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scZoUnD [109]
3 years ago
7

A shoe store sends an email survey to all customers who pay with a debit card. The previous month, 34,000 people made debit card

purchases. Surveys were sent to 2,000 of these people, chosen at random, and 256 people responded to the survey. Identify the population and the sample. The population is 34,000. The sample is 2,000. The population is 2,000. The sample is 256. The population is 256. The sample is 34,000. The population is 2,000. The sample is 34,000. The population is 34,000. The sample is 256.
Mathematics
1 answer:
jasenka [17]3 years ago
3 0

Answer:

The population is 34,000. The sample is 2,000

Step-by-step explanation:

Population in statistics can be explained as the group or set of all elements which are of particular interest to a researcher or a study. In the scenario above, the research interest concerns customers who pay with a debit card, whose number amounts to 34,000, this value refers to the population. The sample is referred to as the subset of the population or larger sample, the sample from the study corresponds to number of debit card users who were selected at random to participate in the survey. This value is 2000.

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Given: AB || DE ,  BC is a transversal

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3 years ago
Use the given level of confidence and sample data to construct a confidence interval for the population proportion p.
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The 95% confidence interval for the population proportion is (0.778, 0.884).

Step-by-step explanation:

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.831.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.831*0.169}{195}}\\\\\\ \sigma_p=\sqrt{0.00072}=0.027

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.027=0.053

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sisgma_p = 0.831-0.053=0.778\\\\UL=p+z \cdot \sisgma_p = 0.831+0.053=0.884

The 95% confidence interval for the population proportion is (0.778, 0.884).

8 0
4 years ago
9 m<br> 3 m<br> 3 m<br> What is the area, in square meters, of the shaded region in the diagram?
NeTakaya

Answer:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

Step-by-step explanation:

Notice that the side length of the square is  38 m.

area of square  =  (side length)2  =  (38 m)2   =   1444 m2

Notice that the diameter of the circle is  38 m .

And its radius  =  diameter / 2   =   38m / 2   =   19 m

area of circle  =  pi * radius2  =  pi * (19m)2  =  pi * 361 m2   ≈   1133.54 m2

So......

area of shaded region  =  area of square - area of circle

area of shaded region  ≈       1444 m2     -  1133.54 m2

area of shaded region  ≈    310.46 m2

3 0
3 years ago
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