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2 years ago

Determine the first expressions to evaluate the problem.

Mathematics

1 answer:

Helga [31]2 years ago

8 0

Answer:

Step-by-step explanation:

5+9+15+2= 31

by order of pemdas

parentheses

exponents

multiply

divide

add

subtract

first is (4+9)

next is 3^2

third is 8/4

finally you add them all together

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Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year

fgiga [73]

Answer:

(a) Null Hypothesis, $H_0$ : $p_1-p_2$ $\leq$ 0 or $p_1$ $\leq$ $p_2$

Alternate Hypothesis, $H_a$ : $p_1-p_2$ > 0 or $p_1$ > $p_2$

(b) $\hat p_1$ = sample proportion of men = $\frac{104}{200}$ = 0.52

$\hat p_2$ = sample proportion of women = $\frac{74}{200}$ = 0.37

(c) P-value is 0.0011.

Step-by-step explanation:

We are given that Adecco Workplace Insights Survey sampled men and women workers and asked if they expected to get a raise or promotion this year (USA Today, February 16, 2012).

Suppose the survey sampled 200 men and 200 women. If 104 of the men replied yes and 74 of the women replied yes.

Let $p_1$ = population proportion of men who replied yes

$p_2$ = population proportion of women who replied yes

(a) Null Hypothesis, $H_0$ : $p_1-p_2$ $\leq$ 0 or $p_1$ $\leq$ $p_2$ {means that the population proportion of men is less than or equal to the population proportion of women}

Alternate Hypothesis, $H_a$ : $p_1-p_2$ > 0 or $p_1$ > $p_2$ {means that the population proportion of men is more than the population proportion of women}

(b) $\hat p_1$ = sample proportion of men = $\frac{104}{200}$ = 0.52

$\hat p_2$ = sample proportion of women = $\frac{74}{200}$ = 0.37

The test statistics that will be used here is Two-sample z proportion statistics;

T.S. = $\frac{(\hat p_1-\hat p_2)-(p_1-p_2)}{\sqrt{\frac{\hat p_1(1-\hat p_1)}{n_1} +\frac{\hat p_2(1-\hat p_2)}{n_2} } }$ ~ N(0,1)

where, $\hat p_1$ = sample proportion of men who replied yes = 0.52

$\hat p_2$ = sample proportion of women who replied yes = 0.37

$n_1$ = sample of men = 200

$n_2$ = sample of women = 200

So, test statistics = $\frac{(0.52-0.37)-(0)}{\sqrt{\frac{0.52(1-0.52)}{200} +\frac{0.37(1-0.37)}{200} } }$

= 3.05

Now at 0.01 significance level, the z table gives critical value of 2.3263 for right-tailed test. Since our test statistics is more than the critical value of z so we have sufficient evidence to reject our null hypothesis as it will fall in the rejection region.

Therefore, we conclude that the population proportion of men is greater than the population proportion of women.

P-value is given by the following formula;

P(Z > 3.05) = 1 - P(Z $\leq$ 3.05)

= 1 - 0.99886 = 0.0011

Hence, the p-value is 0.0011.

8 0

2 years ago

Point GG is located at (-4,2)(−4,2) on the coordinate plane. Point GG is reflected over the xx-axis to create point G'G ′ . What

Taya2010 [7]

Answer: (4,2)

Step-by-step explanation:

When a point is reflected over the x axis, only the x value changes to the opposite sign (positive or negative). The y value doesn’t change.

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2 years ago

What is 3/7 in simplest form

Yuki888 [10]

We cannot simplify it because the denominator does not have a common factor with the numarator.

6 0

2 years ago

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The superintendent of a school district wanted to predict the percentage of students passing a sixth-grade proficiency test. she

Orlov [11]

Answer:

B. H1= b1=0

Step-by-step explanation:

the alternative hypothesis is correct

7 0

2 years ago

mat deposited $2,000.00 in the bank. if the rate of simple interest was 10%, what was the amount of money mat had in the bank af

Mekhanik [1.2K]

Principal amount of money deposited by Mat in the bank = $2000
Rate of simple interest given by the bank = 10%
Number of years for which the money is kept in the bank = 5 years
As no money was withdrawn from the account, so
Amount after 5 years = Principal [1 + (Rate * Time)]
      = 2000 [ 1 + (10/100) * 5]
      = 2000 [ 1 + (1/2)]
   = 2000 * (3/2)
   = 1000 * 3
   = 3000 dollars
So the amount of money made by Mat after 5 years will be $3000.00

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2 years ago