# Question: For each of the following situations find the critical value

For each of the following situations, find the critical value for z or t.

a) H0: μ = 105 vs. HA: μ ≠ 105 at α = 0.05; n = 61.

b) H0: p = 0.05 vs. HA: p > 0.05 at α = 0.05.

c) H0: p = 0.6 vs. HA: p ≠ 0.6 at α = 0.01.

d) H0: p = 0.5 vs. HA: p < 0.5 at α = 0.01; n = 500.

e) H0: p = 0.2 vs. HA: p < 0.2 at α = 0.01.

a) H0: μ = 105 vs. HA: μ ≠ 105 at α = 0.05; n = 61.

b) H0: p = 0.05 vs. HA: p > 0.05 at α = 0.05.

c) H0: p = 0.6 vs. HA: p ≠ 0.6 at α = 0.01.

d) H0: p = 0.5 vs. HA: p < 0.5 at α = 0.01; n = 500.

e) H0: p = 0.2 vs. HA: p < 0.2 at α = 0.01.

**View Solution:**## Answer to relevant Questions

Suppose that you are testing the hypotheses H0: p = 0.20 vs. HA: p ≠ 0.20. A sample of size 250 results in a sample proportion of 0.25. a) Construct a 95% confidence interval for p. b) Based on the confidence interval, ...A company is considering marketing their classical music as “music to study by.” Is this a valid slogan? In a study conducted by some Statistics students, 62 people were randomly assigned to listen to rap music, music by ...Using the data in Exercise 3, test the hypothesis that the mean age of houses in the two neighborhoods is the same. You may assume that the ages of houses in each neighborhood follow a Normal distribution. a) Calculate the ...A small company, on hearing about the employee athlete program (Exercise 77) at the large company down the street, decides to try it as well. To measure the difference in productivity, they measure the average number of ...A developer wants to know if the houses in two different neighborhoods were built at roughly the same time. She takes a random sample of six houses from each neighborhood and finds their ages from local records. The table ...Post your question