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lisabon 2012 [21]
3 years ago
12

Write in standard form: 22.2 x 10^5

Mathematics
1 answer:
garri49 [273]3 years ago
3 0
2220000
 
it just means that 22.2 needs to be multiplied by 10, 5 times, so just move the decimal five to the right.
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rewona [7]
Your answer will be 1.49
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2 years ago
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According to a Washington Post-ABC News poll, 331 of 502 randomly selected U.S. adults interviewed said they would not be bother
k0ka [10]

Answer:

z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124  

p_v =P(z>7.124)=5.24x10^{-13}  

So the p value obtained was a very low value and using the significance level given \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 proportion of interest is significantly higher than 0.5.  

Step-by-step explanation:

Data given and notation

n=502 represent the random sample taken

X=331 represent the adults that said they would not be bothered if the NAtional security agency

\hat p=\frac{331}{502}=0.659 estimated proportion of people who would not be bothered if the NAtional security agency

p_o=0.5 is the value that we want to test

\alpha=0.01 represent the significance level

Confidence=99% or 0.99

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that the true proportion is higher than the majority of 0.5:  

Null hypothesis:p\leq 0.5  

Alternative hypothesis:p > 0.5  

When we conduct a proportion test we need to use the z statistic, and the is given by:  

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

The One-Sample Proportion Test is used to assess whether a population proportion \hat p is significantly different from a hypothesized value p_o.

Calculate the statistic  

Since we have all the info requires we can replace in formula (1) like this:  

z=\frac{0.659 -0.5}{\sqrt{\frac{0.5(1-0.5)}{502}}}=7.124  

Statistical decision  

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.  

The significance level provided \alpha=0.01. The next step would be calculate the p value for this test.  

Since is a right tailed test the p value would be:  

p_v =P(z>7.124)=5.24x10^{-13}  

So the p value obtained was a very low value and using the significance level given \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 proportion of interest is significantly higher than 0.5.  

4 0
3 years ago
Complete the third step to solve the equation.
AlekseyPX

Step-by-step explanation:

8x = 1

x = 1/8

So x = 1/8 is the correct answer

5 0
2 years ago
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Colby and jaquan are growing bacteria in an experiment in a laboratory. Colby starts with 50 bacteria in his culture and the num
Oksanka [162]

Answer:

3) y = 50 * 2¹²ˣ

2) y = 80 * 2⁸ˣ

Step-by-step explanation:

1 day = 24 hours

Number of 2-hour periods in 1 day = 24 ÷ 2 = 12

Number of 3-hour periods in 1 day = 24 ÷ 3 = 8

Colby's experiment:

y = 50 * 2¹²ˣ

Jaquan's experiment:

y = 80 * 2⁸ˣ

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3 years ago
Pls tell the answer​
Mrrafil [7]
i believe this is it, ik it’s long but use this

5 0
3 years ago
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