You decide to research further this seemingly contradictory guidance, hypothesizing that the true population average core body temperature amidst higher ambient temperature and humidity levels while using an electric fan is different than 108.9 degrees Fahrenheit (°F) and you set the level of significance at 5% for your formal hypothesis test. You randomly sample 45 participants
Subject Core Body
Temperature (°F)
1 102.8
2 102.6
3 102.0
4 102.7
5 102.8
6 102.3
7 102.2
8 101.6
9 102.2
10 102.8
11 102.1
12 101.0
13 101.8
14 100.9
15 103.3
16 102.2
17 101.8
18 101.7
19 102.2
20 103.2
21 102.5
22 102.3
23 101.9
24 102.3
25 102.8
26 102.8
27 103.3
28 101.9
29 102.9
30 101.5
31 103.2
32 102.7
33 101.3
34 101.2
35 103.8
36 102.4
37 101.9
38 101.5
39 101.8
40 102.4
41 102.0
42 101.5
43 102.0
44 101.9
45 102.2
Per Step 5 of the 5-Steps to Hypothesis Testing, choose the appropriate formal and informal conclusions.
Please note the following: 1) you may copy and paste the data into Excel to facilitate analysis; and 2) in the prior question you already calculated a test statistic but on a different dataset - calculate the test statistic again using the dataset directly above in selecting the corresponding formal and informal conclusions.
Select one:
a. We accept H1 because z > +2.326 and z ≥ -2.326, where z = -69.820. We have statistically significant evidence at α = 5% to show that the true population proportion of heart and core temperature increases amidst higher ambient temperature and humidity levels is different than 108.9°F.
b. We do not reject H0 because z > +1.282 or z ≤ +2.326, where z = -69.820. We do not have statistically significant evidence at α = 5% to show that the true population proportion of heart and core temperature increases amidst higher ambient temperature and humidity levels is different than 108.9°F.
c. We accept H0 because z = +1.282 and z < -1.960, where z = -69.820. We do not have statistically significant evidenceat α = 10% to show that the true population proportion of heart and core temperature increases amidst higher ambient temperature and humidity levels is different than 108.9°F.
d. We reject H0 because z ≤ -1.960 or z ≥ +1.960, where z = -69.820. We have statistically significant evidence at α = 5% to show that the true population average core body temperature amidst higher ambient temperature and humidity levels while using an electric fan is different than 108.9°F.