Question

identify the type i error and the type ii error that correspond to the given hypothesis. the percentage of households with internet access is less than 60%. identify the type i error. choose the correct answer below. a. reject the null hypothesis that the percentage of households with internet access is less than 60% when that percentage is actually less than 60%. b. reject the null hypothesis that the percentage of households with internet access is equal to 60% when that percentage is actually equal to 60%. c. fail to reject the null hypothesis that the percentage of households with internet access is less than 60% when the percentage is actually equal to 60%. d. fail to reject the null hypothesis that the percentage of households with internet access is equal to 60% when that percentage is actually less than 60%.

Explanation:

Type I error is rejecting the null hypothesis when it is true. The null hypothesis \(H_0:p = 0.6\) (where \(p\) is the proportion of households with Internet access). If we reject \(H_0\) when \(p = 0.6\) (i.e., when the percentage is actually equal to \(60\%\)), that is a Type I error.

Answer:

B. Reject the null hypothesis that the percentage of households with Internet access is equal to \(60\%\) when that percentage is actually equal to \(60\%\).