according to historical data, it is believed ...

according to historical data, it is believed that 12% of american adults work more than one job. to investigate if this claim is still accurate today, a random sample of 100 american adults is selected. it is discovered that 18 of them work more than one job. a researcher would like to know if the data provide convincing evidence that the true proportion of american adults who work more than one job differs from 12%. the standardized test statistic is z = 1.85 and the p - value is 0.0644. what decision should the researcher make using the α = 0.05 significance level? reject h0 because the p - value is greater than α = 0.05. reject ha because the p - value is greater than α = 0.05. fail to reject h0 because the p - value is greater than α = 0.05. fail to reject ha because the p - value is greater than α = 0.05.

Answer

# Explanation: ## Step1: Recall hypothesis - testing decision rule In hypothesis - testing, if the P - value is greater than the significance level $\alpha$, we fail to reject the null hypothesis $H_0$. If the P - value is less than $\alpha$, we reject $H_0$. ## Step2: Compare P - value and $\alpha$ We are given that $\alpha = 0.05$ and the P - value is $0.0644$. Since $0.0644>0.05$. # Answer: Fail to reject $H_0$ because the P - value is greater than $\alpha = 0.05$.