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Ivahew [28]
3 years ago
11

In 2011, a U.S. Census report determined that 71% of college students work. A researcher thinks this percentage has changed sinc

e then. A survey of 110 college students reported that 91 of them work. Is there evidence to support the reasearcher's claim at the 1% significance level? A normal probability plot indicates that the population is normally distributed.
Mathematics
1 answer:
coldgirl [10]3 years ago
6 0

Answer:

Note: The full question is attached as picture below

a) Hо : p = 0.71

Ha : p ≠ 0.71

<em>p </em>= x / n

<em>p </em>= 91/110

<em>p </em>= 0.83.

1 - Pо = 1 - 0.71 = 0.29.

b) Test statistic = z

= <em>p </em>- Pо / [√Pо * (1 - Pо ) / n]

= 0.83 - 0.71 / [√(0.71 * 0.29) / 110]

= 0.12 / 0.043265

= 2.77360453

Test statistic = 2.77

c) P-value

P(z > 2.77) = 2 * [1 - P(z < 2.77)] = 2 * 0.0028

P-value = 0.0056

∝ = 0.01

P-value < ∝

Reject the null hypothesis.  There is sufficient evidence to support the researchers claim at the 1% significance level.

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How much does a customer save for buying a sound system marked $1,200 at a discount of 15%​
kramer

Answer:

Step-by-step explanation:

Mp=$1200

Let sp be x

SP=MP-discount% of MP

x=1200-15/100 * 1200

x=120000-18000/100

x=102000/100

x=1020

the amount of money person saves=MP-SP

=$1200-$1020

=$180

therefore he saves $180

7 0
2 years ago
Plz I need help with geometry homework FIND THE ANGLES
Talja [164]

Answer:

  1. a = 36°
  2. b = 36°
  3. c = 72°
  4. d = 72°
  5. e = 108°
  6. f = 16°
  7. g = 74°
  8. h = 70°

Step-by-step explanation:

You are expected to know and make use of the following relations:

  • vertical angles are congruent
  • angles of a linear pair are supplementary
  • angles of a triangle sum to 180°
  • alternate interior angles are congruent (at parallel lines)
  • corresponding angles are congruent (at parallel lines)
  • acute angles of a right triangle are complementary
  • base angles of an isosceles triangle are congruent

__

For this problem, it isn't always easiest to work the questions in order. It is best to start with the angles easiest to find from those given.

  b and 144° are a linear pair, so b = 180° -144° = 36°

  a and b are alternate interior angles, so a = b = 36°

  2d and 144° are corresponding angles, so d = 144°/2 = 72°

  e is the apex angle of an isosceles triangle with base angles 36°, so is 180° -2(36°) = 108° = e

  f and 164° are a linear pair, so f = 180° -164° = 16°

  g and f are complementary, so g = 90° -16° = 74°

  g+h is a vertical angle with 144°, so is congruent to that. h = 144° -74° = 70°

  c is the base angle of an isosceles triangle with b as the vertex angle. That means c = (180° -36°)/2 = 72°

3 0
3 years ago
Winnie has 1/2 cup of flour in a mixing bowl.she adds more flour. winnie claims that she now has 3/7 cup of flour in the mixing
malfutka [58]

First, let's make 1/2 and 3/7 have the same denominator to make it easier to see. We know that there Least Common Multiple (LCM) is 14.

1/2=7/14

3/7=6/14

Wait a second... 3/7 is less than 1/2. This means that Winnie's statement is false because it is impossible that after adding more flour, she actually has less flour than what she started with.

Hope this helps! :)

7 0
3 years ago
Per day you have to drink 2250 ml. Your bottle of water is 550 ml. How much more water you need to put to you bottle of water to
Harrizon [31]

Answer:

If your bottle already has 550 ml in it you need to add 1,700 ml for a total of 2250 ml. If your bottle can only hold 550 ml you will need to drink about 4 bottles in order to drink 2250 ml of water.

Step-by-step explanation:

2250/550=4.09

3 0
3 years ago
The net below is used to form a rectangular prism. Using the net, determine the surface area of the figure.
padilas [110]

Step-by-step explanation:

54 because you add 7+7+7+7+26=54

4 0
2 years ago
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