The null hypothesis is rejected because the probability is 0.52.
<h3>What are null hypotheses and alternative hypotheses?</h3>
In null hypotheses, there is no relationship between the two phenomena under the assumption that it is not associated with the group. And in alternative hypotheses, there is a relationship between the two chosen unknowns.
A political pollster claims that 55% of voters prefer candidate A.
To investigate this claim, a random sample of 75 voters is polled.
The pollster finds that 39 of those polled prefer candidate A.
He would like to know if the data provide convincing evidence that the true proportion of all voters who prefer candidate A is less than 55%.
This is left tailed test
H₀: p = 0.55
Hₐ: p < 0.55
Then the probability will be
p = 39 / 75
p = 0.52
P-value = 0.3015
Interpretation of P-value:- In a random sample of 75 voters, the chance of getting a sample statistic of 0.52 or below is 0.3015, assuming that the real population proportion of the voter base who chooses candidate A is 0.55.
More about the null hypotheses and alternative hypotheses link is given below.
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The approximate length of rail that needs to be replaced is 7.1 ft
<h3>Length of arc</h3>
Since the pool is circular, the approximate length that needs to be replaced is an arc of length, L = Ф/360° × πD where
- Ф = central angle of rail section = 27° and
- D = diameter of circular pool = 30 ft
<h3>Approximate length of rail</h3>
So, substituting the values of the variables into the equation, we have
L = Ф/360° × πD
L = 27°/360° × π × 30 ft
L = 3/40 × π × 30 ft
L = 3/4 × π × 3 ft
L = 9/4 × π ft
L = 2.25 × π ft
L = 7.07 ft
L ≅ 7.1 ft
So, the approximate length of rail that needs to be replaced is 7.1 ft
Learn more about length of an arc here:
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Answer:
Look at explanation
Step-by-step explanation:
Ok,
I got...
radius of convergence = 1
interval of convergence = 3 ≤ x ≤ 5
Answer:
Independent
Step-by-step explanation:
Dependent Sampling:
Dependent sampling is one in which the individuals in one sample are used to determine the individuals in the other sample.
But the third dash graders are divided into two groups independent of each other.
So the sampling is independent.
It is qualitative because it is showing quality irrespective of the number of students .
Quantitative Sampling is one in which the results change with the number of the individuals / tests etc. But in this experiment the number of the students is fixed so it is showing quality rather than quantity.
