Question

The accompanying table lists the word counts measured from men and women in 56 couple relationships. Construct a scatterplot, find the value of the linear correlation coefficient r, and find the P-value of r. Determine whether there is sufficient evidence to support a claim of a linear correlation between the two variables. Use a significance level of

alphaαequals=0.010

The linear correlation coefficient r is ____

(Round to three decimal places as needed.)

Determine the null and alternative hypotheses.

(Type integers or decimals. Do not round.)

The test statistic is ____

(Round to two decimal places as needed.)

The P-value is ____

(Round to three decimal places as needed.)

Because the P-value of the linear correlation coefficient is ___ the significance level, there ____ sufficient evidence to support the claim that there is a linear correlation between words spoken by men and women in couples.

Men   Women
28,687   21,186
14,095   23,430
5,917   2,696
30,074   17,719
25,173   11,397
6,474   14,612
19,157   13,265
16,295   16,661
28,060   10,821
21,013   16,232
13,170   17,453
9,949   13,403
11,328   17,804
19,093   21,774
16,781   5,031
4,568   18,565
18,614   25,527
10,395   17,886
22,541   18,068
17,334   12,787
13,448   31,229
21,347   8,525
8,214   19,206
9,731   7,339
23,214   12,582
10,334   18,849
15,246   13,956
14,909   21,545
12,097   24,111
19,501   15,898
12,000   31,814
7,168   10,534
22,256   13,489
18,074   12,346
11,311   27,932
17,390   20,884
12,839   16,713
9,603   21,609
16,677   18,045
9,423   14,997
15,442   18,916
6,907   13,698
16,943   20,304
13,943   13,962
15,647   30,316
13,948   40,328
19,574   25,394
35,106   36,339
15,113   23,209
48,312   31,921
24,419   20,831
7,855   8,436
17,679   23,523
8,720   13,436
7,482   17,553
23,531   26,170

Answer 1

The above problem is solved using Minitab statistical software as well as Manually.

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You