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alekssr [168]
3 years ago
7

Professor Jennings claims that only 35% of the students at Flora College work while attending school. Dean Renata thinks that th

e professor has underestimated the number of students with part-time or full-time jobs. A random sample of 77 students shows that 37 have jobs. Do the data indicate that more than 35% of the students have jobs? Use a 5% level of significance. What are we testing in this problem?
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0

Answer:

Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs, is statistically evident.

Step-by-step explanation:

Here we are testing whether proportion of the students at Flora College who work while attending school is 35% or more than 35%

H_0: p = 0.35\\H_a: p >0.35

(Right tailed test at 5% level of significance)

Sample proportion p = \frac{37}{77} \\=0.4805

Assuming H0 to be true, std error of proportion = \sqrt{0.35*0.65/77} \\=0.0544

p difference = 0.1305

Z = test statistic = 2.40

p value for one tailed = 0.0082

Since p < 0.05 we reject H0

Dean Renata thinks that the professor has underestimated the number of students with part-time or full-time jobs, is statistically evident.

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Solve the equation below for c.
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Answer  c = (a-b)/d

Step-by-step explanation:

subtract b and divide by d

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3 years ago
Explain how to find the inequality that represents the graph.
Aloiza [94]

The inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

<h3>Graph of Inequality</h3>

From the question, we are to determine the inequality that represents the graph

First, we will assume the inequality is a straight line and we will determine the equation of the line

From the graph, we have two points on the line

(0, -2) and (5, -1)

Using the formula for the equation of a line with two given point

(y - y₁)/(x -x₁) = (y₂ - y₁)/ (x₂ - x₁)

x₁ = 0

y₁ = -2

x₂ = 5

y₂ = -1

Thus,

(y - -2)/(x - 0) = (-1 - -2)/ (5 - 0)

(y +2)/(x - 0) = (-1 + 2)/ (5 - 0)

(y +2)/(x ) = 1/ 5

5(y + 2) =1(x)

5y + 10 = x

5y = x - 10

y = 1/5(x) - 2

y = x/5 - 2

Now,

Since the solution is below the line and the line is dotted

The inequality becomes

y < x/5 -2

OR

5y < x - 10

Hence, the inequality that represents the given graph is y < x/5 -2 OR 5y < x - 10

Learn more on Graph of Inequality here: brainly.com/question/17106134

#SPJ1

5 0
2 years ago
Sooooo bored ask me anything even if it´s not on the list
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Answer:

What oets do you like? whats your height u noob

Step-by-step explanation:

6 0
3 years ago
h = 3a + 28.6: A pediatrician uses this formula to estimate the height h of a boy, in inches, in terms of the boy’s age a, in ye
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Based on the model, 28.6 is the estimated increase, in inches, of a boy’s height each year.
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3 years ago
I NEED HELP WITH THIS PLEASE HELP ME
vekshin1

Answer:

156 minutes

Step-by-step explanation:

So we need to create an equation to represent how Frank's phone company bills him

  • I will denote "y" as the total for his bill
  • I will denote "x" as the number of minutes Frank uses

So the phone company charges an $8 monthly fee, so this value remains constant and will be our "y-intercept"

They then charge $0.06 for every minute he talks, this will be our "slope"

Combining everything into an equation, we have: y = 0.06x + 8

Now since we were given Franks phone bill total and want to figure out how many minutes he used, we just need to solve the equation for x and plug in our known y value

  • y = 0.06x + 8 → y - 8 = 0.06x → x=\frac{y-8}{0.06}
  • Then plugging in our y value we get x=\frac{17.36-8}{0.06}=\frac{9.36}{0.06}= 156

Frank used up a total of 156 minutes

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3 years ago
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