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Maslowich
3 years ago
14

A marketing manager for a cell phone company claims that the percentage of children aged - who have cell phones differs from . I

n a survey of children aged - by a national consumers group, of them had cell phones. Can you conclude that the manager's claim is true
Mathematics
1 answer:
k0ka [10]3 years ago
3 0

Answer:

Yes, the marketing manager's claim is true.

Step-by-step explanation:

p = 0.61

Phat = 545 /826 = 0.66

H0 : p = 0.61

H1 : p ≠ 0.61

The test statistic :

(Phat - p) / √pq/n

q = 1 -p = 1 - 0.61 = 0.39

(0.66 -0.61) / √(0.61*0.39)/826

0.05 / 0.0169709

Test statistic = 2.95

Using the p-value from Zscore calculator:

Pvalue at 2.95, two tailed ;

Pvalue = 0.0032

Reject H0; if Pvalue < α

Since, Pvalue < α ; Then, the marketing manager's claim is true

You might be interested in
How long does it take for an investment to quadruple in value if it is invested at 11% compounded
defon

Let's assume we have $100 and an interest rate of 7%. For the $100 to quadruple it means that the future value would be $400. Thus, because we are talking about compounding daily we will set us the equation as follows:

100 * (1+1.07)x = 400

Then we will take 400 and divide it by 100 getting:

1.07X = 4

Now we have encountered a problem where we do not know exponent, so we will use logarithm to calculate such and transform our equation to: Log1.07(4)=X

Using our calculator we will find that it takes about 20.4895 days to quadruple the money invested under 7% interest rate compounded daily.

2nd: Using the same $100 but with the rate of 5.5% compounded continuously we will be using A=PERT formula

where:

P (principal) is equal to hypothetical $100

E (e) is a mathematical constant, which is approximately 2.718

R (rate) is the interest rate, in our case it is 5.5%

T (time) is the time required for money to grow

A (amount) is the final amount desired, which is 4 times larger of $100, thus $400

We have the following:

400 = 100 * e0.055t

400/100 = e0.055t

4 = e0.055t

Then we will apply natural log to both sides of the equations and get the following:

ln(4) = ln(e0.055t)

Since e is the base of ln(x) the equation simplifies to:

ln(4) = 0.055t

Using the calculator to find ln(4) we are getting:

1.38629 = 0.055t

Lastly find t

t = 1.38629/0.055

t = 25.20535202

Plug the answers back to the original equation to verify the answers.

1st part of the question answer: t = 20.4895

2nd part of the question answer: t = 25.20535202

3 0
3 years ago
How can you find the whole when you know part and the percent.
Usimov [2.4K]

An example should make this clear.

If  $50  is 40%   what is the value of the whole amount?

Answer:-  Whole amount = 100^%

By proportion this =  (100/ 40) * 50

= 2.5 * 50

= $125    (answer)


4 0
3 years ago
0.03, 0.031, 0.1, 0.013 smallest to largest
vitfil [10]

Answer:

0.013

0.031

0.03

0.1

I hope my answer's correct.

3 0
3 years ago
Help me with these simple math problems ​
earnstyle [38]

Answer:

Please read the answer below.

Step-by-step explanation:

1. Australia:

75 * 1.87 =140 Australian dollars

2. Brazil:

75 * 2.32 = 174 Reals

3. Britain:

75 * 0.69 =  52 Pounds

4. Canada:

75 * 1.60 = 120 Canadian dollars

5. China:

75 * 8.28 = 621 Yuan

6. Denmark:

75 * 8.43 = 632 Kroner

7. Japan:

75 * 131.55 = 9,866 Yen

8. Mexico:

75 * 9.19 = 689 Mexican pesos

9. South Africa:

75 * 11.9 = 893 Rands

10. Sweden:

75 * 10.61 = 796 Kronor

11. Switzerland:

75 * 1.68 = 126 Francs

12. Thailand:

75 * 44.18 = 3,314 Baht

All currencies rounded to the next integer.

Note: Same answer to question 14454918, answered by me today.

8 0
3 years ago
Brainliest if you guess my age :)
LenaWriter [7]

Answer:

14

Step-by-step explanation:

or 16

5 0
3 years ago
Read 2 more answers
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