# Testing of Hypothesis and Degrees of Freedom

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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

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##### 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.

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