Find the $P$-value obtained when testing the claim that $p=0.75$ when given sample data resulting in a test statistic of $z=1.20$.

The test statistic of z = - l .94 is obtained when testing the claim that p = 3 / 8. Find the critical value(s).

The test statistic of z = 2.01 is obtained when testing the claim that $p \ne 0.345$. Find the critical value(s).

The test statistic of z = 1.00 is obtained when testing the claim that p > 0.3. Find the critical value(s).

The test statistic of z = 2.01 is obtained when testing the claim that $p \ne 0.345$. Find the P-value.

When testing the claim that $p_1=p_2$, a test statistic of $z=-2.05$ is obtained. Find the P-value.

Consider an elevator with a maximum capacity of 4000 lb. When rating elevators, it is common to use a 25% safety factor, so the elevator should actually be able to carry a load that is 25% greater than the stated Limit. The maximum capacity of 4000 lb becomes 5000 lb after it is increased by 25%, so 27 adult male passengers can have a mean weight of up to 185 lb. If the elevator is loaded with 27 adult male passengers, find the probabili ty that it is overloaded because they have a mean weight greater than 185 lb. ( assume that weights of males are normally distributed with a mean of l 89 lb and a standard deviation of 39 lb.) Does this elevator appear to be safe?

Claim: Fewer than 95% of adults have a cell phone. In a Marist poll of 1128 adults, 87% said that they have a cell phone. Find the value of the test statistic.

An elevator at a construction site has a maximum capacity of $2800$ pounds. If the elevator operator weighs $265$ pounds and each cement bag weighs $65$ pounds, how many bags of cement can be safely lifted on the elevator in one trip?

An elevator at a construction site has a maximum capacity of 3000 pounds. If the elevator operator weighs 245 pounds and each cement bag weighs 95 pounds, up to how many bags of cement can be safely lifted on the elevator in one trip?

An elevator at a construction site has a maximum capacity of 2800 pounds. If the elevator operator weighs 265 pounds and each cement bag weighs 65 pounds, up to how many bags of cement can be safely lifted on the elevator in one trip?

The Boeing 757-200 ER airliner carries 200 passengers and has doors with a height of 72 in. The heights of men are normally distributed with a mean of 69.0 in. and a standard deviation of 2.8 in.

a. If a male passenger is randomly selected, find the probability that he can fit through the doorway without bending.

The Boxing $757-200\ \mathrm{ER}$ airliner carries 200 passengers and has doors with a height of 72 in. Heights of men are normally distributed with a mean of $69.0$ in, and a standard deviation of $2.8$ in.

c. When designing the Boeing 757-200 ER airliner, which result is more relevant The height from the previous parts? Why?

Claim: Fewer than 95% of adults have a cell phone. In a Marist poll of 1128 adults, 87% said that they have a cell phone. Identify the null and alternative hypotheses.