Determine whether each of the following pairs of hypotheses is valid for a hypothesis test. Explain reasons for any pair that is indicated to be invalid. 3. Ho: b. H0: c. Ho: p=15,HA:p>15 d. Ho:p530,HA:p230 p=20,HA:p#20 e. Ho;is45,HA;(>45 p30 f. Ho:ps50,HA:u>50 a. Is the pair of hypotheses H0: p =15, HA: p >15 valid? . No, because the null hypothesis does not contain an equality sign. . No, because the parameter being tested is not a population parameter. No, because the null hypothesis and alternative hypothesis contain population values that overlap. . No, because the alternative hypothesis does not include all population values that are not included in the null hypothesis. . Yes, because the null hypothesis contains an equality sign and the alternative hypothesis includes all population values not included in the null hypothesis. b. Is the pair of hypotheses H0: p =20, HA: pal 20 valid? OA. OB. OC. OD. OE. No, because the alternative hypothesis does not include all population values not included in the null hypothesis. No, because the parameter being tested is not a population parameter. No, because the null hypothesis does not contain an equality sign. No, because the null hypothesis and alternative hypothesis contain population values that overlap. Yes, because the null hypothesis contains an equality sign and the alternative hypothesis includes all population values not included in the null hypothesis. C. Is the pair of hypotheses HO: p. 30 valid? OA. No, because the null hypothesis and alternative hypothesis contain population values that overlap. . No, because the alternative hypothesis does not include all population values that are not included in the null hypothesis. . Yes, because the null hypothesis contains an equality sign and the alternative hypothesis includes all population values not included in the null hypothesis. . No, because the parameter being tested is not a population parameter. No, because the null hypothesis does not contain an equality sign. d. Is the pair of hypotheses H0: p S 30, HA: p. 2 30 valid? OA. OB. OC. OD. OE. No. because the null hypothesis does not contain an equality sign. No, because the null hypothesis and alternative hypothesis contain population values that overlap. Yes, because the null hypothesis contains an equality sign and the alternative hypothesis includes all population values not included in the null hypothesis. No, because the parameter being tested is not a population parameter. No, because the alternative hypothesis does not include all population values that are not included in the null hypothesis. e. Is the pair of hypotheses H0: )1 s 45, H A: i > 45 valid? OA. OB. 06. OD. OE. No, because the alternative hypothesis does not include all population values that are not included in the null hypothesis. No, because the parameter being tested is not a population parameter. No, because the null hypothesis and alternative hypothesis contain population values that overlap. No, because the null hypothesis does not contain an equality sign. Yes, because the null hypothesis contains an equality sign and the alternative hypothesis includes all population values not included in the null hypothesis. f. Is the pairof hypotheses H0: p.550, HA: p>50 valid? 0 A. Yes, because the null hypothesis contains an equality sign and the alternative hypothesis includes all population values not included in the null hypothesis. 0 B. No, because the null hypothesis and alternative hypothesis contain population values that overlap. O C. No, because the alternative hypothesis does not include all population values that are not included in the null hypothesis. 0 D. No, because the null hypothesis does not contain an equality sign. 0 E. No, because the parameter being tested is not a population parameter