Question

Decide whether the normal sampling distribution can be used. It can be used, test the dam about the population proportion p at the given level of significance a using the given sample statistics Claim p 0.26 0.05, Sample statistics: p=0.22, n = 100 Can the normal sampling distribution be used? O A No, because ng is less than 5. OB. Yes, because both np and ng are greater than or equal to 5. OC. No, because np is less than 5 OD Yes, because pq is greater than 0.05. State the null and alternative hypotheses. OAHp20.26 H <0.26 OB. Ho p=0.26 Hip#0 26 OCH PS0.26 Hp>0.26 OD. The test cannot be performed Determine the critical values). Select the correct choice below and necessary, fill in the answer box to complete your choice O A. The critical value(s) istare (Round to two decimal places as needed. Use a comma to separate answers as needed.) OB. The test cannot be performed Find the z-test statistic Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA 2 (Round to two decimal places as needed.)

Answer 1

Cuiven that, n=100, P=0:22 P=0:26 Null hypothesis- HO! P=0:26, Vs H,:P$0:26 r. np=100X0.20€ 26. 9=1-PE1-0.26=074 19=674 yes, B)' because both Dp and ng is gouter thans - coitical value is L=0 os % = 0.025 24/2 = 196 or Zap=-1.96. Test statistics.. р. р. PCI-P) 7- 8:22- 0.26 0.26(1-0-26) 100 Z=-0.98 Hence, Cal. 2=-0.91 > crit 2=-1.96 We fail to reject Ho, The data do not provide sufficient evidence to support the claim