Calculating the relative frequencies from the data given in the table. Choose all that correctly describe an association between
favorite subject and grade.
A higher percentage of 8th graders than 7th graders prefer History.
A higher percentage of 7th graders than 8th graders prefer English.
A higher percentage of 8th graders than 7th graders prefer Math/Science.
A higher percentage of 8th graders than 7th graders prefer History.
A higher percentage of 7th graders than 8th graders prefer English.
A higher percentage of 8th graders than 7th graders prefer Math/Science.
1 answer:
The statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
<h3>What is a conditional relative frequency?</h3>It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.
We can find conditional relative frequency as:
For first cell:
= 38/116
= 0.327
= 32.75% (refer attached picture)
Similarly, we can find for other cells.
A higher percentage of 7th graders than 8th graders prefer English and History, while a higher percentage of 8th graders than 7th graders prefer Math/Science.
Thus, the statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.
Learn more about the conditional relative frequency here:
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Answer:
y = 6.5
Step-by-step explanation:
When triangles are similar, we can set up a proportion to compare the sides. I will have the "left" side on the bottom of the fractions, and the side I am solving for on the top.
[Cross multiply]
12y = 78
y = 6.5
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Answer:
The 95% confidence interval is
Step-by-step explanation:
From the question we are told that
The first sample size is
The first sample mean is
The first standard deviation is
The second sample size is
The second sample mean is
The second standard deviation is
Generally the degree of freedom is mathematically represented as
=>
=>
Generally the standard error is mathematically represented as
=>
=>
From the question we are told the confidence level is 95% , hence the level of significance is
=>
Generally from the t distribution table the critical value of at a degree of freedom of is
Generally the margin of error is mathematically represented as
=>
=>
Generally 95% confidence interval is mathematically represented as
=>
=>