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Fiesta28 [93]
2 years ago
5

Plz urgent inequalities ​

Mathematics
1 answer:
solmaris [256]2 years ago
3 0

Answer:

X>-4

Y>-18

X>-7

I hope this helps

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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
: Solve for the variable x3+7=20 s.
german

Answer:

x = (13) ^ 1/3

x is approximately 2.351334688

Step-by-step explanation:

x^3 + 7 = 20

Subtract 7 from each side

x^3 + 7-7 = 20-7

x^3 = 13

Take the cube root of each side

x^3 ^ 1/3  = (13) ^ 1/3

x = (13) ^ 1/3

x is approximately 2.351334688

4 0
3 years ago
Read 2 more answers
Which one is the biggest -6-16
harkovskaia [24]
-6 is the answer since it’s closer to zero
8 0
3 years ago
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Ipod: $89.00 Discount: 17% Tax: 5%
Degger [83]

Step-by-step explanation:

This sales tax table (also known as a sales tax chart or sales tax schedule) lists the amount of sales tax due on purchases between $0.00 and $59.70 for a 5% sales tax rate.

...

5% Sales Tax Chart ($0.00 - $59.70)

Price 20.10

Tax 1.01

Price 30.10

Tax 2.01

Tax 2.51

4 0
3 years ago
A light bulb in Keisha's house uses a total of 4.86 watts of electric power. If the light bulb uses 5.4 watts each minute it is
Hoochie [10]

Answer:

I think it is 0.9 minutes (I could be wrong though.)

Step-by-step explanation:

3 0
2 years ago
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