**Question**

A college professor claims that the proportion of students passing a statistics course is 80%. To test this claim, a random sample of 250 students who previously took the course is taken and it is determined that 221 students passed the course.

The following is the setup for this hypothesis test:

*H*0:*p*Â = 0.80

*Ha*:*p*Â â‰ Â 0.80

Find the test statistic for this hypothesis test for a proportion and round your answer to 2 decimal places.

**Question**

A researcher is investigating a government claim that the unemployment rate is less thanÂ 5%. To test this claim, a random sample ofÂ 1500Â people is taken and its determined thatÂ 92Â people are unemployed.

The following is the setup for this hypothesis test:

{H0:p=0.05Ha:p<0.05

Find the test statistic for this hypothesis test for a proportion. Round your answer to 2 decimal places.

**Question**

Devin is a researcher for a pharmaceutical company testing whether a new prescription pain medication causes patients to develop nausea. The medication would have to be scrapped if more thanÂ 6%Â of patients who take the medication develop nausea on a regular basis. Devin randomly selectedÂ 461Â patients for a clinical trial of the medication and found thatÂ 27Â of the patients developed nausea on a regular basis. What are the null and alternative hypotheses for this hypothesis test?

Select the correct answer below:

- {H0:p=0.06; Ha:p<0.06
- {H0:p=0.06; Ha:pâ‰ 0.06
- {H0:p=0.06; Ha:p>0.06
- {H0:pâ‰ 0.06; Ha:p=0.06

**Question**

An airline company claims in a recent advertisement that more thanÂ 94%Â of passenger luggage that it lost is recovered and reunited with the customer withinÂ 1Â day. Hunter is a graduate student studying statistics. For a research project, Hunter wants to find out whether there is convincing evidence in support of the airline company’s claim. He randomly selectsÂ 315Â passengers of the airline whose luggage was lost by the airline and found thatÂ 276Â of those passengers were reunited with their luggage withinÂ 1Â day. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?

Select the correct answer below:

- Although the proportion follows a binomial model with two independent outcomes and the data are selected at random, the number of successes and the number of failures are not both greater than or equal toÂ 5.
- Although the proportion follows a binomial model with two independent outcomes and the number of successes and the number of failures are both greater than or equal toÂ 5, the data are not selected at random.
- Although the data are selected at random and the number of successes and the number of failures are both greater than or equal toÂ 5, the proportion does not follow a binomial model.
- All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses areÂ {H0:p=0.94Ha:pâ‰ 0.94.
- All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses areÂ {H0:p=0.94Ha:p>0.94.
- All of the conditions to conduct the hypothesis test have been met. The null and alternative hypotheses areÂ {H0:p=0.94Ha:p<0.94.

**Question**

Kylie works for a large nursery and is investigating whether to use a new brand of seeds. The new brand of seeds advertises thatÂ 93%Â of the seeds germinate, which is higher than the germination rate of the seeds she is currently using. She will change over to this new brand unless the actual germination rate is less than what is advertised. Kylie conducts an experiment by randomly selectingÂ 76Â seeds of the new brand and plants them. She finds thatÂ 70Â of those seeds germinated. What are the null and alternative hypotheses for this hypothesis test?

Select the correct answer below:

- {H0:p=0.93Ha:p>0.93
- {H0:p=0.93Ha:p<0.93
- {H0:pâ‰ 0.93Ha:p=0.93
- {H0:p=0.93Ha:pâ‰ 0.93

**Question**

A politician recently made the claim thatÂ 47%Â of taxpayers from a certain region do not pay any income taxes. Makayla is a journalist for an online media company and is testing the politician’s claim for an op-ed. She randomly selectsÂ 159Â taxpayers from the region to conduct a survey and finds thatÂ 73Â of them do not pay any income taxes. What are the null and alternative hypotheses for this hypothesis test?

Select the correct answer below:

- {H0:p=0.47Ha:p>0.47
- {H0:p=0.47Ha:p<0.47
- {H0:p=0.47Ha:pâ‰ 0.47
- {H0:pâ‰ 0.47Ha:p=0.47

**Question**

A researcher claims that the proportion of people who are right-handed is greater thanÂ 70%. To test this claim, a random sample ofÂ 600Â people is taken and its determined thatÂ 410Â people are right handed.

The following is the setup for this hypothesis test:

{H0:p=0.70Ha:p>0.70

Find the test statistic for this hypothesis test for a proportion. Round your answer toÂ 2Â decimal places.

**Question**

A college administrator claims that the proportion of students that are nursing majors is greater thanÂ 40%. To test this claim, a group ofÂ 400Â students are randomly selected and its determined thatÂ 190Â are nursing majors.

The following is the setup for this hypothesis test:

{H0:p=0.40Ha:p>0.40

Find the test statistic for this hypothesis test for a proportion. Round your answer toÂ 2Â decimal places.

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