Hi I would like to check the answers and formulas for the following.

11.You decide to further your research project by hypothesizing that thetrue proportion of core body temperature increasesamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isless thanthose who do use electric fans, setting thelevel of significance at 5%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 24 and 41 participants

Table 1. No Fans

Subject Core Body

Temperature

Increased?

1 1

2 0

3 0

4 0

5 0

6 0

7 1

8 1

9 0

10 0

11 1

12 0

13 0

14 1

15 0

16 0

17 1

18 0

19 0

20 0

21 1

22 0

23 0

24 0

Table 2. Fans

Subject Core Body

Temperature

Increased?

1 0

2 1

3 0

4 1

5 0

6 1

7 0

8 0

9 0

10 0

11 0

12 0

13 0

14 0

15 1

16 0

17 0

18 0

19 0

20 0

21 1

22 0

23 0

24 1

25 0

26 0

27 0

28 0

29 0

30 0

31 0

32 0

33 0

34 1

35 0

36 0

37 0

38 0

39 0

40 0

41 0

Per Step 1 of the 5-Steps to Hypothesis Testing, choose the appropriate null and alternative hypotheses, i.e. H0 and H1, respectively, as well as the significance level, , pronounced as "alpha".

Please note that 0 and 1 are defined as no and yes, respectively, which is a typical coding scheme in Public Health.

Select one:

a. = 2.5%, H0: p1 > p2, H1: p1 = p2

b. H1: p1 > p2, = 1%, H1: p1 = p2

c. = 5%, H1: p1 < p2, H0: p1 = p2

d. H0: p1 = p2, = 10%, H1: p1 > p2

12.You decide to further your research project by hypothesizing that thetrue proportion of core body temperature increasesamidst higher ambient temperature and humidity levels for thepopulation who do not use electric fans isless thanthose who do use electric fans, setting thelevel of significance at 5%for the formal hypothesis test. In other words, you extend your sampling to two samples instead of just one. You randomly sample 31 and 31 participants

Table 1. No Fans

Subject Core Body

Temperature

Increased?

1 0

2 1

3 1

4 1

5 0

6 0

7 1

8 0

9 0

10 1

11 0

12 0

13 0

14 0

15 1

16 0

17 0

18 0

19 0

20 1

21 1

22 0

23 0

24 0

25 0

26 1

27 1

28 0

29 1

30 1

31 1

Table 2. Fans

Subject Core Body

Temperature

Increased?

1 0

2 1

3 0

4 0

5 1

6 1

7 0

8 0

9 0

10 0

11 0

12 0

13 1

14 0

15 1

16 1

17 0

18 0

19 0

20 0

21 0

22 0

23 1

24 0

25 0

26 0

27 0

28 0

29 0

30 0

31 0

Per Step 2 of the 5-Steps to Hypothesis Testing, choose the appropriate test statistic.

Please note that 0 and 1 are defined as no and yes, respectively, which is a typical coding scheme in Public Health.

Select one:

a. z = (X - 0) / (s / n)

b. Sp = ( [(n1 - 1) * s12 + (n2 - 1) * s22] / [n1 + n2 - 2] )

c. z = (p1 - p2) / [ p * (1 - p) * (1 / n1 + 1 / n2) ], where p1 = x1 / n1, p2 = x2 / n2, p = (x1 + x2) / (n1 + n2)

d. z = (p - p0) / (p0 * (1 - p0) / n), where p = x / n