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2 years ago

4/6 x what equals 8/6

Mathematics

1 answer:

Sidana [21]2 years ago

5 0

Answer: 4/6

1. Subtract 8/6 by 4/6.

8/6 - 4/6 = 4/6

4/6 + 4/6 = 8 is the same as:

4 + 4 = 8

Notice: You don't change the denominator if your adding or subtracting.

That's why 4 + 4 = 8 is the same as 4/6 + 4/6.

<h2>Final answer: 4/6. </h2>

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Step-by-step explanation:

We are given that a consumer group suspects that the proportion of households that have three cell phones NOT known to be 30%.

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Let p = proportion of households that have three cell phones NOT known.

So, Null Hypothesis, $H_0$ : p = 30% {means that the actual percentage of households is equal to 30%}

Alternate Hypothesis, $H_A$ : p $\neq$ 30% {means that the actual percentage of households different from 30%}

The test statistics that would be used here One-sample z-test for proportions;

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

where, $\hat p$ = sample proportion of households having three cell phones = $\frac{43}{150}$ = 0.29

n = sample of households = 150

So, the test statistics = $\frac{0.29-0.30}{\sqrt{\frac{0.30(1-0.30)}{150} } }$

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The value of z test statistic is -0.27.

Also, P-value of the test statistics is given by;

P-value = P(Z < -0.27) = 1 - P(Z $\leq$ 0.27)

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Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.

Therefore, we conclude that the actual percentage of households is equal to 30%.

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2 years ago

4/6 x what equals 8/6​

4/6 x what equals 8/6