A local chess club claims that the length of time to play a game has a mean of 43 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ equal to less than or equal to not equal to greater than or equal to greater than less than 43 minutes, but you ▼ reject fail to reject the null hypothesis, ▼ Upper H 0 : mu greater than or equals 43H0: μ≥43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu less than 43H0: μ<43 . A type II error will occur if the actual mean of the length of time to play a game is ▼ greater than less than or equal to less than greater than or equal to equal to not equal to 43 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu less than 43H0: μ<43 Upper H 0 : mu greater than or equals 43H0: μ≥43 .
A local chess club claims that the length of time to play a game has a mean of 43 minutes or more. Write sentences describing type I and type II errors for a hypothesis test of this claim. A type I error will occur if the actual mean of the length of time to play a game is ▼ equal to less than or equal to not equal to greater than or equal to greater than less than 43 minutes, but you ▼ reject fail to reject the null hypothesis, ▼ Upper H 0 : mu greater than or equals 43H0: μ≥43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu less than 43H0: μ<43 . A type II error will occur if the actual mean of the length of time to play a game is ▼ greater than less than or equal to less than greater than or equal to equal to not equal to 43 minutes, but you ▼ fail to reject reject the null hypothesis, ▼ Upper H 0 : mu greater than 43H0: μ>43 Upper H 0 : mu equals 43H0: μ=43 Upper H 0 : mu not equals 43H0: μ≠43 Upper H 0 : mu less than or equals 43H0: μ≤43 Upper H 0 : mu less than 43H0: μ<43 Upper H 0 : mu greater than or equals 43H0: μ≥43 .
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.8: Probability
Problem 32E
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Contingency Table
A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.
Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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Question
A local chess club claims that the length of time to play a game has a
mean
of
43 minutes or more.
Write sentences describing type I and type II errors for a hypothesis test of this claim.A type I error will occur if the actual
the null hypothesis,
.
mean
of the length of time to play a game is
▼
equal to
less than or equal to
not equal to
greater than or equal to
greater than
less than
43
minutes, but you
▼
reject
fail to reject
▼
Upper H 0 : mu greater than or equals 43H0: μ≥43
Upper H 0 : mu not equals 43H0: μ≠43
Upper H 0 : mu equals 43H0: μ=43
Upper H 0 : mu less than or equals 43H0: μ≤43
Upper H 0 : mu greater than 43H0: μ>43
Upper H 0 : mu less than 43H0: μ<43
A type II error will occur if the actual
the null hypothesis,
.
mean
of the length of time to play a game is
▼
greater than
less than or equal to
less than
greater than or equal to
equal to
not equal to
43
minutes, but you
▼
fail to reject
reject
▼
Upper H 0 : mu greater than 43H0: μ>43
Upper H 0 : mu equals 43H0: μ=43
Upper H 0 : mu not equals 43H0: μ≠43
Upper H 0 : mu less than or equals 43H0: μ≤43
Upper H 0 : mu less than 43H0: μ<43
Upper H 0 : mu greater than or equals 43H0: μ≥43
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