Add. Write your answers in simplest form. 10 1/6+12 1/10

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

3 years ago

sixteen students received awards for perfect scores on math or spelling quizzes last week. of these students, 11 received awards

Oxana [17]

Answer: 16 students receive passing grades out of those 16 , 11 Students receive perfect math & 8 perfect spelling

8 is you answer

Draw 16 circles that would rep the students

Count up to 11 with 1 mark in each bubble that would rep the perfect math

Then count 8 and put 1 Mark in the Bubble and you'll see that 8 Students Received 2 Awards

Step-by-step explanation:

8 0

3 years ago

Which of the following is equivalent to the equation -5(3x -8 )= -45 ?

Elan Coil [88]

Distributive property is
a(b+c)=ab+ac so
first, distribute
remember than (-) times (-)=(+)
-5(3x-8)=(-5)(3x)+(-5)(-8)=-15x+(+40)=-15x+40

so it is -15x+40=-45

the answe ris B

4 0

3 years ago

19. Suppose the diameter of a circle is 10 inches long and a chord is 6 inches long, Find the distance between the chord and the

mihalych1998 [28]

Answer:

10 m

Step-by-step explanation:

x2 + 242 = 262

x2 + 576 = 676

x2 = 100

x = 10

The chord is 10 m from the center of the circle.

3 0

3 years ago

You are going to roll two dice. Let the variable x = the sum of the numbers rolled. What is the probability that x = 9 ?

Vladimir79 [104]

The first cube can land in any one of 6 ways.
The second cube can land in any one of 6 ways.
Total number of ways that 2 dice can land = (6 x 6) = 36 ways.

For any of these ways, the sum of the numbers rolled is 9 :

3, 6
4, 5
5, 4
6, 3

There are 4 ways to roll a 9, out of a total of 36 ways that
the dice can land. So the probability of rolling a 9 is

4 / 36 = 1 / 9 = 11-1/9 percent

7 0

3 years ago

Add. Write your answers in simplest form.10 1/6+12 1/10