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jeka57 [31]
3 years ago
6

At a museum 100 posters are displayed in each of four rooms altogether how many posters are displayed

Mathematics
1 answer:
aleksandr82 [10.1K]3 years ago
5 0
25 posters in each room.
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Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the pre
choli [55]

Answer:

z=\frac{0.4 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717  

p_v =P(z  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 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 people that have traded in their old car is lower than 0.48 or 48%.  

Step-by-step explanation:

Data given and notation

n=115 represent the random sample taken

X=46 represent the number of people that have traded in their old car.

\hat p=\frac{46}{115}=0.4 estimated proportion of people that have traded in their old car

p_o=0.48 is the value that we want to test

\alpha=0.1 represent the significance level

Confidence=90% or 0.9

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 proportion is less than 0.48.:  

Null hypothesis:p\geq 0.48  

Alternative hypothesis:p < 0.48  

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{0.4 -0.48}{\sqrt{\frac{0.48(1-0.48)}{115}}}=-1.717  

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=0.1. 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  

So the p value obtained was a very low value and using the significance level given \alpha=0.1 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 people that have traded in their old car is lower than 0.48 or 48%.  

4 0
3 years ago
If you rotate a right triangle, what feature of the triangle changes?
Nastasia [14]
<span><span>Answer
No feature changes.

</span><span>Explanation
</span><span>There is no feature of the right triangle that changes. Rotation only changes the position of the triangle.
The angles remains the same and the lengths remains.</span></span>
8 0
3 years ago
Read 2 more answers
Kendal ate 27 1/2 cookies in 5 1/2 minutes. How many cookies does she eat per minute?
hjlf

Answer:

5

Step-by-step explanation:

Kendall needs to lay off of the cookies lol

5 0
3 years ago
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What is missing for the following quantity to be true? 3x + 4y + 7a = 4y + 3x + __
Alex
The answer to your question is 7a.

4 0
3 years ago
Chọn ngẫu nhiên 15 sản phẩm từ 1 lô hàng có tỉ lệ sản phẩm loại 1 là 10%. Tìm xác suất để trong 15 sản phẩm chọn được có:
lara31 [8.8K]

Answer:

...................................

5 0
3 years ago
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