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dalvyx [7]
3 years ago
9

Each of the statements contains a blunder. In each case, choose the statement that correctly explains the blunder. (a) "There is

a high correlation between the sex of American workers and their income." Choose the statement that correctly explains the blunders.
The correlation must give the units of the income.
Correlation requires both variables to be qualitative.
The statement must include how they categorized different level of income.
Correlation requires both variables to be quantitative.
Mathematics
1 answer:
Vikki [24]3 years ago
4 0

Answer:

Correlation requires both variables to be quantitative.

Step-by-step explanation:

The correlation coefficient measures the strength of relationship between two quantitative variables. In the given scenario correlation between sex of American workers and their income is computed and indicated that there is a high correlation between them. The sex of American worker is a categorical variable or a qualitative variable while income of American worker is a quantitative variable. The correlation between a quantitative variable and a qualitative variable can't be computed. So, the statement explains the blunder in the given scenario is "Correlation requires both variables to be quantitative".

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Step-by-step explanation:

The total number of ways to form the two teams is the combination of choosing 10 people out of 35 (₃₅C₁₀). The number of possibilities that A and B are both on the 10-people team is given by the combination of choosing 8 people (since two are fixed) out of 33 (₃₃C₈).The number of possibilities that A and B are both on the 25-people team is given by the combination of choosing 10 people out of 33 (₃₃C₈).

Therefore, the probability that two particular people A and B will be on the same team is:

P = \frac{_{33}C_8+_{33}C_{10}}{_{35}C_{10}} \\\\P=\frac{\frac{33!}{(33-8)!8!}+\frac{33!}{(33-10)!10!} }{\frac{35!}{(35-10)!10!}} \\\\P=\frac{69}{119} = 0.5798

The probability is 0.5798 or 57.98%.

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