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It seems C is the answer.
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Answer:
(a) The population parameter is students who ran the mile in less than 10 minutes.
(b) The hypothesis being tested is:
H0: p = 0.70
Ha: p < 0.70
(c) The significance level is 0.05.
(d) In order to conduct a one-sample proportion z-test, the following conditions should be met:
The data are a simple random sample from the population of interest.
The population is at least 10 times as large as the sample.
n⋅p ≥ 10 and n⋅(1−p) ≥ 10, where n is the sample size and p is the true population proportion.
n⋅p = 756 * 0.70 ≥ 10
n⋅(1−p) = 756 * (1 - 0.70) ≥ 10
All the conditions are met.
(e) p = 504/756 = 0.67
The test statistic, z = (p - p)/√p(1-p)/n = (0.67 - 0.70)/√0.70(1-0.70)/756 = -2.00
(f) The p-value is 0.0228.
(g) Since the p-value (0.0228) is less than the significance level (0.05), we can reject the null hypothesis.
(h) Therefore, we can conclude that less than 70% of students run one mile in less than 10 minutes.
Step-by-step explanation:
The correct answer to this question would be answer choice B.
To convert the decimal 0.56 to a fraction, first set it to a fraction over 100 which would be 56/100.
Then, because the question asks for the fraction to be in simplest form, look for the greatest common factor of the numerator and denominator or 56 and 100.
To find it, list out all of their factors:
56: 1, 2, 4, 7, 8 , 14, 28, 56
100: 1, 2, 4, 5, 10,20,25,50,100
Notice that out of all the factors listed, the greatest common factor listed is 4. Because of this, divide both the numerator and denominator by 4 to simplify your fraction to your answer: 14/25
Answer:
2.5 or 5/2
Step-by-step explanation:
2x-3=2
2x=5 (both sides plus 3)
x=5/2 or 2.5(divid by 2 on both sides)
Answer:
c = 2
Step-by-step explanation:
Isolate the variable, c. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& roots)
Multiplications
Divisions
Additions
Subtractions
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First, subtract 6 from both sides of the equation:
9c + 6 (-6) = 24 (-6)
9c = 24 - 6
9c = 18
Next, divide 9 from both sides of the equation:
(9c)/9 = (18)/9
c = 18/9
c = 2
c = 2 is your answer.
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