Simplify the expression 4 + 3(x + 2)

A market research team thinks that their new ad campaign is better than their old one. They used to be able to sell to 50% of th

andreev551 [17]

Answer:

a. The test statistic is 2 and we conclude that the new ad campaign is not signficantly better.

Step-by-step explanation:

They used to be able to sell to 50% of those who saw their ads. Test if the new campaign is better.

At the null hypothesis, we test is it is the same, that is, the proportion is the same.

$H_0: p = 0.5$

At the alternate hypothesis, we test if it is significantly better, that is, the proportion is above 50%.

$H_1: p > 0.5$

The test statistic is:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

In which X is the sample mean, $\mu$ is the value tested at the null hypothesis, $\sigma$ is the standard deviation and n is the size of the sample.

0.5 is tested at the null hypothesis:

This means that $\mu = 0.5, \sigma = \sqrt{0.5*0.5} = 0.5$

They take a random sample of 100 potential buyers and find that they convinced 60 of these people to buy their product.

This means that $n = 100, X = \frac{60}{100} = 0.6$

Test statistic:

$z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{0.6 - 0.5}{\frac{0.5}{\sqrt{100}}}$

$z = 2$

The test statistic is 2.

P-value of the test and decision:

The p-value of the test is the probability of finding a sample proportion above 0.6, which is 1 subtracted the by p-value of z = 2.

Looking at the z-table, z = 2 has a p-value of 0.9772.

1 - 0.9772 = 0.0228.

The p-value of the test is 0.0228 > 0.01, which means that we cannot conclude that the new ad campaign is signficantly better, so the correct answer is given by option A.

5 0

3 years ago

Kianna and three friends went out to dinner together. The total bill was $58.49. If they each agreed to pay an equal share of th

jonny [76]

Answer: $15.00 per person.
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Explanation:
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Given that there are "4 people" (that is, "Kianna and three friends");
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and a total of "$58.49" ; to be divided equally among 4 (four) people;
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we are asked to estimate the amount that EACH person will pay.
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For an ESTIMATE, $58.49 is ABOUT $60.00; or "60 dollars". ;

and (60 dollars) / 4 = 15 dollars {$15; or $15.00}.

60/4 = 15; or 60/4 = (60÷2)/(4÷2) = 30/2 = 15.
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3 0

2 years ago

What 2 numbers multiply to get -120 and add to get -14

mr Goodwill [35]

Answer:

-20 and 6

Step-by-step explanation:

-20 x 6 = -120

and if you add -20 and 6, you get -14.

5 0

2 years ago

Slove the equation 6x+4/5=8

Advocard [28]

6x+4/5=8 subtract 6x from both sides 4/5=8-6x multiply both sides by 5 to get rid of the fraction 4=40-30x divide both sides by 2 2=20-15x add 15x to both sides 15x+2=20 subtract 2 from both sides 15x=18 divide both sides by 15 x=1.2

3 0

3 years ago

Read 2 more answers

Which of the following statements is not true?

zmey [24]

All of the statements has the qualifier "can be".
This means that we need just one single in each example to make the statement true.

In an equilateral triangle, medians, angle bisectors, altitudes and perpendicular bisectors are all coincident, which makes the first three statements true. This in turn makes the fourth statement true.

So there are no false statements.

7 0

2 years ago