Mathematics, 27.06.2020 23:01 mari048

A sample of 100 people is classified by gender (male/female) and by whether they are registered voters. The sample consists of 80 females and 20 males, and has a total of 60 registered voters. If these data are used for a chi-square test for independence, what is the total number of females for the expected frequencies

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Answer from: nave1008

Chi - square test is a test of whether two variables are independent or not,

In 80 females, there are 48 females are registered voter and 32 female are non registered voters.

Since, The sample consists of 80 females and 20 males, and has a total of 60 registered voters.

Number of female that are rs registered voters,

$=\frac{80}{100}*60=48$

Non-register female voters, 80-48=32

Therefore, In 80 females, there are 48 females are registered voter and 32 female are non registered voters.

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Answer from: decoreyjpaipxv

Step-by-step explanation:

Using this as a guide,

Number of Registered voters = 60

Number of non registered voters = 40

Total number of women in sample is 80

Total number of men in sample is 20

Thus, the expected frequencies for female registered voters

= (80/100)*60

= 48

Expected frequency for female non registered voters is

= (80/100)*40

= 32

Therefore, the total number of females for the expected frequencies is

48+32 = 80

Answer from: Quest

$a_1 = 1$ , and

$a_{n+1} = a_n + (n + 1)$ for $n \ge 1$

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote $a_1 = 1$ , $a_2 = 3$ , $a_3 = 6$ , so that we can call

1 the 1st term, 3 the 2nd term, 6 the 3rd term,etc.

note the following:

from the 1st term (1) to the 2nd term (3), we go up by 2,from the 2nd term (3) to the 3rd term (6), we go up by 3from the 3rd term (6) to the 4th term (10), we go up by 4, andfrom the 4th term (10) to the 5th term (15), we go up by 5.

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from $a_1 = 1$ , to get to $a_2 = 3$ , we add $2(=1+1)$

from $a_2 = 3$ , to get to $a_3 = 6$ , we add $3 (=2+1)$

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

$a_1 = 1$ , and $a_{n+1} = a_n +(n + 1)$ for $n \ge 1$

Answer from: Quest

there is nothing below so i cannot

step-by-step explanation:

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A sample of 100 people is classified by gender (male/female) and by whether they are registered vote...