.A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for eight randomly selected subjects are given in the accompanying table. The values are pain measurements for each subject, before and after hypnosis; the sensory measurements are from a medical pain scale. Before Hypnotism (sample set 1): 7.5 6.8 6.6 7.5 10.6 7.1 7.8 9.8 After Hypnotism (sample set 2): 4.4 2.7 2.5 3.1 7 7.9 2.5 7.9 a) Use a 0.05 significance level to test a claim that the sensory measurements are lower after hypnotism. Claim: d ---Select--- > = ≤ ≥ < ≠ 0 Ho: d ---Select--- > = ≤ ≥ < ≠ 0 H1: d ---Select--- < > = ≤ ≥ ≠ 0 b) What is the rejection result? Reject the alternative hypothesis. Do not reject the null hypothesis. Reject the null hypothesis. Not enough information. c) What is the statistical conclusion? The sample data provides evidence to support the claim. The sample data does not provide sufficient evidence to support the claim. The sample data provides sufficient evidence to warrant rejection of the claim. The sample data does not provide sufficient evidence to warrant rejection of the claim. d) Does hypnotism appear to be effective in reducing pain? There is not significant evidence that hypnotism is effective at reducing pain. There is significant evidence that hypnotism is not effective at reducing pain. There is not significant evidence that hypnotism is not effective at reducing pain. There is significant evidence that hypnotism is effective at reducing pain.
Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
1.A study was conducted to investigate the effectiveness of hypnotism in reducing pain. Results for eight randomly selected subjects are given in the accompanying table. The values are pain measurements for each subject, before and after hypnosis; the sensory measurements are from a medical pain scale.
| Before Hypnotism (sample set 1): | 7.5 | 6.8 | 6.6 | 7.5 | 10.6 | 7.1 | 7.8 | 9.8 |
| After Hypnotism (sample set 2): | 4.4 | 2.7 | 2.5 | 3.1 | 7 | 7.9 | 2.5 | 7.9 |
a) Use a 0.05 significance level to test a claim that the sensory measurements are lower after hypnotism.
| Claim: d ---Select--- > = ≤ ≥ < ≠ 0 |
| Ho: d ---Select--- > = ≤ ≥ < ≠ 0 |
| H1: d ---Select--- < > = ≤ ≥ ≠ 0 |
b) What is the rejection result?
Reject the alternative hypothesis. Do not reject the null hypothesis. Reject the null hypothesis. Not enough information.
c) What is the statistical conclusion?
The sample data provides evidence to support the claim.
The sample data does not provide sufficient evidence to support the claim.
The sample data provides sufficient evidence to warrant rejection of the claim.
The sample data does not provide sufficient evidence to warrant rejection of the claim.
d) Does hypnotism appear to be effective in reducing pain?
There is not significant evidence that hypnotism is effective at reducing pain.
There is significant evidence that hypnotism is not effective at reducing pain.
There is not significant evidence that hypnotism is not effective at reducing pain.
There is significant evidence that hypnotism is effective at reducing pain.
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