Answer these question A medical researcher says that less than 82% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of500 adults in that country, 78% think that healthy children should be required to be vaccinated. At a= 0.05, is there enough evidence to support the researcher'sclaim? Complete parts (a) through (e) below.Identify the critical value(s) for this test.Zo =1.64(Round to two decimal places as needed. Use a comma to separate answers as needed.)Identify the rejection region(s). Select the correct choice below and fill in the answer box(es) to complete your choice.(Round to two decimal places as needed.)A. The rejection region is z < -1.64.O B. The rejection regions are z<and z>OC. The rejection region is(c) Find the standardized test statistic z.z-D(Round to two decimal places as needed.)Clear allCheck answerGet more help -View an exampleHelp me solve this49°FIQOKaere to searchd田

Given that A medical researcher says that less than 82% of the adults in certain country thinks that healthy children should be required to be vaccinated. Sample size (n) = 500 In sample size of 500 adults 78% think that healthy children should be required to be vaccinated. Level of significance (α) = 0.05 Sample proportion (p)= 0.78 Hypothesized proportion (P) = 0.82Null hypothesis Ho : P≥0.82 Alternative hypothesis H1 : P<0.82 [Claim] (Left tailed ) Level of significance (α) = 0.05 Test statistic (z) = (p-P)P(1-P)n Test statistic (z) = (0.78-0.82)0.82(1-0.82)500=-0.040.017181385=-2.328 Test statistic (z) = -2.33 Critical value : At (α) = 0.05 ; Left tailed test ; Z critical value (Zc) = -1.64 The rejection region is Z<-1.64 The test statistic lies in the rejection region . Decision : We reject null hypothesis H0 ; (z-stat > z-crit) Conclusion : Our claim is H1 and we rejected H0 ; We have enough evidence to support the claim that less than 82% of the adults in certain country thinks that healthy children should be required to be vaccinated.