Miami University’s colors are white and red. There has been a recent movement on campus to change the university colors to cream and red. The movement has gained traction and Miami University has asked students, staff, faculty, and alumni to vote on their preferred school colors. In total, 892 people participated in this survey. The following data describe the number of people who voted to keep the colors white/red and the number of people who voted to change the colors to cream/red: Votes for White/Red Votes for Cream/Red 532 360 For this problem, complete the following steps: Identify the two hypotheses. Determine the critical region for your decision (use α = 0.01). Compute the test statistic. Use the test statistic to make a decision and interpret that decision.
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.
Miami University’s colors are white and red. There has been a recent movement on campus to change the university colors to cream and red. The movement has gained traction and Miami University has asked students, staff, faculty, and alumni to vote on their preferred school colors. In total, 892 people participated in this survey. The following data describe the number of people who voted to keep the colors white/red and the number of people who voted to change the colors to cream/red:
Votes for White/Red
Votes for Cream/Red
532
360
For this problem, complete the following steps:
Identify the two hypotheses.
Determine the critical region for your decision (use α = 0.01).
Compute the test statistic.
Use the test statistic to make a decision and interpret that decision.
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