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Alenkasestr [34]
2 years ago
6

ram can do a piece of work in 8 days. He work fir 6 days and left. If hari finish as the remaining work . how much work is done

by hari?​
Mathematics
1 answer:
worty [1.4K]2 years ago
5 0

Answer:

Hari finished the last two days of work that ram had left behind so that means that hari did 2 days of work.

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Suppose Connie owns a pet store in a large community that has over 50,000 pet owners. She believes that the proportion of men wh
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Answer:

\hat p=\frac{X_{m}+X_{w}}{n_{m}+n_{w}}=\frac{214+215}{510+420}=0.461

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Step-by-step explanation:

Data given and notation  

X_{m}=214 represent the number of men with cats

X_{w}=215 represent the number of women with cats

n_{m}=510 sample for men

n_{f}=420 sample for women

\hat p_{m}=\frac{214}{510}=0.420 represent the proportion of men with cats

\hat p_{f}=\frac{215}{420}=0.512 represent the proportion of women with cats

z would represent the statistic (variable of interest)  

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

Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the proportions are different, the system of hypothesis would be:  

Null hypothesis:p_{m} = p_{f}  

Alternative hypothesis:p_{m} \neq p_{f}  

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

z=\frac{p_{m}-p_{f}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{m}}+\frac{1}{n_{f}})}}   (1)

Where \hat p=\frac{X_{m}+X_{w}}{n_{m}+n_{w}}=\frac{214+215}{510+420}=0.461

Calculate the statistic

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

z=\frac{0.420-0.512}{\sqrt{0.461(1-0.461)(\frac{1}{510}+\frac{1}{420})}}=-2.80  

Statistical decision

For this case we don't have a significance level provided \alpha, but we can calculate the p value for this test.  

Since is a two tailed side test the p value would be:  

p_v =2*P(Z  

If we compare the p value and using any significance level for example \alpha=0.05 always p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can say the two proportions are significantly different.  

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