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Delicious77 [7]
2 years ago
12

Recall that a conflict of interest scenario was presented to a sample of 200 marketing researchers and that 109 of these researc

hers disapproved of the actions taken. (a) Let p be the proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario. Set up the null and alternative hypotheses needed to attempt to provide evidence supporting the claim that a majority (more than 50 percent) of all marketing researchers disapprove of the actions taken.
Mathematics
1 answer:
Tju [1.3M]2 years ago
4 0

Answer: Null hypothesis: p\leq0.50

Alternative hypothesis: p>0.50

Step-by-step explanation:

  • A null hypothesis is a type of hypothesis that states that there is no difference between a particular parameter of a population whereas an alternative hypothesis states that there is a difference.

Given: p = Proportion of all marketing researchers who disapprove of the actions taken in the conflict of interest scenario.

n= 200

Sample proportion = \hat{p}=\dfrac{109}{200}=0.545

Claim : p>0.50

Null hypothesis: p\leq0.50

Alternative hypothesis: p>0.50

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Answer:

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Step-by-step explanation:

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By comparing this equation with the standard equation of the circle,

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Therefore, center of the circle is (2, 0) and radius = 5 units

Second equation is a linear equation → y = 3x + 3 -------(2)

x-intercept of the equation → x = -1

y-intercept of the equation → y = 3

By graphing these equations we can get the point of intersections.

Solving these equations algebraically,

Substitute the value of y from equation (2) in the equation (1),

(x - 2)² + (3x + 3)² = 25

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10x² + 14x - 12 = 0

5x² + 7x - 6 = 0

x = \frac{-7\pm \sqrt{7^2-4(5)(-6)}}{2(5)}

x = \frac{-7\pm \sqrt{169}}{10}

x = \frac{-7\pm13}{10}

x = -2, 0.6

From equation (2),

y = -3, 4.8

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