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maksim
2 months ago
12

Two hundred randomly selected people were asked to state their primary source for news about current events: (1) Television, (2)

Radio, (3) Internet, or (4) Other. We wish to determine whether the percent distribution of responses is 10%, 30%, 50% and 10% for news sources 1 through 4 respectively. What is the null hypothesis?
Mathematics
1 answer:
lawyer [12.5K]2 months ago
7 0

Answer:

Explanation:

Hello!

You possess a sample involving 200 participants, who were surveyed regarding their main source of news, categorized into (1) Television, (2) Radio, (3) Internet, and (4) Other.

Your goal is to evaluate whether the proportions in this sample align with the established frequencies of 10%, 30%, 50%, and 10% respectively.

The suitable statistical method to assess if the sample matches the known or historical distribution is the Chi-Square goodness of fit test. In this test, the null hypothesis represents the model or distribution under examination. In this scenario, you need to articulate the proportions for each category:

H₀: P(1)= 0.10; P(2)= 0.30; P(3)= 0.50; P(4)= 0.10

Wishing you a SUPER day!

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2 months ago
There is an integer n such that 2n2 − 5n + 2 is prime. To prove the statement it suffices to find a value of n such that (n, 2n2
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Response:

n = 0 or 3

Detailed explanation:

2n² - 5n + 2

2n² - 4n - n + 2

2n(n - 2) -1(n - 2)

(n - 2)(2n - 1)

A prime number is defined as one that can only be divided by itself and 1

Setting n-2 = 1 gives n = 3

Setting 2n-1 = 1 gives n = 0

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3 months ago
John runs 500 feet in 1 minute. Identify the correct conversion factor setup required to compute John's speed in inches per seco
PIT_PIT [12445]

Answer:

refer to the method

Step-by-step explanation:

Keep in mind that

1\ ft=12\ in

To change feet to inches, multiply by 12

1\ min=60\ sec

To convert minutes into seconds, multiply by 60

we have

500\frac{ft}{min}=500(\frac{12}{60})=500(\frac{1}{5})=100\frac{in}{sec}

7 0
2 months ago
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Which expression is equivalent to (StartFraction 4 m n Over m Superscript negative 2 Baseline n Superscript 6 Baseline EndFracti
PIT_PIT [12445]

Question

Which expression is equivalent to \frac{4mn}{m^{-2}n^6}. Assuming m \neq 0; n\neq 0

Answer:

\frac{4m^3}{n^5}

Step-by-step explanation:

Given

\frac{4mn}{m^{-2}n^6}

Required:

Simplify

To achieve simplification, we begin by dividing each function individually

\frac{4mn}{m^{-2}n^6} = \frac{4m}{m^{-2}} * \frac{n}{n^6}

According to the properties of indices

\frac{a^x}{a^y} = a^{x-y}

Thus, the aforementioned expression can be restated similarly

\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1-(-2)} * n^{1-6}

\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{1+2)} * n^{1-6}

\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * n^{-5}

From the indices laws

a^{-x} = \frac{1}{a^x}

So,

\frac{4m}{m^{-2}} * \frac{n}{n^6} = 4m^{3} * \frac{1}{n^5}

\frac{4m}{m^{-2}} * \frac{n}{n^6} = \frac{4m^3}{n^5}

Therefore, \frac{4mn}{m^{-2}n^6} can be regarded as \frac{4m^3}{n^5}

5 0
2 months ago
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