BackType I and Type II Errors
In Exercises 25–28, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.)
The proportion of people who write with their left hand is equal to 0.1.
Describe a Type I & Type II Error for each scenario.
A snack company guarantees that each bag contains at least 200 g of chips.
Identifying Type I and Type II Errors In Exercises 31–36, describe type I and type II errors for a hypothesis test of the indicated claim.
Chess A local chess club claims that the length of time to play a game has a standard deviation of more than 12 minutes.
Identifying Type I and Type II Errors In Exercises 31–36, describe type I and type II errors for a hypothesis test of the indicated claim.
Phone Repairs A cell phone repair shop advertises that the mean cost of repairing a phone screen is less than \$120.
In Problems 13–20, (a) state the null and alternative hypotheses in words, (b) state the null and alternative hypotheses symbolically, (c) explain what it would mean to make a Type I error, and (d) explain what it would mean to make a Type II error.
Pizza Historically, the time to order and deliver a pizza at Jimbo’s pizza was 48 minutes. Jim, the owner, implements a new system for ordering and delivering pizzas that he believes will reduce the time required to get a pizza to his customers.
Identifying Type I and Type II Errors In Exercises 31–36, describe type I and type II errors for a hypothesis test of the indicated claim.
Video Game Systems A researcher claims that the percentage of U.S. gamers that are women is not 50%.
In Problems 13–20, (a) state the null and alternative hypotheses in words, (b) state the null and alternative hypotheses symbolically, (c) explain what it would mean to make a Type I error, and (d) explain what it would mean to make a Type II error.
Fair Packaging and Labeling Federal law requires that a jar of peanut butter that is labeled as containing 32 ounces must contain at least 32 ounces. A consumer advocate feels that a certain peanut butter manufacturer is shorting customers by underfilling the jars.
Identifying Type I and Type II Errors In Exercises 31–36, describe type I and type II errors for a hypothesis test of the indicated claim.
Security A campus security department publicizes that at most 25% of applicants become campus security officers.
A test is conducted at the alpha = 0.05 level of significance. What is the probability of a Type I error?
"Simulation Simulate drawing 100 simple random samples of size n = 40 from a population whose proportion is 0.3.
d. How do we know that a rejection of the null hypothesis results in making a Type I error in this situation?"
If we reject the null hypothesis when the statement in the null hypothesis is true, we have made a Type ________ error.
A public health agency claimed last year that the proportion of children vaccinated for measles met their goal of 85%, however, they want to test if the current proportion falls shy of that goal. What are the Type I & Type II Errors? Which is more serious?
Identifying Type I and Type II Errors In Exercises 31–36, describe type I and type II errors for a hypothesis test of the indicated claim.
Repeat Customers A used textbook selling website claims that at least 60% of its new customers will return to buy their next textbook.
Describe a Type I & Type II Error for each scenario.
A computer repair store advertises the average repair cost as \$75 or less.
Type I and Type II Errors
In Exercises 25–28, provide statements that identify the type I error and the type II error that correspond to the given claim. (Although conclusions are usually expressed in verbal form, the answers here can be expressed with statements that include symbolic expressions such as p = 0.1.)
The proportion of drivers who make angry gestures is greater than 0.25.