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3 years ago

What is the approximate value for 683/22 A. 20 B. 21 C. 25 D. 31

Mathematics

2 answers:

Mariana [72]3 years ago

6 0

D. 31 ( roundest to the nearest whole number)

$\dashrightarrow \ \sf \dfrac{683}{22}$

$\dashrightarrow \ \sf 31\dfrac{1}{22}$

$\sf \dashrightarrow \ 31.04545$

whole number: 31

remainder: 1

divisor: 22

kumpel [21]3 years ago

3 0

The answer is D, or 31

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$z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}$ (1)

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Step-by-step explanation:

1) Data given and notation

$X_{M}=23$ represent the number of men that said they enjoyed the activity of Saturday afternoon shopping

$X_{W}=8$ represent the number of women that said they enjoyed the activity of Saturday afternoon shopping

$n_{M}=66$ sample of male selected

$n_{W}=23$ sample of demale selected

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$p_v$ represent the value for the test (variable of interest)

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We need to conduct a hypothesis in order to check if the percent of men who enjoy shopping for electronic equipment is higher than the percent of women who enjoy shopping for electronic equipment , the system of hypothesis would be:

Null hypothesis: $p_{M} \leq p_{W}$

Alternative hypothesis: $p_{M} > p_{W}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}$ (1)

Where $\hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{23+8}{66+23}=0.34831$

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Replacing in formula (1) the values obtained we got this:

$z=\frac{0.34848-0.34782}{\sqrt{0.34831(1-0.34831)(\frac{1}{66}+\frac{1}{23})}}=0.0057$

4) Statistical decision

Using the significance level provided $\alpha=0.05$ , the next step would be calculate the p value for this test.

Since is a one side right tail test the p value would be:

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vagabundo [1.1K]

Answer:

Step-by-step explanation:

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2 years ago

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FrozenT [24]

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hope this helps you