Question

Test the claim that the proportion of people who own cats is significantly different than 80% at the 0.2 significance level. The null and alternative hypothesis would be: H 0 : μ = 0.8 H 1 : μ ≠ 0.8 H 0 : p ≤ 0.8 H 1 : p > 0.8 H 0 : p = 0.8 H 1 : p ≠ 0.8 H 0 : μ ≤ 0.8 H 1 : μ > 0.8 H 0 : p ≥ 0.8 H 1 : p < 0.8 H 0 : μ ≥ 0.8 H 1 : μ < 0.8 The test is: left-tailed right-tailed two-tailed Based on a sample of 200 people, 79% owned cats The test statistic is: (to 2 decimals) The p-value is: (to 4 decimals) Based on this we: Fail to reject the null hypothesis Reject the null hypothesis

Answer 1

Claim own cats is significantly Pooportion of people who different than 80% Ho: S = 0.80 Hi : 8 7 0.80 ie Giren, § = 0.79 na 200 statistics, a cal = Test s-lo 0.79 – 0.80 1 (0.80) (1-0.80) 200 -0.01 0.028284271 car = -0.35 e value = 2*P(2<- Izcall) = 2*P(2<-0.35) = 2* (0.3631693) = 0.7263386 [l-value = 0.7263| Here a= 0.2 We know that, If P-value > & then we fail to reject Ho.

Merre, ie we can't - We don't the claim. Rvalue (0.7263) reject Ho at have sufficient & (0.2) a=0.2 evidence to scepost