60% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 141 of the 224 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion The null and alternative hypotheses would be: Ho: ? μ p Select an answer > ≠ = < (please enter a decimal) H1: ? p μ Select an answer = < ≠ > (Please enter a decimal) The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is ? ≤ > αα Based on this, we should Select an answer accept fail to reject reject the null hypothesis. Thus, the final conclusion is that ... The data suggest the population proportion is not significantly different from 60% at αα= 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 60%. The data suggest the populaton proportion is significantly different from 60% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 60% The data suggest the population proportion is not significantly different from 60% at αα= 0.05, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 60%. Interpret the p-value in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 224 students who played intramural sports are surveyed then there would be a 36.8% chance that either more than 63% of the 224 studetns surveyed received a degree within six years or fewer than 57% of the 224 students surveyed received a degree within six years. If the sample proportion of students who played intramural sports who received a degree within six years is 63% and if another 224 voters are surveyed then there would be a 36.8% chance that we would conclude either fewer than 60% of all students who played intramural sports received a degree within six years or more than 60% of all students who played intramural sports received a degree within six years. There is a 36.8% chance of a Type I error. There is a 36.8% chance that the percent of all students who played intramural sports who received a degree within six years differs from 60%. Interpret the level of significance in the context of the study. If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 224 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is different from 60% There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 60%. If the population proportion of students who played intramural sports who received a degree within six years is different from 60% and if another 224 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 60%. There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth.
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
60% of students entering four-year colleges receive a degree within six years. Is this percent different from for students who play intramural sports? 141 of the 224 students who played intramural sports received a degree within six years. What can be concluded at the level of significance of αα = 0.05?
- For this study, we should use Select an answer t-test for a population mean z-test for a population proportion
- The null and alternative hypotheses would be:
Ho: ? μ p Select an answer > ≠ = < (please enter a decimal)
H1: ? p μ Select an answer = < ≠ > (Please enter a decimal)
- The test statistic ? t z = (please show your answer to 3 decimal places.)
- The p-value = (Please show your answer to 4 decimal places.)
- The p-value is ? ≤ > αα
- Based on this, we should Select an answer accept fail to reject reject the null hypothesis.
- Thus, the final conclusion is that ...
- The data suggest the population proportion is not significantly different from 60% at αα= 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is equal to 60%.
- The data suggest the populaton proportion is significantly different from 60% at αα = 0.05, so there is sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 60%
- The data suggest the population proportion is not significantly different from 60% at αα= 0.05, so there is not sufficient evidence to conclude that the population proportion of students who played intramural sports who received a degree within six years is different from 60%.
- Interpret the p-value in the context of the study.
- If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 224 students who played intramural sports are surveyed then there would be a 36.8% chance that either more than 63% of the 224 studetns surveyed received a degree within six years or fewer than 57% of the 224 students surveyed received a degree within six years.
- If the sample proportion of students who played intramural sports who received a degree within six years is 63% and if another 224 voters are surveyed then there would be a 36.8% chance that we would conclude either fewer than 60% of all students who played intramural sports received a degree within six years or more than 60% of all students who played intramural sports received a degree within six years.
- There is a 36.8% chance of a Type I error.
- There is a 36.8% chance that the percent of all students who played intramural sports who received a degree within six years differs from 60%.
- Interpret the level of significance in the context of the study.
- If the population proportion of students who played intramural sports who received a degree within six years is 60% and if another 224 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is different from 60%
- There is a 5% chance that the proportion of all students who played intramural sports who received a degree within six years is different from 60%.
- If the population proportion of students who played intramural sports who received a degree within six years is different from 60% and if another 224 students who played intramural sports are surveyed then there would be a 5% chance that we would end up falsely concluding that the proportion of all students who played intramural sports who received a degree within six years is equal to 60%.
- There is a 5% chance that aliens have secretly taken over the earth and have cleverly disguised themselves as the presidents of each of the countries on earth.
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