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

Exercise 49

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.
Testing and Estimating a Difference of Proportions p 1 p 2 How often do you go out dancing This question was asked by a professional survey group on behalf of the National Arts Survey. A random sample of n 1 = 95 single men showed that r 1 = 23 went out dancing occasionally. Another random sample of n 2 = 92 single women showed that r 2 = 19 went out dancing occasionally.
(a) Do these data indicate that the proportion of single men who go out dancing occasionally is higher than the proportion of single women Use a 5% level of significance. List the assumptions you made in solving this problem. Do you think these assumptions are realistic
(b) Compare a 90% confidence interval for the population difference of proportions p 1 p 2 of single men and single women who occasionally go out dancing.