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# True or False Questions & Hypothesis Testing

1. True or false, and explain:

(a) The p-value of a test equals its observed significance level.

(b) The alternative hypothesis is another way of explaining the results; it says the difference is due to chance.

2. Five hundred draws are made at random with replacement from a box of numbered tickets; 276 are positive. Someone tells you that 50% of the tickets in the box show positive numbers. Do you believe it? Answer yes or no, and explain.

Excel (Hypothesis Testing 1)

A researcher assessed the role of routine walking in physical fitness. In this experiment n=60 pair of subjects were matched for age, gender and weight. However, one member of each pair typically walked to work, whereas the other typically drove. Subjects were given a physical fitness test. Their fitness scores are reported in the attached excel file. The higher the fitness score, the better.
The file contains two variables:
- Fitness score in group 1 (walkers)
- Fitness score in group 2 (drivers)
What should be the researcher conclusion? Write a brief report of paragraph commenting on the conclusion.

Data set

walkers drivers
8 9
17 14
18 10
10 11
15 13
13 9
16 10
15 8
13 7
11 10
12 15
16 10
12 9
8 9
17 14
17 10
13 11
15 10
17 9
14 12
12 8
10 11
15 10
12 16
9 10
16 5
8 11
19 14
17 14
12 11
15 14
16 9
14 7
17 8
10 8
15 10
12 13
17 10
12 14
11 9
17 13
18 10
10 10
16 12
13 11
14 10
13 8
10 5
11 10
13 14
17 9
12 10
8 9
16 14
17 11
10 10
15 12
13 15
14 10
12 9

#### Solution Summary

The solution provides step by step method for the calculation of testing of hypothesis. Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.

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