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kicyunya [14]
3 years ago
8

A publisher reports that 26% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is

actually different from the reported percentage. A random sample of 100 found that 17% of the readers owned a laptop. Is there sufficient evidence at the 0.01 level to support the executive's claim?
Mathematics
1 answer:
Lyrx [107]3 years ago
8 0

Answer:

There is not enough evidence to support the executive's claim that the percentage is actually different from the reported percentage of 26%.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 100

p = 26% = 0.26

Alpha, α = 0.01

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.26\\H_A: p \neq 0.26

This is a two-tailed test.  

Formula:

\hat{p} = 0.17

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.17-0.26}{\sqrt{\frac{0.26(1-0.26)}{100}}} = -2.051

Now, we calculate the p-value from the table.

P-value = 0.040267

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to support the executive's claim that the percentage is actually different from the reported percentage of 26%.

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Step-by-step explanation:

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interchanging the role of x&y

x=8(5y-2)

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3 years ago
Suppose for some value of x the solution to the equation 2.5(y−x)=0 is y = 6. What must be true about x?
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Step-by-step explanation:

In this case, you input the value of y (y = 6) into the equation ( 2.5(y-x)= 0)

2.5(6-x) = 0

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Divide both sides by the coefficient of x (2.5)

x = 6

So,

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Substituting 6 for x in the equation,

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2 years ago
At the souvenir shop. Theo buys k key chains and p photo frames
stealth61 [152]

Answer:

Total cost of Theo's purchases in terms of k and p=2.49(k + p) + 5.99

Step-by-step explanation:

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Cost of a T-shirt=$5.99

Total cost of all items=cost of k key chain + cost of p photo frame + cost of The shirt

=2.49k + 2.49p + 5.99

Factorise

2.49 is common to both k and p

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y-4=-8x

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The score on a trivia game is obtained by subtracting the number of incorrect answers from twice the number of correct answers.
guajiro [1.7K]

Answer: the player answered 30 questions correctly.

Step-by-step explanation:

Let x represent the number of questions that the player answered correctly.

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x = 90/3

x = 30

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