Seventy suocesses were observed in a random sample of n = 120 observations from a binomial populalion. You wish to show d1at p e 0.5. State the null and alternative hypolhesis. l USE SALT 0 Ho: p s 0.5 versus Ha: p = 0.5 CI HO: p 0.5 O HO: p = 0.5 versus Ha: p <: ho: p="0.5" versus ha: e ci :> 0.5 Calculate the appropriate test statistic. (Round your answer to two decimal places.) 2 = :| Provide an a: = 0.05 rejection region. [Round 1,rour answers to two decimal places. If the test is one-tailed, enter NONE for the unused region.) 2...: 2.: State your conclusion. 0 Ho is rejected. There is insufcient evidenoe to indicate thatp is greater than 0.5. CI H0 is not rejected. There is insufcient evidence to indicate that p is greater than 0.5. O H0 is not rejected. There is sufficient evidence to indicate that p is greater than 0.5. 0 Ho is rejected. There is sufcient evidence to indicate that p is greater than 0.5. A random sample ofn = 1,000 observations from a binomial population contained 334 successes. You wish to show that p c: 0.35. n = 1,000 and x = 334. You wish to show that p c: 0.35. IQ USE SALT Calculate the appropriate test statistic. (Round your answer to two decimal places.) 2 = :I Calculate the p-value. (Round your answer to four decimal places.) Do the conclusions based on a xed rejection region of z c: 1.645 agree with those found using the p-value approach at o = 0.05? 0 Yes, both approaches produce the same conclusion. CI No, the p-value approach rejects the null hypothesis when the xed rejection region approach fails to reject the null hypothesis. 0 No, lhe xed rejection region approach rejects the null hypothesis when the pvalue approach fails to reject lhe null hypothesis. Should they"? 0 Yes CINo