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Lerok [7]
3 years ago
8

A publisher reports that 76v% of their readers own a personal computer. A marketing executive wants to test the claim that the p

ercentage is actually different from the reported percentage. A random sample of 200200 found that 70p% of the readers owned a personal computer. State the null and alternative hypotheses.
Mathematics
1 answer:
lawyer [7]3 years ago
7 0

Answer:

Null Hypothesis: 'The proportion of readers who own a personal computer is not 76%'

Alternative hypothesis: 'The proportion of readers who own a personal computer is not 76%', or it could also be stated as 'The proportion of readers who own a personal computer is less than 76%'

Step-by-step explanation:

A null hypothesis is an experimental statement that negates the existence of a relationship between two phenomena that are measured, or it is a statement that tells of no association between two experimental groups. The experimenter sets out to test the null hypothesis with a bid to disprove or accept the null hypothesis after subjecting experimental results through various confidence tests.

The null hypothesis is generally accepted to be true, unless it is proven otherwise, and it always comes from the point of negation between the associated phenomena. It is denoted commonly by the symbol 'H₀'.

The null hypothesis is analogous to the statement that ' a person is assumed to be innocent,  (null hypothesis is assumed to be true) unless proven guilty beyond all reasonable doubt ' (and it is rejected only if the results show a statistically significant difference between what is measured and what is stated in the null hypothesis).

When the null hypothesis is rejected, it is replaced by the alternative hypothesis, a statement that holds true to the observed result and rejects the null hypothesis.

In this example, the proposition on ground was that 76% of readers of a publication, has a personal computer, the null hypothesis comes to negate this association/claim, that it is not a 76% proportion, but it could be more or less than 76%, hence the statement 'The proportion of readers who own a personal computer is not 76%'. Upon carrying out the research, it was found that the actual value was 70%, hence the null hypothesis is not rejected, and the null hypothesis is still the alternative hypothesis which can also be stated as 'The proportion of readers who own a personal computer is less than 76%', or in the exact words of the null hypothesis.

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kicyunya [14]

Answer:

The possible rational roots are: +1, -1 ,+3, -3, +9, -9

Step-by-step explanation:

The Rational Root Theorem tells us that the possible rational roots of the polynomial are given by all possible quotients formed by factors of the constant term of the polynomial (usually listed as last when written in standard form), divided by possible factors of the polynomial's leading coefficient. And also that we need to consider both the positive and negative forms of such quotients.

So we start noticing that since the leading term of this polynomial is x^3, the leading coefficient is "1", and therefore the list of factors for this is: +1, -1

On the other hand, the constant term of the polynomial is "9", and therefore its factors to consider are: +1, -1 ,+3, -3, +9, -9

Then the quotient of possible factors of the constant term, divided by possible factor of the leading coefficient gives us:

+1, -1 ,+3, -3, +9, -9

And therefore, this is the list of possible roots of the polynomial.

6 0
3 years ago
Simplify the following 4√28÷3√7​
finlep [7]

Answer:

8/3 ( Fraction Form), 2.6 ( Decimal Form),  2 2/3 ( Mixed Number Form)

Step-by-step explanation:

Simplify the radical by breaking  the radicand up into  a product of known factors, assuming positive real numbers.

6 0
3 years ago
Read 2 more answers
Factor by Grouping.<br><br> I’m confused can someone help me answer the question? ASAP please.
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Answer:

D

Step-by-step explanation:

observe, grouping by gcd not 1

28r² + 35ry – 4xr – 5xy

= 28r² – 4xr + 35ry – 5xy

= 4r(7r – x) + 5y(7r –x)

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3 years ago
What is the value of the 5 in the number 14.5?
WINSTONCH [101]
The alue of 5 is the tenths place.
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3 years ago
A square with side x is changing with time where x(t)=3t+1. What is rate of change of the area of the square when t=2 seconds.
GuDViN [60]

Answer:

Rate of change of the area of the square is 42 units at t = 2.

Step-by-step explanation:

We note that the area of the square is given by: A(x) = x^2 but we aim to find \frac{dA}{dt}. But we can use the chain rule to pull out that dA/dt. Doing so gives us:

\frac{dA}{dt} = \frac{dA}{dx} \times \frac{dx}{dt}.

Now, \frac{dA}{dx} = 2x (by the power rule and \frac{dx}{dt} = 3.

But since we have "x" and not "t", we want to find what x is when t = 2. Substituting t = 2 gives us x(2) = 3(2) + 1 = 7.

So, finally, we see that:

\frac{dA}{dt} = 2(7) \times 3 = 14 \times 3 = 42.

7 0
3 years ago
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