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Andreyy89
3 years ago
13

How can a diagram help you know the exact answer

Mathematics
1 answer:
ASHA 777 [7]3 years ago
6 0
What type of diagram?
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A TV station claims that 38% of the 6:00 - 7:00 pm viewing audience watches its evening news program. A consumer group believes
Elena L [17]

Answer:

z=\frac{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374  

p_v =P(Z  

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 people that regularly watch the TV station’s news program is significantly less than 0.38 .  

Step-by-step explanation:

1) Data given and notation

n=830 represent the random sample taken

X=282 represent the people that regularly watch the TV station’s news program

\hat p=\frac{282}{830}=0.340 estimated proportion of people that regularly watch the TV station’s news program

p_o=0.38 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 the proportion is less than 0.38:  

Null hypothesis:p\geq 0.38  

Alternative hypothesis:p < 0.38  

When we conduct a proportion test we need to use the z statisitc, 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{0.340 -0.38}{\sqrt{\frac{0.38(1-0.38)}{830}}}=-2.374  

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 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=0.05 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 people that regularly watch the TV station’s news program is significantly less than 0.38 .  

3 0
3 years ago
If the probability of rain today is 15%, what is the probability that it will not
EleoNora [17]

The probability that will not rain today is: 85%

100% - 15% = 85%

The correct answer is A

6 0
3 years ago
1)4-2(x + 19) = 50<br> 2)7(x-3)-14=70
zalisa [80]
2x+38=50
2x+38-38=50 -38
2x =12
2x/2 =12/2
x=6
8 0
3 years ago
Read 2 more answers
Area is 180,length is 1 1/4,what is the width
rusak2 [61]
180 is the area and the length is 1.25 so we need to find the width. We need to divide 180/1.25 which is 144.
144*1.25 is 180
The width is 
144
7 0
3 years ago
Read 2 more answers
Can somebody help me on this thank you it will mean a lot
MaRussiya [10]

Answer:

your will be A

Step-by-step explanation:

hoped i helped and can i get brainiest pls

5 0
3 years ago
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