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Alexeev081 [22]
3 years ago
14

A researcher has two percentages and wants to know if the percentages are statistically different. The researcher calculates the

z value and finds that it is 4.21. This means that the two percentages: A) Are the same. B) Are not statistically different. C) Have a 421 percent chance of not being different. D) Are statistically different.
Mathematics
1 answer:
love history [14]3 years ago
4 0

Answer:

p_v =2*P(Z>4.21) =2.55x10^{-5}

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

With the p value obtained and using the significance level assumed for example\alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.

D) Are statistically different.

Step-by-step explanation:

The system of hypothesis on this case are:  

Null hypothesis: \mu_1 = \mu_2  

Alternative hypothesis: \mu_1 \neq \mu_2  

Or equivalently:  

Null hypothesis: \mu_1 - \mu_2 = 0  

Alternative hypothesis: \mu_1 -\mu_2\neq 0  

Where \mu_1 and \mu_2 represent the percentages that we want to test on this case.

The statistic calculated is on this case was Z=4.21. Since we are conducting a two tailed test the p value can be founded on this way.

p_v =2*P(Z>4.21) =2.55x10^{-5}

And we can use the following excel code to find it:"=2*(1-NORM.DIST(4.21,0,1,TRUE)) "

With the p value obtained and using the significance level assumed for example\alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the percentage 1 is significantly different from the percentage 2.

And the best option on this case would be:

 D) Are statistically different.

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Llana [10]
Hi!

To solve this we can set up a proportion and cross multiply.

\frac{33}{30}  \frac{x}{100}

33 x 100 = 3300
3300/30 = 110

The answer is 110%

Hope this helps! :)
3 0
3 years ago
Can someone please help me i would just need the answer
o-na [289]

Answer:

80+50P

Step-by-step explanation:

80 is fixed

50 is variable

1 device = 130

2 decices = 180

8 0
3 years ago
A building that is 150 m tall, 100 m wide, and 80 m deep has glass on all sides except the roof and the base.
Airida [17]

Answer:

C. 54,000 m^2

Step-by-step explanation:

2 sides + 2 more sides

2(150x100) + 2(150x80)

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54000m^2

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3 years ago
What is the factorization of the following trinomial? 15x2 - 44x - 36
BartSMP [9]
15x^2-44x-36

=(15x^2+10x)+(-54x-36)

factor out  5x from 15x^2+10x  = 5x(3x+2)

Factor out -18 from -54x-36 =  -18(3x+2)

=5x(3x+2)-18(3x+2)

Factor out common term (3x+2)

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hope this helps!
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3 years ago
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Mariana [72]

Answer:

75.3074525 dgrees

Step-by-step explanation:

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29/sin(115 degrees) = 13/sin(B)

==> B = 0.418374736 rad

or 75.3074525 dgrees

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