Based on data of people who dream in black and white or in color, people are divided into age groups. Among 306 people over the age of 55, 68 dream in black and white. Among 298 people under the age of 25, 13 dream in black and white. A 95% confidence interval is created to estimate the difference in proportion of people age over 55 that dream in black and white (group 1) and the proportion of those under 25 (group 2). The results are summarized below. Does the data suggest that the proportion of people over 55 who dream in black and white is equal to the proportion of those under 25? Why or why not? Difference Count1 Total1 Count2 Total2 Sample Diff. Std. Err. L. Limit U. Limit p1-p2 68 306 13 298 0.17859806 0.026548798 0.12656337 0.23063275
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.
Based on data of people who dream in black and white or in color, people are
divided into age groups. Among 306 people over the age of 55, 68 dream in black and white.
Among 298 people under the age of 25, 13 dream in black and white. A 95% confidence
interval is created to estimate the difference in proportion of people age over 55 that dream
in black and white (group 1) and the proportion of those under 25 (group 2). The results are
summarized below.
Does the data suggest that the proportion of people over 55 who dream in black and white is
equal to the proportion of those under 25? Why or why not?
| Difference | Count1 | Total1 | Count2 | Total2 | Sample Diff. | Std. Err. | L. Limit | U. Limit |
| p1-p2 | 68 | 306 | 13 | 298 | 0.17859806 | 0.026548798 | 0.12656337 | 0.23063275 |
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