The value of the expression 23+32-3×4-52÷5+(7×4) is

Sammy's cell phone bill, which is $58, is deducted automatically from his bank account every month. Which expression shows the t

Vladimir79 [104]

<span>(−$58) ⋅ 12 ....you multiply it </span>

3 0

3 years ago

Read 2 more answers

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

lakkis [162]

Answer:

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

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

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.

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.

7 0

3 years ago

Please HELP!!!! Asappppp thank you!!!!

Yuliya22 [10]

Answer:

Step-by-step explanation:

The answer is C

3 0

2 years ago

A nut mixture of peanuts and pecans at a small fair is $1.00 per pound of peanuts and $2.85 per pound of pecans. Over the entire

Tresset [83]

The answer to the question

8 0

3 years ago

Find the slope of the line that passes through the pair of points. (5.3, –2.5), (7.3, –12.5)

astra-53 [7]

Answer:

-5

Step-by-step explanation:

The slope of the line is found by

m = (y2-y1)/(x2-x1)

= ( -12.5 - -2.5)/( 7.3 - 5.3)

= ( -12.5 +2.5)/( 7.3 - 5.3)

= -10 /2

= -5

5 0

3 years ago