An administrator at a rural college claims that the proportion, p, if students who commute father than fifteen miles to school is more than 15%. To test this, she selects a random sample of 250 students at this college, and she finds that 49 commute farther than fifteen miles to school, is there enough evidence to support the administrator’s claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry you intermediate computations to three or more decimal places and round your answers as specified in the table.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter9: Counting And Probability
Section9.4: Expected Value
Problem 1E: If a game gives payoffs of $10 and $100 with probabilities 0.9 and 0.1, respectively, then the...
icon
Related questions
Topic Video
Question
An administrator at a rural college claims that the proportion, p, if students who commute father than fifteen miles to school is more than 15%. To test this, she selects a random sample of 250 students at this college, and she finds that 49 commute farther than fifteen miles to school, is there enough evidence to support the administrator’s claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry you intermediate computations to three or more decimal places and round your answers as specified in the table.
(a) State the null hypothesis H, and the alternative hypothesis H,.
H :0
H, :0
(b) Determine the type of test statistic to use.
(Choose one)
(c) Find the value of the test statistic. (Round to three or more decimal places.)
(d) Find the p-value. (Round to three or more decimal places.)
(e) Can we support the claim that the proportion of students who commute
farther than fifteen miles to school is more than 15%?
O Yes O No
Transcribed Image Text:(a) State the null hypothesis H, and the alternative hypothesis H,. H :0 H, :0 (b) Determine the type of test statistic to use. (Choose one) (c) Find the value of the test statistic. (Round to three or more decimal places.) (d) Find the p-value. (Round to three or more decimal places.) (e) Can we support the claim that the proportion of students who commute farther than fifteen miles to school is more than 15%? O Yes O No
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Hypothesis Tests and Confidence Intervals for Proportions
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning