One Sample Hypothesis Tests

A random sample of students at a college shows that 54 of 200 students had part-time jobs. We want to see if the proportion of all college students with part time jobs is greater than the national average.

• 1 sample t-test

• 1 prop t-test

• 1 prop z-test

• 1 sample z-test

A group of musicians count how many times they can snap their fingers in 10 seconds with their dominant hands and with their nondominant hands. They will test to see if musicians can snap faster with dominant hands than nondominant hands

• 1 sample t test

• 1 prop z test

• 1 sample z test

• 1 prop t test

Students investigating the packaging of potato chips purchased 6 bags of Lay's Ruffles marked with a net weight of 28.3 grams. They carefully weighed the contents of each bag in order to determine if the bags were underweight.

• 1 sample t test

• 1 sample z test

• 1 prop t test

• 1 prop z test

A company know that last year 40% of its reports in accounting were on time. Using a random sample this year, it wants to see if that proportion has changed.

• 1 prop t test

• 1 sample z test

• 1 prop z test

• 1 sample t test

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%.  Use a  $\alpha=0.01$  level of significance.  

• $H_0:\ \ P=60$
  $H_1:\ \ P\ne60$
  

• $H_0:\ \ P=0.60$
  $H_1:\ \ P\ne0.60$
  

• $H_0:\ \ \mu=60$
  $H_1:\ \ \mu\ne60$
  

• $H_0:\ \ \mu\ge60$
  $H_1:\ \ \mu\le60$
  

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a  $\alpha=0.01$  level of significance.  

What type of test would you need to run for this?  

• Z Test

• T Test

• 1-Prop Z Test

• X² Test

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a  $\alpha=0.01$  level of significance.  

What is the p-value?  Round to 4 decimal places.  

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a  $\alpha=0.01$  level of significance.

• Reject the Null

• Fail to Reject the Null

• Accept the Null

It is said that 60% of families own a pet. Of a sample of 95 families, 70 owned pets. Perform a hypothesis test to determine whether the percent of families who own pets is different than 60%. Use a  $\alpha=0.01$  level of significance.  

What is the conclusion statement?  

• There is enough evidence to reject the claim that the percent of families who own pets is different than 60%

• There is not enough evidence to support the claim that the percent of families who own pets is 60%

• There is enough evidence to support the claim that the percent of families who own pets is different than 60%

• There is not enough evidence to support the claim that the percent of families who own pets is different than 60%

Some people say that more babies are born in September than in any other month. To test this claim, you take a simple random sample of 150 students at your school and find that 21 of them were born in September. You are interested in whether the proportion born in September is higher than 1/12—what you would expect if September was no different from any other month. Thus your null hypothesis is H₀: p= 1/12. The P-value for your test is 0.0056. Which of the following

statements best describes what the P-value measures?

• The probability that September birthdays are no more common that any other month is 0.0056.

• The probability that September birthdays are more common is 0.0056

• The probability that the proportion of September birthdays in the population is not equal to 1/12 is 0.0056

• 0.0056 is the probability of getting a sample with a proportion of September birthdays this far or farther above 1/12 if the true proportion is 1/12

• 0.0056 is the probability of getting a sample with a proportion of September birthdays this close to 1/12 if the true proportion is not 1/12