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1 year ago

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Mark and Bonnie both make $11 per hour working for their parents. If they combine their efforts and work for the same amount of

hours, which expression would NOT show their total combined earning

1 answer:

Mademuasel [1]1 year ago

5 0

To answer this we would need the expressions given.

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Mia has a spool of ribbon that is 30.5 yards long. She will cut the ribbon into 5 equal pieces to make bows. What is the length

GenaCL600 [577]

Each piece of ribbon will be 6.1 yards long hope this helped ;D

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1 year ago

In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil H. Firtle discuss a research proposa

MakcuM [25]

Answer:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

$z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500$

$p_v =2*P(Z>0.500)=0.617$

So the p value is a very low value and using any significance level for example $\alpha=0.05, 0,1,0.15$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.

Step-by-step explanation:

Data given and notation

$X_{1}=25$ represent the number of homeowners who would buy the security system

$X_{2}=9$ represent the number of renters who would buy the security system

$n_{1}=140$ sample 1

$n_{2}=60$ sample 2

$p_{1}=\frac{25}{140}=0.179$ represent the proportion of homeowners who would buy the security system

$p_{2}=\frac{9}{60}= 0.15$ represent the proportion of renters who would buy the security system

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 two proportions differs , the system of hypothesis would be:

Null hypothesis: $p_{1} = p_{2}$

Alternative hypothesis: $p_{1} \neq p_{2}$

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

$z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}$ (1)

Where $\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{25+9}{140+60}=0.17$

Calculate the statistic

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

$z=\frac{0.179-0.15}{\sqrt{0.17(1-0.17)(\frac{1}{140}+\frac{1}{60})}}=0.500$

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 sided test the p value would be:

$p_v =2*P(Z>0.500)=0.617$

So the p value is a very low value and using any significance level for example $\alpha=0.05, 0,1,0.15$ always $p_v>\alpha$ so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the two proportions NOT differs significantly.

6 0

2 years ago

Gigi earned $65 for 5 hours of gardening. She earned $90 for 9 hours of office work. Which statement correctly compares Gigi’s e

hjlf

She earned $3 more per hour for gardening than for office work.

8 0

2 years ago

Read 2 more answers

According to a 2015 Census Bureau survey, 75,511 of the 822,959 residents of Baltimore County, Maryland, were enrolled in colleg

quester [9]

Answer:

73.4

Step-by-step explanation:

-Given that 75,511 out of 822,959 residents enrolled in the college, the probability of success is calculated as:

$P_{enrollment}=\frac{Enrollment}{Total \ Residents}\\\\=\frac{75511}{822959}\\\\=0.09176\\\\p=0.09176$

#We know that this is a binomial distribution with p=0.09176 and n=800, Expected value is calculated as:

$E(X)=np, n=800, p=0.09176\\\\=0.09176\times 800\\\\=73.4$

Hence the expected value E(X)=73.4

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2 years ago

A rectangular national sight-seeing park with length of 2 miles and width of 3 miles allows a maximum capacity 250 people. Find

Leya [2.2K]

Answer:

41.67

Step-by-step explanation:

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2 years ago