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Alexeev081 [22]
3 years ago
5

A bakery sells 5 apple muffins for every 2 bran muffins sold.Which table shows this ratio?

Mathematics
1 answer:
Mama L [17]3 years ago
6 0
The answer will be B

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The number of events is 29​, the number of trials is 298​, the claimed population proportion is​ 0.10, and the significance leve
Nina [5.8K]

Answer:

z=\frac{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .  

Step-by-step explanation:

1) Data given and notation

n=298 represent the random sample taken

X=29 represent the events claimed

\hat p=\frac{29}{298}=0.0973 estimated proportion

p_o=0.1 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 0.1 or no.:  

Null hypothesis:p=0.1  

Alternative hypothesis:p \neq 0.1  

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{0.0973 -0.1}{\sqrt{\frac{0.1(1-0.1)}{298}}}=-0.155  

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 next step would be calculate the p value for this test.  

Since is a bilateral test the p value would be:  

p_v =2*P(Z  

And we can use excel to find the p value like this: "=2*NORM.DIST(-0.155;0;1;TRUE)"

So the p value obtained was a very high value and using the significance level given \alpha=0.05 we have p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can said that at 5% of significance the proportion of interest is not significantly different from 0.1 .  

We can do the test also in R with the following code:

> prop.test(29,298,p=0.1,alternative = c("two.sided"),conf.level = 1-0.05,correct = FALSE)

7 0
2 years ago
The chess club members bought 6 tickets to a tournament for $15. How much would they have paid if all 9 members wanted to go?
olga nikolaevna [1]

Answer:$22.50


Step-by-step explanation:You need to divide the cost by th numbers of objects to get the answer.15 divided by 6 equals $2.50. Since each ticket costs $2.50,you multiply 2.50 times 9 which gets you $22.50.


8 0
3 years ago
Complete the proof<br> Prove: UVY = UZW<br> A) AAS<br> B) ASA<br> C) SAS<br> D) SSS
puteri [66]

Answer:

B) ASA

Step-by-step explanation:

The ASA (Angle-Side-Angle) postulate states that if two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the triangles are congruent. (The included side is the side between the vertices of the two angles)

In this case, angle U, side UY and angle Y are congruent to angle U, side UW and angle W

7 0
3 years ago
5. Does the frequency distribution given appear to be normal?
loris [4]
The second yes is the answer
8 0
3 years ago
Find the surface area of the cylinder. Use 3.14 for pi. Do not round the answer.
MrRissso [65]

Answer:

188.4 ft

Step-by-step explanation:

3.14x5^2x2=157 ft

3.14x10=31.4

31.4+157=188.4 ft

3 0
2 years ago
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