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MatroZZZ [7]
3 years ago
13

Reduce to simplest formnegative 7/8 minus (negative 5/6)

Mathematics
1 answer:
Verdich [7]3 years ago
3 0

Answer:

(-21/24) - (-20/24) = -1/24

<em>Simplest Form of the Equation</em>

(-7/8) - (-5/6) = 0.04166666666

8x6= 48,

-7x6=-42

6x8= 48,

-5x8=40

(-42/48) - (-40/48)

Divide both sides by 2

(-21/24) - (-20/24) = -1/24

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National data indicates that​ 35% of households own a desktop computer. In a random sample of 570​ households, 40% owned a deskt
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Answer:

Yes, this provide enough evidence to show a difference in the proportion of households that own a​ desktop.

Step-by-step explanation:

We are given that National data indicates that​ 35% of households own a desktop computer.

In a random sample of 570​ households, 40% owned a desktop computer.

<em><u>Let p = population proportion of households who own a desktop computer</u></em>

SO, Null Hypothesis, H_0 : p = 25%   {means that 35% of households own a desktop computer}

Alternate Hypothesis, H_A : p \neq 25%   {means that % of households who own a desktop computer is different from 35%}

The test statistics that will be used here is <u>One-sample z proportion</u> <u>statistics</u>;

                                  T.S.  = \frac{\hat p-p}{{\sqrt{\frac{\hat p(1-\hat p)}{n} } } } }  ~ N(0,1)

where, \hat p = sample proportion of 570​ households who owned a desktop computer = 40%

            n = sample of households = 570

So, <u><em>test statistics</em></u>  =  \frac{0.40-0.35}{{\sqrt{\frac{0.40(1-0.40)}{570} } } } }

                               =  2.437

<em>Since, in the question we are not given with the level of significance at which to test out hypothesis so we assume it to be 5%. Now at 5% significance level, the z table gives critical values of -1.96 and 1.96 for two-tailed test. Since our test statistics doesn't lies within the range of critical values of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region due to which we reject our null hypothesis.</em>

Therefore, we conclude that % of households who own a desktop computer is different from 35%.

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The ratio between words and minutes is a constant, so the relationship is proportional.

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