Understanding Basic Statistics 6th Edition by Charles Henry Brase,Corrinne Pellillo Brase

Exercise 53

For all Hypothesis tests, please provide the following information:
(i) What is the level of significance State the null and alternate hypotheses.
(ii) Check Requirements What sampling distribution will you use What assumptions are you making What is the value of the sample test statistic
(iii) Find (or estimate) the P -value. Sketch the sampling distribution and show the area corresponding to the P -value.
(iv) Based on your answers in parts (i)-(iii), will you reject or fail to reject the null hypothesis Are the data statistically significant at level
(v) Interpret your conclusion in the context of the application.

Goodness of Fit A recent national study gave the following information about declared major of undergraduate college students: humanities, 15%; science, 23%; business, 29%; education, 11%; social science, 10%; all other fields, 12% (Reference: Statistical Abstract of the United States ). A random sample of 215 college students in Colorado gave the following counts regarding college major: humanities, 24; science, 54; business, 70; education, 16; social science, 30; all other fields, 21. Does this information indicate that the distribution of college majors for Colorado students is different from the national distribution