Question

(a) Write the calm mathematically and identify Ho and H, (b) Find the critical value(s) and identify the rejection region(s). (c) Find the standardized test statistic (d) Decide whether to reject or fail to reject the null hypothesis. A medical researcher says that at least 29% of adults are smokers. In a random sample of 200 adults, 22.5% say they are smokers. At 001, do you have enough evidence to reject the researcher's claim? (a) Which of the following correctly states Ho and H? O A. Ho P20.29 H, p<0.29 OD. Ho p0.29 Hp>029 OB. Ho:p>0.29 HpS029 O E HO P = 0 29 Hp> 0.29 Oc. Họ p<0 29 Hop 2029 OE. Họ p=0 29 Hy p*0.29 b) What is (are) the critical value(s) Zo? Zo = (Use a comma to separate answers as needed Round to two decimal places as needed) Which of the following graphs has the rejection regions) shaded correctly? Click to select your answers le

Answer 1

Here given that, sample proportion = p = 0.225 po= 0.29 , n=200 , x=0.01 a) Test of hypothesis is, Ho : p=0.29 vis . Hai p>0.29 b) Critical value (zo), 2x = 1 2.33] Rejection region: -20 • Zo c) Test statistic : þ- Po Podo N 0.225 - 0. 2g Cong) (0.71) 200 - - 0.065 0.03208 = 1-2.021 d) Decision: 121=2.02 L 12,1 = 2.33 : Accept Ho at 0.01 significance level. Conclusion: Fail to reject Ho. There is not enough evidence to reiect the claim that at least 29%. of odults are smokers.