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Inessa [10]
4 years ago
8

Eighteen subtracted from half a number is 38. Find the number.

Mathematics
1 answer:
Andrews [41]4 years ago
6 0

Answer:

x=112

Step-by-step explanation:

x/2-18=38

first add +18

x/2=56

now multiply by 2

x=112


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It has been found that 50.3% of U.S. households own stocks and mutual funds. A random sample of 300 heads of households indicate
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Finding the p-value of the test using the z-distribution, as we are working with a proportion, it is found that this was a significant difference for levels of significance of 0.02 and lower.

<h3>What are the hypothesis test?</h3>

At the null hypothesis, we test if the proportion is of 50.3%, hence:

H_0: p = 0.503

We have a two-tailed test, hence at the alternative hypothesis we test if the proportion is different, that is:

H_1: p \neq 0.503

<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.

In this problem, the parameters are:

n = 300, \overline{p} = \frac{171}{300} = 0.57, p = 0.503

Hence:

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

z = \frac{0.57 - 0.503}{\sqrt{\frac{0.503(0.497)}{300}}}

z = 2.32

<h3>What is the p-value?</h3>

Considering a two-tailed test, using a z-distribution calculator, the p-value is of 0.0203. Hence this was a significant difference for levels of significance of 0.02 and lower.

More can be learned about the z-distribution at brainly.com/question/26454209

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Someone please help me with this question
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Is there another part of this?
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