Question

(a) Draw a curve and label each part to reflect a left, right, or two-tailed test

(b) Claim: Show in symbols H0, Ha

(c) Critical value- find the z0 or t0 values

(d) What are the standardized test statistic z or t, and the P values from the calculator?

(e) Comparing the critical values, α value, against the calculator results, state whether you reject, or fail to reject the null hypothesis

(f) Interpret the decision in the context of the original claim.

-A medical researcher claims that 5% of children under 18 years of age have asthma. In a random sample of 250 children under 18 years of age, 9.6% say they have asthma. At α = 0.05, is there enough evidence to reject the researcher’s claim?

Answer 1

We have probabe provided p = 5% = 0:05 - (Po) = The percentage of children under 18 years of age hove asthma p = 9.84 = 0.098 Sample poopootion of children under 18 years of age have asthma De Sample size := 250 a) Rejection Region Acceptance ateit Rejection Region 012 Lobis .. Zo Lori e ! PIA 5 Two-tailed test: ,estډول : آموحمل . (6 Но : p = 0.05. vs Halipt 0:05 C). Heoe = 0:05. tool in 1 critical value Zol2 = 1.96 d) Test statistice 2065 pi-.po P(1-P) in 0.098=0.05. 0:05*(1-0:05 250

2 ol 3.482286 = 3:4823 ie L > p-value = plizl> 3.4823) 0.0004971 e) Here Zobs = 3:4823 > VQG Lo = 1.96 : We may reject null hypothesis. S conclusion : There is enough evidence to reject the pech gesearcher's claim that. 54. of children under 18 years of age have asthma.