A researcher is interested in determining if there is a relationship between handedness and penmanship. To study this question, the researcher submitted samples from 100 students to penmanship experts. The samples were rated to be of low, medium or high penmanship quality. The observed frequencies were totaled according to left verses right handedness. Penmanship Handedness low medium high Left 8 29 6 right 9 37 11 Which test is appropriate for this data? Why? Calculate row, column and table totals. State the null and alternative hypothesis.
Inverse Normal Distribution
The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.
Mean, Median, Mode
It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.
Z-Scores
A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.
A researcher is interested in determining if there is a relationship between handedness and penmanship. To study this question, the researcher submitted samples from 100 students to penmanship experts. The samples were rated to be of low, medium or high penmanship quality. The observed frequencies were totaled according to left verses right handedness.
|
|
Penmanship |
||
|
Handedness |
low |
medium |
high |
|
Left |
8 |
29 |
6 |
|
right |
9 |
37 |
11 |
- Which test is appropriate for this data? Why?
- Calculate row, column and table totals.
- State the null and alternative hypothesis.
- What is the degree of freedom?
- What is the value of the test statistic?
- What is the p-value?
- Are the data statistically significant at the 5% significance level?
- Do you recognize any flaws in this study
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