1) From arandom sample of n₁ =98 ash trees in the City of Rockford,68 of themhave been infested with the emerald ash borer. From another random sample of n₂ =84 ash trees in the City of Freeport,65 of themhave been infested with the emerald ash borer. Test the claim that the proportion of ash trees in Rockford infested with the emerald ash borer is lower than that of Freeport. Use a 1% significance level.

Which of the following would be the appropriate hypotheses?

A) H₀:p₁ =p₂ , H₁:p₁ p₂ D) H₀: ₁ = ₂ , H₁: _{1 2}

B) H₀:p₁ =p₂ , H₁:p₁< p₂ E) H₀: ₁ = ₂ , H₁: ₁< ₂

C) H₀:p₁ =p₂ , H₁:p₁> p₂ F) H₀: ₁ = ₂ , H₁: ₁> ₂

2) From arandom sample of n₁ =481iPhones,45 were found to have security risks. From another random sample of n₂ =395Android phones, 32 were found to have security risks. Test the claim that the proportion ofiPhones havingsecurity risks ishigher than that of android phones. Use a 5% significance level.

Which of the following would be the appropriate calculator test?

Group of answer choices

A) 1-PropZTest

B) 2-PropZTest

C) T-Test

D) 2-SampTTest

3)A random sample of n₁ =45 students taking an online U.S. History course produced amean scorex₁ =77.1 on a standardized exam with standard deviation s₁ =8.3. Another random sample of n₂ =50 students taking a traditional U.S. History course produced amean scorex₂ =79.9 onthe samestandardized exam with standard deviation s₂ =10.2. Test the claim that the students taking an online U.S. History course score worse onthe standardized exam than those taking a traditional U.S. History course. Use a 5% significance level.

Which of the following would be the appropriate hypotheses?

A) H₀:p₁ =p₂ , H₁:p₁ p₂ D) H₀: ₁ = ₂ , H₁: _{1 2}

B) H₀:p₁ =p₂ , H₁:p₁< p₂ E) H₀: ₁ = ₂ , H₁: ₁< ₂

C) H₀:p₁ =p₂ , H₁:p₁> p₂ F) H₀: ₁ = ₂ , H₁: ₁> ₂

4)A random sample of n₁ =36professional football players found that they consume an average ofx₁ =4265 calories per day with standard deviation s₁ =280 calories. Another random sample of n₂ =40 college football players found that they consume an average ofx₂ =3735 calories per day s₂ =190 calories. Test the claim that professional football players consume more calories per day than college football players. Use a 1% significance level.

Which of the following would be the appropriate calculator test?

Group of answer choices

A) 1-PropZTest

B) T-Test

C) 2-PropZTest

D) 2-SampTTest

5)Find the P-value for the following test:

From arandom sample of n₁ =103 homeowners inCook County,82 reported that they have a home security system. From another random sample of n₂ =120 homeowners inMcHenry County,106 reported that they have a home security system. Test the claim that the proportion of homeowners inCook County having home security systems islower than that ofMcHenry County. Use a 1% significance level.

Group of answer choices

A) P-Value = 0.0371

B) P-Value = 0.0743

C) P-Value = 0.9629

D) P-Value = 0.8430

6) Find the P-value for the following test:

A random sample of n₁ =56 organically grownstrawberries had a mean weight x₁ = 1.54 ounces with standard deviation s₁ = 0.16 ounces. Another random sample of n₂ =40strawberries not organically grown had a mean weight x₂ = 1.62 ounces with standard deviation s₂ =0.18 ounces. Test the claim that the population mean weight of organically grownstrawberries islower than the population mean weight of those not organically grown. Use a 5% significance level.

Group of answer choices

A) P-Value = 0.0121

B) P-Value = 0.0137

C) P-Value = 0.0274

D) P-Value = 0.9863