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Flura [38]
2 years ago
10

A study by Consumer Reports showed that 64% of supermarket shoppers believe supermarket brands to be as good as national name br

ands. To investigate whether this result applies to its own product, the manufacturer of a national name-brand ketchup asked a sample of shoppers whether they believed that supermarket ketchup was as good as the national brand ketchup. A random sample of 350 shoppers showed that 217 thought the supermarket brand was as good as the national brand. Should we conduct a one or two tail test in this situation?
Mathematics
1 answer:
nirvana33 [79]2 years ago
5 0

Answer:

z=\frac{0.62 -0.64}{\sqrt{\frac{0.64(1-0.64)}{350}}}=-0.780  

p_v =2*P(z  

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 reject the null hypothesis.

Step-by-step explanation:

She need to conduct a two tailed hypothesis test since she want to check if the standar dof 0.64 for the proportion is satisfied.

Data given and notation

n=350 represent the random sample taken

X=217 represent the shoppers who thought the supermarket brand was as good as the national brand

\hat p=\frac{217}{350}=0.62 estimated proportion of shoppers who thought the supermarket brand was as good as the national brand

p_o=0.64 is the value that we want to test

\alpha=0.05 represent the significance level

Confidence=95% or 0.95 (assumed)

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 true proportion of shoppers who thought the supermarket brand was as good as the national brand is 0.64.:  

Null hypothesis:p=0.64  

Alternative hypothesis:p \neq 0.64  

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{0.62 -0.64}{\sqrt{\frac{0.64(1-0.64)}{350}}}=-0.780  

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 bilateral test the p value would be:  

p_v =2*P(z  

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 reject the null hypothesis.

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Cylinders A and B are similar. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.
MrRa [10]

The question is incomplete. The complete question is :

Cylinders A and B are similar. The length of the cylinder A is 4 mm and the length of cylinder B is 6 mm. The volume of cylinder A is 20mm3. Calculate the volume of cylinder B.

Answer:

67.5 mm^3

Step-by-step explanation:

Given that :

Cylinder A and cylinder B are similar.

Let volume of cylinder A = 20 mm^3

We know the volume of a cylinder is given by V = $\pi r^2 h$

where, r is the radius of the cylinder

            h is the height of the cylinder

We have to find the scale factor.

The length scale factor is = $\frac{6}{4}$

                                          $=\frac{3}{2}$

Area scale factor $=\left(\frac{3}{2}\right)^2$

                           $=\frac{9}{4}$

∴ Volume scale factor $=\left(\frac{3}{2}\right)^3$

                                     $=\frac{27}{8}$

Therefore, the volume of cylinder B is $=20 \times \frac{27}{8}$

                                                               = 67.5 mm^3

5 0
3 years ago
A ratio is in its simplest form 7:9.<br>if its consequent is 117, find the antecedent​
a_sh-v [17]

Answer:

Let the income and saving rs7x and respectively 2x

then

2x=500

Step-by-step explanation:

3 0
2 years ago
Select the proper inverse operation to check the answer to 14 + 17 = 31. 
vivado [14]
The correct answer ids 100% answer choice D
4 0
3 years ago
A game of chance involves rolling a standard, six-sided die. The amount of money the player wins depends on the result of the di
Sloan [31]

Answer:

If you play this game once (and it costs you nothing to play), the expected amount of money you will win is:

$8.

Step-by-step explanation:

a) Data and Calculations:

The probability for the result to be 1 or 2 = 33.33% (100/6 * 2)

The probability for the result to be 3, 4, or 5 = 50% (100/6 * 3)

The probability for the result to be 6 = 16.67% (100/6 * 1)

Data Table:

Event                              Probability       Value Won

The result is 1 or 2           33.33%              $0

The result is 3, 4 or 5     50.00%              $4.00

The result is 6                 16.67%              $36.00

Expected Value:

Event                              Probability          Value              Expected Value

The result is 1 or 2           33.33%              $0                $0 ($0 * 33.33%)

The result is 3, 4 or 5     50.00%              $4.00           $2.00 ($4 * 50%)

The result is 6                 16.67%              $36.00          $6.00 ($36 * 16.67%)

Total expected amount of money  =                             $8.00

8 0
2 years ago
logan drov from new orland to nashvill to visit friends his speed limit is 60 miles per hour if logans driving for the trip was
Alina [70]

Answer:

540 miles

Step-by-step explanation:

60 times 9

4 0
3 years ago
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