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Troyanec [42]
3 years ago
8

Find the sum of the three expressions and choose the correct answer. 2x 2 y 2 - 7xy + 5y 2 8xy - 3y 2 x 2 y 2 + 4y 2

Mathematics
1 answer:
Readme [11.4K]3 years ago
4 0
2x^2y^2 - 7xy + 5y^2 + 8xy - 3y^2 + x^2y^2 + 4y^2

3x^2y^2 - 7xy + 5y^2 + 8xy -3y^2 + 4y^2

3x^2y^2 + xy + 5y^2 - 3y^2 + 4y^2

3x^2y^2 + xy +6y^2
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Ten years ago 53% of American families owned stocks or stock funds. Sample data collected by the Investment Company Institute in
Alborosie

Answer:

a) Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

b) z=\frac{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429  

p_v =P(Z

c) So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

Step-by-step explanation:

Data given and notation

n=300 represent the random sample taken

\hat p=0.46 estimated proportion of American families owning stocks or stock funds

p_o=0.53 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  

Part a

We need to conduct a hypothesis in order to test the claim that proportion is less than 0.53 or 53%.:  

Null hypothesis:p\geq 0.53  

Alternative hypothesis:p < 0.53  

Part b

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{0.46 -0.53}{\sqrt{\frac{0.53(1-0.53)}{300}}}=-2.429  

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 left tailed test the p value would be:  

p_v =P(Z

Part c  

So the p value obtained was a very low value and using the significance level given \alpha=0.01 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 1% of significance the proportion of American families owning stocks or stock funds is significantly less than 0.53 .  

7 0
2 years ago
Expand and simplify (2x+1)(x+3)
Len [333]

Answer:

2x^2+7x+3

Step-by-step explanation:

(2x+1)(x+3)

2x^2+x+6x+3

2x^2+7x+3

3 0
3 years ago
Helo helo hell hell help
Ymorist [56]

Answer:

C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Johnny has 6 apples, 12 bananas and 14 strawberries. write in simplest form.
julsineya [31]

Answer:

a=apples

b=bananas

s=strawberries

6a, 12b, 14s

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Need help with solving a 2x2 system of linear equations<br><br> PLEASE HELP ME
Yakvenalex [24]
\bf \begin{array}{llll}&#10;-5x-y=5\\&#10;-5x+y=5\\&#10;-------\\&#10;-10x+0=10&#10;\end{array}\implies -10x=10\implies x=-1

so if x = -1, let's plug that in the second equation

-5(-1)+y = 5
5+y = 5
y = 0
7 0
3 years ago
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