Question 1

If a coin is balanced so that p(Heads)= p(Tails)= 1/2,then which of the following outcomes is least likely to occur?​

Accepted Answer

A) ​9 Heads in 12 tosses (75% Heads) 
B) ​12 Heads in 16 tosses (75% Heads) 
C) ​30 Heads in 40 tosses (75% Heads) 
D) ​75 Heads in 100 tosses (75% Heads) 
A) ​9 Heads in 12 tosses (75% Heads) 
B) ​12 Heads in 16 tosses (75% Heads) 
C) ​30 Heads in 40 tosses (75% Heads) 
D) ​75 Heads in 100 tosses (75% Heads) A

Question 2

For a binomial distribution with p = 0.20 and n = 100,what is the probability of obtaining a score less than or equal to X = 12?Hint: Use interval-based calculations because no critical region is involved.​

Accepted Answer

A) ​p = 0.3085 
B) ​p = 0.0301 
C) ​p = 0.0228 
D) ​p = 0.0170 
A) ​p = 0.3085 
B) ​p = 0.0301 
C) ​p = 0.0228 
D) ​p = 0.0170 B

Question 3

If other factors are held constant,both the mean and standard deviation for the binomial distribution will both increase as the sample size increases.​

Accepted Answer

A) True 
 B)False  True

Question 4

State the four-step procedure used in a binomial hypothesis test.​

Accepted Answer

Step 1: State the hypotheses.

Question 5

The null hypothesis for a binomial test states that p = 1/5.What is the z-score for X = 29 in a sample of n = 100?​

Accepted Answer

A) ​z = 0.8 
B) ​z = 1.8 
C) ​z = 2.25 
D) ​z = 0.5625 
A) ​z = 0.8 
B) ​z = 1.8 
C) ​z = 2.25 
D) ​z = 0.5625

Question 6

For a binomial distribution with p = 1/4 and a mean of m = 12,the standard deviation is s = 9.​

Accepted Answer

A) True 
 B)False

Question 7

Which of the following is the correct null hypothesis for a sign test?​

Accepted Answer

A) ​p = q 
B) ​p - q 
C) ​p + q = 1.00 
D) ​p = 0 
A) ​p = q 
B) ​p - q 
C) ​p + q = 1.00 
D) ​p = 0

Question 8

A binomial distribution with p = 1/3 has a standard deviation of 4.What is the sample size?​

Accepted Answer

A) ​n = 16 
B) ​n = 24 
C) ​n = 36 
D) ​n = 72 
A) ​n = 16 
B) ​n = 24 
C) ​n = 36 
D) ​n = 72

Question 9

For any binomial distribution,p + q = 1.00.​

Accepted Answer

A) True 
 B)False

Question 10

What is the standard deviation for the normal approximation to the binomial distribution with n = 72 and p = 1/3?​

Accepted Answer

A) ​4 
B) ​6 
C) ​16 
D) ​24 
A) ​4 
B) ​6 
C) ​16 
D) ​24

Question 11

The binomial test is only used when the data consist of classifying each individual into one of two categories.​

Accepted Answer

A) True 
 B)False

Question 12

A binomial distribution has p = 4/5.How large a sample would be necessary to justify using the normal approximation to the binomial distribution?​

Accepted Answer

A) ​at least 10 
B) ​at least 13 
C) ​at least 40 
D) ​at least 50 
A) ​at least 10 
B) ​at least 13 
C) ​at least 40 
D) ​at least 50

Question 13

The state lottery claims that the probability of winning is p = 1/10 for one of its scratch-off games.If this is true,then what is the probability of getting at least 10 winning tickets in a sample of n = 100?Hint: Use interval-based calculations because no critical region is involved.​

Accepted Answer

A) ​p(z > 0.17) 
B) ​p(z > 0) 
C) ​p(z > 0.27) 
D) ​p(z > 0.33) 
A) ​p(z > 0.17) 
B) ​p(z > 0) 
C) ​p(z > 0.27) 
D) ​p(z > 0.33)

Question 14

If either pn or qn is greater than 10,the test statistic for the binomial test is a z-score and the critical values are obtained from the unit normal table.​

Accepted Answer

A) True 
 B)False

Question 15

Assume there are two categories,A and B,and the symbol X stands for the number of individuals classified as belonging to category A in a sample of size n.X can have any value from 0 to n and each value of X has a specific probability.The distribution of probabilities for each value of X is called the binomial distribution.​

Accepted Answer

A) True 
 B)False

Question 16

Explain the four specific cases in which a t test is inappropriate or inconvenient.​

Accepted Answer

1.When you have infinite or undetermined

Question 17

The null hypothesis for the sign test always states that p = q.​

Accepted Answer

A) True 
 B)False

Question 18

Under what circumstances is the normal approximation to the binomial distribution justified?​

Accepted Answer

A) pn or qn ≥ 10 
B) ​pn and qn ≥ 10 
C) ​pn = qn 
D) ​p + q = n 
A) pn or qn ≥ 10 
B) ​pn and qn ≥ 10 
C) ​pn = qn 
D) ​p + q = n

Question 19

For binomial data,what is the value of p + q?​

Accepted Answer

A) ​0.50 
B) ​1.00 
C) ​2.00 
D) ​0.00 
A) ​0.50 
B) ​1.00 
C) ​2.00 
D) ​0.00

Question 20

For a binomial distribution with n = 100,which of the following has the largest standard deviation?​

Accepted Answer

A) ​p = 0.50 
B) p = 0.20​ 
C) ​p = 0.10 
D) ​p = 0.05 
A) ​p = 0.50 
B) p = 0.20​ 
C) ​p = 0.10 
D) ​p = 0.05

If a coin is balanced so that p(Heads)= p(Tails)= 1/2,then which of the following outcomes is least likely to occur?

For a binomial distribution with p = 0.20 and n = 100,what is the probability of obtaining a score less than or equal to X = 12?Hint: Use interval-based calculations because no critical region is involved.

If other factors are held constant,both the mean and standard deviation for the binomial distribution will both increase as the sample size increases.

State the four-step procedure used in a binomial hypothesis test.

The null hypothesis for a binomial test states that p = 1/5.What is the z-score for X = 29 in a sample of n = 100?

For a binomial distribution with p = 1/4 and a mean of m = 12,the standard deviation is s = 9.

Which of the following is the correct null hypothesis for a sign test?

A binomial distribution with p = 1/3 has a standard deviation of 4.What is the sample size?

For any binomial distribution,p + q = 1.00.

What is the standard deviation for the normal approximation to the binomial distribution with n = 72 and p = 1/3?

The binomial test is only used when the data consist of classifying each individual into one of two categories.

A binomial distribution has p = 4/5.How large a sample would be necessary to justify using the normal approximation to the binomial distribution?

The state lottery claims that the probability of winning is p = 1/10 for one of its scratch-off games.If this is true,then what is the probability of getting at least 10 winning tickets in a sample of n = 100?Hint: Use interval-based calculations because no critical region is involved.

If either pn or qn is greater than 10,the test statistic for the binomial test is a z-score and the critical values are obtained from the unit normal table.

Explain the four specific cases in which a t test is inappropriate or inconvenient.

The null hypothesis for the sign test always states that p = q.

Under what circumstances is the normal approximation to the binomial distribution justified?

For binomial data,what is the value of p + q?

For a binomial distribution with n = 100,which of the following has the largest standard deviation?

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Filters

Exam 18: The Binomial Test

If a coin is balanced so that p(Heads)= p(Tails)= 1/2,then which of the following outcomes is least likely to occur?​

For a binomial distribution with p = 0.20 and n = 100,what is the probability of obtaining a score less than or equal to X = 12?Hint: Use interval-based calculations because no critical region is involved.​

If other factors are held constant,both the mean and standard deviation for the binomial distribution will both increase as the sample size increases.​

State the four-step procedure used in a binomial hypothesis test.​

The null hypothesis for a binomial test states that p = 1/5.What is the z-score for X = 29 in a sample of n = 100?​

For a binomial distribution with p = 1/4 and a mean of m = 12,the standard deviation is s = 9.​

Which of the following is the correct null hypothesis for a sign test?​

A binomial distribution with p = 1/3 has a standard deviation of 4.What is the sample size?​

For any binomial distribution,p + q = 1.00.​

What is the standard deviation for the normal approximation to the binomial distribution with n = 72 and p = 1/3?​

The binomial test is only used when the data consist of classifying each individual into one of two categories.​

A binomial distribution has p = 4/5.How large a sample would be necessary to justify using the normal approximation to the binomial distribution?​

The state lottery claims that the probability of winning is p = 1/10 for one of its scratch-off games.If this is true,then what is the probability of getting at least 10 winning tickets in a sample of n = 100?Hint: Use interval-based calculations because no critical region is involved.​

If either pn or qn is greater than 10,the test statistic for the binomial test is a z-score and the critical values are obtained from the unit normal table.​

Explain the four specific cases in which a t test is inappropriate or inconvenient.​

The null hypothesis for the sign test always states that p = q.​

Under what circumstances is the normal approximation to the binomial distribution justified?​

For binomial data,what is the value of p + q?​

For a binomial distribution with n = 100,which of the following has the largest standard deviation?​

Introduction to Statistics

Frequency Distributions

Central Tendency

Variability

Z-Scores: Location of Scores and Standardized Distributions

Probability

Probability and Samples: the Distribution of Sample Means

Introduction to Hypothesis Testing

Introduction to the T Statistic

The T Test for Two Independent Samples

The T Test for Two Related Samples

Introduction to Analysis of Variance

Repeated-Measures Analysis of Variance Anova

Two-Factor Analysis of Variance Independent Measures

Correlation

Introduction to Regression

The Chi-Square Statistic: Tests for Goodness of Fit and Independence

Filters

If a coin is balanced so that p(Heads)= p(Tails)= 1/2,then which of the following outcomes is least likely to occur?

For a binomial distribution with p = 0.20 and n = 100,what is the probability of obtaining a score less than or equal to X = 12?Hint: Use interval-based calculations because no critical region is involved.

If other factors are held constant,both the mean and standard deviation for the binomial distribution will both increase as the sample size increases.

State the four-step procedure used in a binomial hypothesis test.

The null hypothesis for a binomial test states that p = 1/5.What is the z-score for X = 29 in a sample of n = 100?

For a binomial distribution with p = 1/4 and a mean of m = 12,the standard deviation is s = 9.

Which of the following is the correct null hypothesis for a sign test?

A binomial distribution with p = 1/3 has a standard deviation of 4.What is the sample size?

For any binomial distribution,p + q = 1.00.

What is the standard deviation for the normal approximation to the binomial distribution with n = 72 and p = 1/3?

The binomial test is only used when the data consist of classifying each individual into one of two categories.

A binomial distribution has p = 4/5.How large a sample would be necessary to justify using the normal approximation to the binomial distribution?

The state lottery claims that the probability of winning is p = 1/10 for one of its scratch-off games.If this is true,then what is the probability of getting at least 10 winning tickets in a sample of n = 100?Hint: Use interval-based calculations because no critical region is involved.

If either pn or qn is greater than 10,the test statistic for the binomial test is a z-score and the critical values are obtained from the unit normal table.

Explain the four specific cases in which a t test is inappropriate or inconvenient.

The null hypothesis for the sign test always states that p = q.

Under what circumstances is the normal approximation to the binomial distribution justified?

For binomial data,what is the value of p + q?

For a binomial distribution with n = 100,which of the following has the largest standard deviation?