1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
exis [7]
3 years ago
7

A survey of 340 randomly chosen US adults found that 60% of the 150 men and 50% of the 190 women ran a five-kilometer race durin

g the past month. Do these data provide statistical evidence at the α = 0.05 level that women are less likely than men to run a five-kilometer race? Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (10 points)
Mathematics
1 answer:
Andrej [43]3 years ago
3 0

Answer:

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Step-by-step explanation:

We are given;

Number of males selected; n₁ = 150

Number of females selected; n₂ = 190

Proportion of the males; p₁ = 0.6

Proportion of females; p₂ = 0.5

Let's define the hypotheses;

Null hypothesis; H0: p₁ ≥ p₂

Alternative hypothesis; Ha: p₁ < p₂

Now, the z score formula for this is;

z = (p₁ - p₂)/√(p^(1 - p^))(1/n₁ + 1/n₂))

Where;

p^ = (p₁ + p₂)/2

p^ = (0.6 + 0.5)/2

p^ = 0.55

Thus;

z = (0.6 - 0.5)/√(0.55(1 - 0.55))((1/150) + (1/190))

z = 0.1/0.0543

z = 1.84

From online p-value from z-score calculator attached, using z = 1.84, significance level = 0.05, one tailed hypothesis, we have;

P-value = 0.033

The p-value is less than the significance level, so we will reject the null hypothesis, and conclude that at 5% significance level, the proportion for women that ran 5 km is more than the proportion of male that ran the 5 km. Thus, women are more likely to run the 5 km race.

Although if we check at 0.01 significance level, we will not have the same answer as the p-value will be greater.

You might be interested in
Pls. Help me solve with this math problem
Alchen [17]
I think this is the answer...

7 0
2 years ago
Read 2 more answers
123x78=<br> how much it equals too?
rjkz [21]

Answer:  9,594

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
What is the surface area of a cube with a side length of 5 yards?
Y_Kistochka [10]

Answer:

B 125. its basically 5 cubed

Step-by-step explanation:

5 times 5 times 5

8 0
2 years ago
Read 2 more answers
Witch of the following numbers is clostest to 6?
Reika [66]
3,2,1,6 are all factors of 6.
6 0
3 years ago
G) (-6t + 2z) - (7z - 7t)​
vodomira [7]

Answer:

-13t - 5z

Step-by-step explanation:

-6t + 2z - 7z - 7t

= -13t - 5z

3 0
2 years ago
Other questions:
  • Please help. I don't get this.
    10·1 answer
  • A regular polygon is drawn in a circle so that each vertex is on the circle and is connected to the center by a radius. Each of
    13·2 answers
  • A farmer has 4 horses, 3 pigs and 7 cows.Whatis the probability of randomly selection a pig?
    11·2 answers
  • When the denominator of \dfrac{2}{\sqrt{3}} 3 ​ 2 ​ start fraction, 2, divided by, square root of, 3, end square root, end fract
    10·1 answer
  • What ratio is not equivalent to 5:8
    8·1 answer
  • Find the measure of angle N.
    5·1 answer
  • Helppp plsssss..ssssss
    11·1 answer
  • Plz help I will give you BRAINLIESt 5stars
    10·1 answer
  • The perimeter of the garden is 84 feet. The length of one side of fencing is 8 yards. What is the area of the garden?
    12·2 answers
  • when a relation is drawn on an xy-plane what is another name for the set of all x values from its graph?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!