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Cerrena [4.2K]
3 years ago
7

Which of the following can cause market failure?

Mathematics
1 answer:
nalin [4]3 years ago
5 0

Answer: C

Step-by-step explanation: not enough information

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In a poll of 1000 adults in July​ 2010, 540 of those polled said that schools should ban sugary snacks and soft drinks. Complete
erastova [34]

Answer:

z=2.53  

p_v =P(z>2.53)=0.0057  

The p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so then we have enough evidence to reject the null hypothesis, and we can say that at 5% of significance, the proportion of adults who support a ban on sugary snacks and soft​ drinks  is more than 0.5 or 50%.

Step-by-step explanation:

1) Data given and notation

n=1000 represent the random sample taken

X=540 represent the adults that said that schools should ban sugary snacks and soft drinks

\hat p=\frac{540}{1000}=0.54 estimated proportion of adults that said that schools should ban sugary snacks and soft drinks

p_o=0.5 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95

z would represent the statistic (variable of interest)

p_v represent the p value (variable of interest)  

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to test the claim that majority of adults​ (more than​ 50%) support a ban on sugary snacks and soft​ drinks, the system of hypothesis are:  

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.

3) Calculate the statistic  

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

z=\frac{0.54 -0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}=2.53  

4) 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=0.05. The next step would be calculate the p value for this test.  

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

p_v =P(z>2.53)=0.0057  

So the p value obtained was a very low value and using the significance level given \alpha=0.05 we have p_v so then we have enough evidence to reject the null hypothesis, and we can say that at 5% of significance, the proportion of adults who support a ban on sugary snacks and soft​ drinks  is more than 0.5 or 50%.

7 0
3 years ago
Solve the system of equations by substitution. Write your solution as an ordered pair
attashe74 [19]
X + 8x = 81
9x = 81, x = 9
y = 8(9), y = 72
Solution: (9, 72)
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What formula should be entered in A3 to compute A1 times B1?
oksano4ka [1.4K]

The formula that should be entered in A3 is = A1 * B1

<h3>How to determine the formula?</h3>

The question implies that:

A3 = A1 times B1

In mathematics, the term "times" means *

So, we have:

A3 = A1 * B1

Remove the variable A3

= A1 * B1

Hence, the formula that should be entered in A3 is = A1 * B1

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Which exponential model best represents the data? O f(x) = 3(1.2) O f(x) = 2(0.3)* O f(x) = 2(3)* O f(x) = 3(0.2)*​
aleksley [76]

The exponential model has an initial value of 3

The exponential model of the data is f(x) = 3 * (1.2)^x

<h3>How to determine  the exponential model?</h3>

From the complete question,we have the following parameters:

  • Initial value, a = 3
  • Growth rate, r = 0.2

The exponential model is then calculated as:

f(x) = a * (1 + r)^x

Substitute known values

f(x) = 3 * (1 + 0.2)^x

Evaluate the sum

f(x) = 3 * (1.2)^x

Hence, the exponential model of the data is f(x) = 3 * (1.2)^x

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the smaller rectangle is a 1/4 scale drawing of the original figure. Use the drop-down menus to show the missing dimensions of t
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Answer:the answer is 363

Step-by-step explanation:

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3 years ago
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