been intensive antismoking campaigns sponsored by both federal and private agencies. In one study
astra-53 [7]

Answer:

C. z = 2.05

Step-by-step explanation:

We have to calculate the test statistic for a test for the diference between proportions.

The sample 1 (year 1995), of size n1=4276 has a proportion of p1=0.384.

p_1=X_1/n_1=1642/4276=0.384

The sample 2 (year 2010), of size n2=3908 has a proportion of p2=0.3621.

p_2=X_2/n_2=1415/3908=0.3621

The difference between proportions is (p1-p2)=0.0219.

p_d=p_1-p_2=0.384-0.3621=0.0219

The pooled proportion, needed to calculate the standard error, is:

p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{1642+1415}{4276+3908}=\dfrac{3057}{8184}=0.3735

The estimated standard error of the difference between means is computed using the formula:

s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.3735*0.6265}{4276}+\dfrac{0.3735*0.6265}{3908}}\\\\\\s_{p1-p2}=\sqrt{0.00005+0.00006}=\sqrt{0.00011}=0.0107

Then, we can calculate the z-statistic as:

z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{0.0219-0}{0.0107}=\dfrac{0.0219}{0.0107}=2.05

z=2.05

4 0
3 years ago
tia brought a sweater that was discounted for 20% of the original price. She saved $4.60 with the discount. what was the origina
Ivenika [448]
23
This Website helps find percent 
https://percentagecalculator.net/
8 0
3 years ago
Is the number rational or irrational?
lapo4ka [179]
1. irrational: √48 = 6.92820323028

2. rational: √9 = 3

3. irrational: √39 = 6.2449979984

4. rational: √289 = 14


6 0
3 years ago
A term account earns 3.6%, compounded daily for 3 years. If the amount is $8411.02 at the end of the 3 year period, what was the
ValentinkaMS [17]

Answer:

7550

Step-by-step explanation:

AV=PV(1+\frac{i}{n} )^{nt}\\8411.02=PV(1+\frac{.036}{365})^{365*3}\\8411.02= PV*1.114\\PV= 7550

5 0
3 years ago
Tyler and Erin go out to eat . their food and beverages cost 52.25 and there is an 8% meals tax, how much is the bill? write you
drek231 [11]

Answer:

56.43

Step-by-step explanation:

52.25 + 4.18 (8% tax)

7 0
2 years ago
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