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In a study about magnetic pain therapy, two groups of adults were questioned about their pain levels. Use α = 0.01 to test the claim that magnetic therapy doesn’t help pain.
No magnets : n = 20, p=0.4
5 Magnets: n = 20, p=0.4
The hypothesis being tested is:
H0: p1 = p2
Ha: p1 ≠ p2
p1 | p2 | pc | |
0.4 | 0.4 | 0.4 | p (as decimal) |
8/20 | 8/20 | 16/40 | p (as fraction) |
8. | 8. | 16. | X |
20 | 20 | 40 | n |
0. | difference | ||
0. | hypothesized difference | ||
0.1549 | std. error | ||
0.00 | z | ||
1.0000 | p-value (two-tailed) |
The p-value is 1.000.
Since the p-value (1.000) is greater than the significance level (0.01), we fail to reject the null hypothesis.
Therefore, we can conclude that magnetic therapy doesn’t help the pain.
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