A school claims that 70% of seniors buy lunch on campus. A student council suspects the true proportion is lower, using a random sample of 120 seniors. What hypotheses fit this test?

A clinic advertises that 92% of appointments start on time. A patient group suspects the true proportion is less, using a random sample of 80 appointments. State the correct hypotheses.

A website says 40% of visitors use phones. The manager wants to test whether the true proportion is different, using a random sample of 300 visits. What hypotheses should be used?

A factory claims that no more than 3% of its bulbs are defective. An inspector tests whether the true defect proportion is higher, using a random sample of 250 bulbs. Choose the hypotheses.

A library reports that 55% of cardholders use e-books. A librarian suspects the true proportion is not 55%, using a random sample of 160 cardholders. Write the hypotheses.

A coach claims that 65% of free throws are made by the team. An analyst suspects the true proportion is higher, using a random sample of 200 free throws. State the hypotheses.

A city says 25% of households compost food scraps. A reporter suspects the true proportion is lower, using a random sample of 180 households. What is the correct hypothesis pair?

A streaming service claims that 18% of accounts share passwords. The company tests whether the true proportion has changed, using a random sample of 500 accounts. Give the hypotheses.

A pollster reports that 48% of voters support a measure. A campaign tests whether the true support proportion is greater, using a random sample of 600 voters. What hypotheses fit?

A park department says 10% of trail signs need repair. A volunteer group suspects the true proportion is not 10%, using a random sample of 90 signs. State the hypotheses.

A cafeteria states that the mean soup serving is 300 milliliters. A student tests whether the mean serving is less, using a random sample of 35 servings. Write the hypotheses.

A bus agency claims that the mean wait time is 8 minutes. A commuter group tests whether the mean wait time differs, using a random sample of 50 waits. What hypotheses should be used?

A dairy says its mean carton fill is 1 liter. An inspector suspects the mean fill is lower, using a random sample of 40 cartons. State the correct hypotheses.

A tire maker claims the mean tread life is 60,000 kilometers. A consumer lab tests whether the mean tread life is greater, using a random sample of 32 tires. Give the hypotheses.

A hospital states that its mean emergency room wait is 42 minutes. An administrator tests whether the mean wait has changed, using a random sample of 45 visits. What hypotheses fit?

A bakery claims that the mean cookie mass is 30 grams. A quality manager suspects the mean mass is above 30 grams, using a random sample of 25 cookies. Write the hypotheses.

A fitness app says the mean daily walking distance for its users is 5 kilometers. A researcher suspects it is different, using a random sample of 70 users. State the hypotheses.

A greenhouse claims its mean tomato yield is 4.2 kilograms per plant. A farmer tests whether the mean yield is lower, using a random sample of 28 plants. What hypotheses should be used?

A swim team claims its mean 50-meter time is 31 seconds. A coach tests whether the mean time is faster, using a random sample of 20 swims. Choose the hypotheses.

A lab states that a process has a mean temperature of 22 °C. A technician tests whether the mean temperature is higher, using a random sample of 36 readings. Give the hypotheses.

A tutoring center tests whether its mean homework time differs from 75 minutes, using a random sample of 30 students with $\bar{x}=82$ minutes. What does $H_0$ state?

A store tests whether the proportion of receipts paid by card differs from 0.60, using a random sample of 150 receipts with $\hat{p}=0.68$. What does $H_0$ state?

A water plant tests whether its mean nitrate level differs from 6 milligrams per liter, using 24 samples with $\bar{x}=5.4$. What is the content of $H_0$?

A school tests whether the proportion of students in after-school clubs is below 0.35, using 110 students with $\hat{p}=0.29$. What does $H_0$ say?

A delivery service tests whether mean package mass exceeds 2.5 kilograms, using a random sample of 40 packages with $\bar{x}=2.8$ kilograms. What does $H_0$ state?

A museum tests whether the proportion of visitors under age 18 is above 0.22, using 200 visitors with $\hat{p}=0.27$. What does $H_0$ state?

A student writes $H_0:\hat{p}=0.20$ and $H_a:\hat{p}>0.20$ to test whether more than 20% of 900 students ride the bus, after 55 bus riders in 180 sampled students. What correction is needed?

A student writes $H_0:\bar{x}=12$ and $H_a:\bar{x}<12$ to test whether a machine's mean fill is under 12 grams, using 30 bags with $\bar{x}=11.6$ grams. What correction is needed?

A pair is written $H_0:\hat{p}=0.75$ and $H_a:\hat{p}\ne 0.75$ to test whether 75% of 400 members renew, using 100 sampled members with 71 renewals. What needs fixing?

A student writes $H_0:\bar{x}=100$ and $H_a:\bar{x}>100$ to test whether mean battery life exceeds 100 hours, using 45 batteries with $\bar{x}=104$ hours. How should it be corrected?

A student writes $H_0:\hat{p}=0.12$ and $H_a:\hat{p}<0.12$ to test whether a defect rate is below 12%, after 18 defects in 200 sampled parts. What correction is needed?

A student writes $H_0:\bar{x}=18$ and $H_a:\bar{x}\ne 18$ to test whether mean plant height differs from 18 centimeters, using 26 plants with $\bar{x}=19.1$ centimeters. What is the correction?

A pair is written $H_0:\hat{p}=0.30$ and $H_a:\hat{p}>0.30$ to test whether over 30% of households use solar panels, using 140 households with 49 users. What needs correction?

A researcher tests $H_0:\mu =7$ against $H_a:\mu >7$ for the mean daily screen time of ninth graders in hours, using a random sample of 60 students. What does $H_a$ say in words?

A city tests $H_0:p=0.40$ against $H_a:p<0.40$ for the proportion of residents using public transit, using a random sample of 250 residents. What does $H_a$ mean?

A coach tests $H_0:\mu =5.8$ against $H_a:\mu \ne 5.8$ for mean long-jump distance in meters, using a random sample of 18 jumps. What is $H_a$ in words?

A nurse tests $H_0:p=0.15$ against $H_a:p>0.15$ for the proportion of patients missing appointments, using a random sample of 300 patients. What does $H_a$ say?

A farmer tests $H_0:\mu =2.6$ against $H_a:\mu <2.6$ for mean water use in liters per plant, using a random sample of 40 plants. What does $H_a$ mean?

A newspaper tests $H_0:p=0.52$ against $H_a:p\ne 0.52$ for the proportion of voters favoring a proposal, using a random sample of 800 voters. What is $H_a$ in words?

A lab tests $H_0:\mu =98$ against $H_a:\mu >98$ for mean reaction time in milliseconds, using a random sample of 55 trials. What does $H_a$ say in words?