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Gnoma [55]
3 years ago
14

What is a factor of 21x² + 13x - 20

Mathematics
1 answer:
Tems11 [23]3 years ago
4 0

Answer:

(7x-5)(3x+4)

Step-by-step explanation:

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Step-by-step explanation:

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At a branch office of the company, 350 people are polled and 125 indicate they are in favor of using a corporate American Expres
AlladinOne [14]

Answer:

The P-value is Less than 0.0005%.

Step-by-step explanation:

We are given that at a branch office of the company, 350 people are polled and 125 indicate they are in favor of using a corporate American Express card.

A recent survey at the main corporate headquarters revealed that the 400 employees who responded to the survey indicated that 350 wanted to stay with the American Express Card.

Let p_1 = <em>proportion of employees at the headquarters who want the American Express Card.</em>

p_2 = <em>proportion of employees at the branch office who want the American Express Card.</em>

So, Null Hypothesis, H_0 : p_1\leq p_2      {means that the percentage of employees at the headquarters who want the American Express Card is smaller or equal to the percentage of employees at the branch office}

Alternate Hypothesis, H_A : p_1>p_2      {means that the percentage of employees at the headquarters who want the American Express Card is greater than the percentage of employees at the branch office}

The test statistics that would be used here <u>Two-sample z proportion</u> <u>statistics</u>;

                      T.S. =  \frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1}+\frac{\hat p_2(1-\hat p_2)}{n_2}  } }  ~ N(0,1)

where, \hat p_1 = sample proportion of employees at the headquarters wanted to use the American Express Card = \frac{350}{400} = 0.875

\hat p_2 = sample proportion of employees at the branch office wanted to use the American Express Card = \frac{125}{350} = 0.357

n_1 = sample of people at the main corporate headquarters = 400

n_2 = sample of people at a branch office = 350

So, <u><em>the test statistics</em></u>  =  \frac{(0.875-0.357)-(0)}{\sqrt{\frac{0.875(1-0.875)}{400}+\frac{0.357(1-0.357)}{350}  } }

                                     =  16.99

The value of z test statistics is 16.99.

<u></u>

<u>Now, P-value of the test statistics is given by;</u>

            P(Z > 16.99) = Less than 0.0005%

6 0
3 years ago
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