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Brut [27]
3 years ago
15

2.) Which ordered pairs, in the form (x, y) are solutions to the equation? A. Both are solutions. B. The first is not a solution

, but the second is. C. Neither is a solution. D. The first is a solution, but the second is not
Mathematics
1 answer:
marissa [1.9K]3 years ago
5 0

A. Both are solutions. is the answer

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A random sample of 40 binomial trials resulted in 14 successes. test the claim that the population proportion of successes does
mylen [45]

Using the z-distribution, since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

<h3>What are the hypotheses tested?</h3>

At the null hypotheses, we test if the proportion of successes equals 0.5, hence:

H_0: p = 0.5

At the alternative hypotheses, we test if it does not equal, hence:

H_1: p \neq 0.5

<h3>What is the test statistic?</h3>

The test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

In which:

  • \overline{p} is the sample proportion.
  • p is the proportion tested at the null hypothesis.
  • n is the sample size.

For this problem, the parameters are given by:

n = 40, \overline{p} = \frac{14}{40} = 0.35, p = 0.5

Hence the test statistic is given by:

z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}

z = (0.35 - 0.5)/(0.5/sqrt(40))

z = -1.9.

<h3>What is the decision?</h3>

Using a z-distribution calculator, considering a two-tailed test, as we are testing if the proportion is different of a value, with z = -1.9, we get that the p-value of the test is of 0.057.

Since the p-value of the test is of 0.057 > 0.05, there is not enough evidence that the population proportion of successes does not equal 0.50.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ4

5 0
1 year ago
Which expressions would complete this equation so that it has infinitely many solutions? 8 + 2(8x – 6) = Choose exactly two answ
cupoosta [38]
<span> the answers are ...C. 16x – 4 and  D. 4(4x – 1) ...

Hope it helps !!!</span>
3 0
3 years ago
the cost of belonging to a gym can be modeled by by c(m)=50m+79.50 what is the meaning of the slope and y-intercept
Bess [88]
The slope is the relationship between the cost of the gym and how long you are there for.
the y-intercept is how much it costs to go to the gym for no hours ie the start-up cost.
5 0
3 years ago
If someone could help me on this, that would be great. Thanks.
Dovator [93]

Answer:

A. distributive property

8 0
3 years ago
Read 2 more answers
A 1992 poll conducted by the University of Montana classified respondents by gender and political party, as shown in the table b
MAVERICK [17]
The right answer for the question that is being asked and shown above is that: "B. X^2 = 5.85 p = 0.88." The answer that would be the appropriate type of test to investigate our hypothesis is that <span>"B. X^2 = 5.85 p = 0.88." This is the correct answer.</span>


7 0
3 years ago
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