According to the Energy Information Administration, 53% of households nationwide used natural gas for heating in 1997. A recent survey of 3,600 randomly selected households showed that 54% used natural gas. Use a 0.05 significant level to test the claim that the national rate has changed. Complete parts (a) through (d). (a) Write the claim mathematically and identify Ho and Ha. Choose the correct answer below. O A. Ho: p=.53 (claim) O B. Ho: p2.53 (claim) O C. Ho: ps.53 (claim) Ha: p #.53 Ha: P<.53 ha: p>.53 O D. Ho: P=.53 O E. Ho: p<.53 of. ho: ps.53 ha: p> .53 (claim) (b) Find the standardized test statistic z. O A. 1.20 O B. -1.20 O C. 2.50 O D. 0.23 (c) Find the P-value. O A. .0500 O B. .1151 O C. .8849 O D. 2302 (d) Decide whether to reject or fail to reject the null hypothesis. O A. Reject Ho O B. Fail to Reject Ho