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 during 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)
Answers
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.
Related Questions
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What percentage of 400=104 pls help me
Answers
Answer:
26%
Step-by-step explanation:
To find the percentage of a number, I find it's often helpful to first write it as a fraction: [tex]\frac{104}{400}[/tex] .
Percentages can be represented as a fraction by putting them over 100, eg. 25% is [tex]\frac{25}{100}[/tex]
.
Therefore, to get [tex]\frac{104}{400}[/tex] into a percentage, we need to change that 400 on the bottom to 100. How do we do that? Divide by four. However, anything we do to the bottom of a fraction, we must do to the top, so we divide both by four:
[tex]\frac{\frac{104}{4} }{\frac{400}{4} }[/tex] = [tex]\frac{26}{100}[/tex]
As we saw earlier, if a fraction has 100 at the bottom, then the top of the fraction is the percentage. So 104 is 26% of 400.
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Answer:
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Answer:
The answer is C aka 3(5)^6
Step-by-step explanation:
There are 135 students going on a field trip. Each school bus holds 40 students. How many buses are needed?
Answers
Answer
4
Step-by-step explanation:
135/40=3.37 so 4 buses are needed
Answer:
4 busses are needed. Well 135 students going on a field trip and each bus holds 40 students. There can’t be “half” a bus but instead you can have a bus thats not all the way filled. Plus youc an’t duplicate or divide the a light of children so 4 busses.
Step-by-step explanation:
40x ≥ 135
Solve that and the answer has to be a whole number greater then the proposed decimal.
135/40= 3.375
3.375 and it can’t be rounded down and only up to the nearest whole digit so round it to 4.
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Answers
Answer:
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Step-by-step explanation:
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A 3, 6, 9, 18, ...
B 3, 6, 12, 18, ..
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Answer:
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Step-by-step explanation:
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9 A right rectangular prism
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Answers
Answer:
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Step-by-step explanation:
volume= width X height X length
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volume= 203
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Answers
1. 4.5 cm
2. 25.13 inches
3. 78.54 cm
4. 13 cm. 6.5 +6.5
Radius is half the diameter
Step-by-step explanation:
1) Radius = Half of Diameter
[tex]r = \frac{1}{2} d \\ r = \frac{1}{2} \times 9 \\ = 4.5cm[/tex]
2) Given r = 4 in.
Circumference of Circle =
[tex]2\pi \: r \\ = 2\pi(4) \\ = 8\pi \: cm[/tex]
3) Given r = 5 in.
Area of Circle =
[tex]\pi {r}^{2} \\ = \pi {5}^{2} \\ = 25\pi {cm}^{2} [/tex]
4)Diameter = 2x Radius
[tex]d = 2r \\ = 2 \times 6.5 \\ = 13cm[/tex]
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Answer:
9
Step-by-step explanation:
Solve the equation
Area =1/2(heightxbase)
27=1/2(Xx6)
54=6x
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Answer:
1) congruent
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Step-by-step explanation:
1) congruent becuase supplementary means that these 2 angles add up to make 180 degrees.
2) the file below
3) we know they are equal because the congruent correspoding angles.
4) 3x+21 = 6x-60
=> 21 = 9x-60
=> 81 = 9x
=> 9 = x
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Simplify the following expression.
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Step-by-step explanation:
A negative number divided by a positive number is always going to be negative
Answer:
-10
Step-by-step explanation:
Because a negative number divided by a positive number is a negative number.
A bag contains 7 blue, 4 yellow, and 9 purple marbles.
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Answers
Answer:
13/20
Step-by-step explanation:
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Answers
Answer: 4x^2
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Answers
Presumably, x is standing in for the question mark.
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Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
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Step-by-step
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Answer:
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Step-by-step explanation:
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Answers
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Step-by-step explanation:
Answer:
1
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Step-by-step explanation:
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Step-by-step explanation:
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Addition Sign RulesHere it is important to remember the rules for the addition of integers numbers:
+ + Add Final result (+)
- - Add Final result (-)
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- + Subtract Final result (the sign of the integer having a greater value )
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+ - or - +The result presents a negative sign (-) because the signs are different.
First, you should apply the distributive property and the multiplication sign rules.
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Step-by-step explanation:
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Answers
Answer:
C- The size of the initial water sample, in gallons.
Step-by-step explanation:
You start driving north for 8 miles, turn right, and drive east for another 6 miles. At the end of driving, what is your straight line distance from your starting point?
Answers
Answer:
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Step-by-step explanation:
please if I'm wrong or my answer doesn't match the with the answer's book tell me right away I try another method.
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Answers
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Step-by-step explanation:
1. Rewrite the equation:
-2x^3 - 3x^2 + 4 x = -2
2. Plug in the value of x, -2
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Sid has £5 to buy apples and bananas.
He uses his money like this:
He buys 18 apples.
Then he buys as many bananas as possible.
With his change, he buys more apples.
How many apples and bananas does he buy?
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Answers
He can buy 9 bananas
Answer:
Apples: 23 , bananas = 9
Step-by-step explanation:
Apples = 18 x 6 = 108p = 1,08£
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Answers
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Answers
Answer:
The answer is 132 feet
Step-by-step explanation:
That's the diameter.
C = pi * d
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C = 131.88
Thar rounds to 132 feet.