Question

TOICUraw-AIll Edučation Campus Hosted by ALEKS Corp Chapter 8 Previous 21 22 23 24 25 26 27 28 Next Question 26 of 28 (4 points) View problem in a pop-up 8.4 Section Exercise 14 The Energy Information Administration reported that 51.7% of homes in the United States were heated by natural gas. A random sample of 212 homes found that 130 were heated by natural gas. Does the evidence support the claim, or has the percentage changed? Usea 0.10 and the P value method. Part 1 out of 6 State the hypotheses and identify the claim with the correct hypothesis. Ho:P (select) (select) H1:P (select) (select) This hypothesis test is a (select) test. NEXT CHECK

Answer 1

Solution :- Given That :- X= 130 n = p= 0.517 q= Since - p = 1-9 212 0.483 0.1 90% a = J = P = 0.61 Hypothesis : Test Statistic :- Ho: P = 0.517 Ha: P+0.517 z = pq This is a Two tailed Test vn Z= 0.096208 0.03432 Z stat = 2.80 Z Critical Value:- By using Z value table at a = Z Critical Value = 0.1 1.64 P - Value:- By using P value table at Z = P Value = 2.80 0.0051 P-Value = 0.0051 < Significance Level = 0.1 Conclusion :- It is concluded that Null Hypothesis is rejected.