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Testing of Hypothesis and Degrees of Freedom

1. How many different ways is it possible to get seven heads in a sample of twenty coin flips?

2.What is the probability of getting seven heads in a sample of twenty coin flips? Is this significantly different from the population in which P = 0.50 if the alpha is 0.05?

3. In which case would it be easier to reject the null hypothesis: a two-tailed test with an alpha of 0.10 or a one-tailed test with an alpha of 0.05?

4. What is the Chi-square value for an alpha of 0.01 with 10 degrees of freedom? If an obtained Chi-square value for 10 degrees of freedom at an alpha of 0.05 is 19.7, what is the researcher's decision in the hypothesis test?

5. The frequency distribution given below provides the distribution of mother's education from a sample taken from the National Youth Survey. Calculate the univariate Chi-square statistic, and determine if the sample is statistically different from a population in which the frequencies are hypothesized to be equal for all cells. State the null and alternate hypotheses, find the Chi-square critical value (for alpha of 0.01), and present the statistical decision.

Educational Level Frequency

Post grad degree 35
Completed college 120
Some college 336
High school/GED 506
Some high school 340
Grade school 78
Some grade school 59
Total 1474

Solution Summary

The solution gives the details of chi-square test, null hypothesis, alternative hypothesis, critical value and P value are given. Some basic probability calculation are also given.