A grocer claims 25 percent of customers bring reusable bags. In a random sample of 250 customers, 68 bring bags. For $H_0:p=0.25$ against $H_a:p>0.25$, calculate the z statistic to two decimals.

A radio station claims 20 percent of listeners use its app. In a random sample of 180 listeners, 45 use it. For $H_0:p=0.20$ against $H_a:p>0.20$, what z statistic should be used, to two decimals?

A clinic claims 32 percent of patients use the portal. In a random sample of 120 patients, 30 use it. For $H_0:p=0.32$ against $H_a:p<0.32$, what is the z statistic, to two decimals?

City officials test whether more than 40 percent of survey respondents favor a new park. A random sample of 100 forms has 50 in favor. For $H_0:p=0.40$ and $H_a:p>0.40$, find z to two decimals.

A coach claims 25 percent of athletes stretch daily. In a random sample of 225 athletes, 63 stretch daily. For $H_0:p=0.25$ against $H_a:p>0.25$, compute the z statistic to two decimals.

A school claims 30 percent of students walk to school. In a random sample of 150 students, 36 walk. For $H_0:p=0.30$ against $H_a:p<0.30$, what z statistic results, to two decimals?

A clinic claims 40 percent of patients choose text reminders. In a random sample of 200 patients, 70 choose texts. For $H_0:p=0.40$ against $H_a:p<0.40$, calculate z to two decimals.

A cereal company claims 12 percent of boxes are underfilled. A quality analyst suspects the rate is different. In 250 random boxes, 38 are underfilled. What setup and large-count check fit the test?

A clinic claims 70 percent of adults got a flu shot. A nurse suspects the rate is lower. In 90 random adults, 55 got a flu shot. What setup and large-count check fit the test?

An app claims 40 percent of users enable notifications. A marketer suspects the rate is higher. In 60 random users, 31 enable them. What setup and large-count check fit the test?

A counselor tests a town claim that 15 percent of students bike to school and suspects the true rate is lower. In 80 random students, 8 bike. What setup and large-count check fit the test?

A test of $H_0:p=0.20$ against $H_a:p>0.20$ for late buses gives $z=1.28$. The standard normal area to the right of $1.28$ is $0.100$. What is the p-value, to three decimals?

A test of $H_0:p=0.50$ against $H_a:p\ne 0.50$ for red spins gives $z=-2.10$. The standard normal area left of $-2.10$ is $0.018$. What is the p-value, to three decimals?

A test of $H_0:p=0.35$ against $H_a:p<0.35$ for on-time trains gives $z=0.85$. The standard normal area to the right of $0.85$ is $0.198$. What is the p-value, to three decimals?

A test of $H_0:p=0.60$ against $H_a:p\ne 0.60$ for recycling support gives $z=1.44$. The standard normal area to the right of $1.44$ is $0.075$. What is the p-value, to three decimals?

A parks department tests $H_0:p=0.60$ against $H_a:p>0.60$ for trail support. From 180 random residents, 119 support it; $\hat{p}=0.661$, $z=1.67$, and the p-value is $0.047$. At $\alpha =0.05$, what conclusion follows?

A school tests $H_0:p=0.30$ against $H_a:p<0.30$ for the proportion of students who walk. In 150 random students, 36 walk; $\hat{p}=0.240$, $z=-1.60$, and the p-value is $0.055$. At $\alpha =0.05$, what conclusion follows?

A cafe tests $H_0:p=0.08$ against $H_a:p>0.08$ for refunded orders. In 400 random orders, 43 are refunded; $\hat{p}=0.108$, $z=2.03$, and the p-value is $0.021$. At $\alpha =0.01$, what conclusion follows?

A city tests $H_0:p=0.55$ against $H_a:p\ne 0.55$ for support of a recycling fee. In 220 random residents, 109 support it; $\hat{p}=0.495$, $z=-1.63$, and the p-value is $0.103$. At $\alpha =0.10$, what conclusion follows?

A hospital tests $H_0:p=0.90$ against $H_a:p<0.90$ for reminders arriving within 1 hour. In 120 random reminders, 101 arrive within 1 hour; $\hat{p}=0.842$, $z=-2.13$, and the p-value is $0.017$. At $\alpha =0.05$, what conclusion follows?