NOTE: The numerical values in this problem have been modified for testing purpos

Question

NOTE: The numerical values in this problem have been modified for testing purposes.

Rice is one of the most widely consumed grain worldwide. As increasing global temperatures hamper rice production, scientists are searching for varieties exhibiting some degree of heat resistance. The HT54 variety of the indica rice, Oryza sativa, was found to tolerate several days of high temperatures up to 48 degrees Celsius (118 degrees Fahrenheit) during its growth. Researchers performed a genetic crossing experiment between the heat-resistant HT54 variety and a control variety, HT13, without heat resistance. All seedlings in the first generation survived a heat challenge of 48 degrees Celsius. In the second generation (F2), only 553 of the 745 plants survived the heat challenge. This would suggest that heat resistance is carried by a single gene with a dominant allele and a recessive allele. Are the findings consistent with a simple dominant-recessive Mendelian genetic model in which F2 is made up of 75% dominant-trait (heat resistance) and 25% recessive-trait rice plants?

State the null and alternative hypotheses (use a one-sample z

test):

versus Ha:H0is not true

versus H0:pheat0.75

versus Ha:H0is not true

versus Ha:H0is not true

pˆheat

( ±

0.0001) =

z

statistic ( ±

0.001) =

P

-value ( ±0.001 (Use software)) = 0.343

Can you conclude that the distribution of heat-resistant phenotypes in F2 follows a dominant-recessive model (75%-25%)?

NOTE: The numerical values in this problem have been modified for testing purposes.

Rice is one of the most widely consumed grain worldwide. As increasing global temperatures hamper rice production, scientists are searching for varieties exhibiting some degree of heat resistance. The HT54 variety of the indica rice, Oryza sativa, was found to tolerate several days of high temperatures up to 48 degrees Celsius (118 degrees Fahrenheit) during its growth. Researchers performed a genetic crossing experiment between the heat-resistant HT54 variety and a control variety, HT13, without heat resistance. All seedlings in the first generation survived a heat challenge of 48 degrees Celsius. In the second generation (F2), only 553 of the 745 plants survived the heat challenge. This would suggest that heat resistance is carried by a single gene with a dominant allele and a recessive allele. Are the findings consistent with a simple dominant-recessive Mendelian genetic model in which F2 is made up of 75% dominant-trait (heat resistance) and 25% recessive-trait rice plants?

State the null and alternative hypotheses (use a one-sample z

Explanation / Answer

versus Ha:pheat0.75

n=745

here std error =(p(1-p)/n)1/2 =0.0159

phat heat =553/745=0.7423

test stat z=(phat-p)/std error =-0.487

p value =0.627

a p value is very high

Yes

Related Questions

Navigate

• Browse (All)
• Browse N
• Subjects

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.