91Ó°ÊÓ

Use the following information to answer the next 15 exercises: Indicate if the hypothesis test is for

a. independent group means, population standard deviations, and/or variances known

b. independent group means, population standard deviations, and/or variances unknown

c. matched or paired samples

d. single mean

e. two proportions

f. single proportion

A high school principal claims that 30% of student athletes drive themselves to school, while 4% of non-athletes drive themselves to school. In a sample of 20 student athletes, 45% drive themselves to school. In a sample of 35 non-athlete students, 6% drive themselves to school. Is the percent of student athletes who drive themselves to school more than the percent of nonathletes?

Step by step solution

01

Given information

According to a high school administrator, 30% of student athletes drive themselves to school, whereas only 4% of non-athletes drive themselves. 45 percent of a group of 20 student athletes drive themselves to school.

02

Indicate whether the hypothesis test was successful.

Let $p_a$ be the percentage of athletes who drive themselves to school.

Let$p_{na}$be the percentage of nonathletes who drive themselves to school.

The null and alternative hypothesis are then provided by,

$$\begin{gathered} H_o:p_a=p_{na} \\ {H}_1:p_a>p_{na} \end{gathered}$$

Hence the hypotheses test is for two proportions.

Unlock Step-by-Step Solutions & Ace Your Exams!

• Full Textbook Solutions

  Get detailed explanations and key concepts

• Unlimited Al creation

  Al flashcards, explanations, exams and more...

• Ads-free access

  To over 500 millions flashcards

• Money-back guarantee

  We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91Ó°ÊÓ!