Question #8

A genetic experiment involving peas yielded one sample of offspring consisting of 445

green peas and 132 yellow peas. Use a 0.05 significance level to test the claim that under the same circumstances, 23% of offspring peas will be yellow. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, conclusion about the null hypothesis, and final conclusion that addresses the original claim. Use the P-value method and the normal distribution as an approximation to the binomial distribution.

What are the null and alternative hypotheses?

A. H₀:p=0.23

H₁:p<0.23

B. H₀:p=0.23

H₁:p>0.23

C. H₀:p=0.23

H₁:p0.23

D. H₀:p0.23

H₁:p>0.23

E. H₀:p0.23

H₁:p<0.23

F. H₀:p0.23

H₁:p=0.23

What is the test statistic?

z= ___________

(Round to two decimal places as needed.)

What is the P-value?

P-value= __________

(Round to four decimal places as needed.)

What is the conclusion about the null hypothesis?

A. Failtoreject the null hypothesis because the P-value is greaterthan the significance level, .

B. Failtoreject the null hypothesis because the P-value is lessthanorequalto the significance level, .

C. Reject the null hypothesis because the P-value is lessthanorequalto the significance level, .

D. Reject the null hypothesis because the P-value is greaterthan the significance level, .

What is the final conclusion?

A. There isnot sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.

B. There is sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.

C. There is sufficient evidence to warrant rejection of the claim that 23% of offspring peas will be yellow.

D. There isnot sufficient evidence to support the claim that less than 23% of offspring peas will be yellow.

Question #9

Thirty-five different video games showing violence were observed. The duration times of

violence (in seconds) were recorded. When using this sample for a t test of the claim that the population mean is greater than 84 sec, what does df denote, and what is its value?

What does df denote?

A. The number of degrees of freedom

B. The sample size

C. The sample standard deviation

D. The test statistic

The value of df is ___________

(Type an integer or a decimal. Do not round.)

Question #17

In a study of 785 randomly selected medical malpractice lawsuits, it was found that 484

of them were dropped or dismissed. Use a 0.01 significance level to test the claim that most medical malpractice lawsuits are dropped or dismissed.

Which of the following is the hypothesis test to be conducted?

A. H₀:p0.5

H₁:p=0.5

B. H₀:p=0.5

H₁:p<0.5

C. H₀:p>0.5

H₁:p=0.5

D. H₀:p<0.5

H₁:p=0.5

E. H₀:p=0.5

H₁:p>0.5

F. H₀:p=0.5

H₁:p0.5

What is the test statistic?

z= ________

(Round to two decimal places as needed.)

What is the P-value?

P-value= _________

(Round to three decimal places as needed.)

What is the conclusion about the null hypothesis?

A. Reject the null hypothesis because the P-value is greaterthan the significance level, .

B. Failtoreject the null hypothesis because the P-value is greaterthan the significance level, .

C. Failtoreject the null hypothesis because the P-value is lessthanorequalto the significance level, .

D. Reject the null hypothesis because the P-value is lessthanorequalto the significance level, .

What is the final conclusion?

A. There isnot sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

B. There is sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.

C. There is sufficient evidence to warrant rejection of the claim that most medical malpractice lawsuits are dropped or dismissed.

D. There isnot sufficient evidence to support the claim that most medical malpractice lawsuits are dropped or dismissed.