The Percentage of Complete Passes Is an Important Measure for a Quarterback

question 56

Essay

The percentage of complete passes is an important measure for a quarterback in the NFL. A particular quarterback has a career completion percentage of 55%. The quarterback got a new coach and then played a few games where he completed 48 of 100 passes.
A) Specify the null and alternative hypotheses to determine whether the proportion of completed passes has decreased with the new coach.
B) Calculate the value of the test statistic and the p-value.
C) At the 5% significance level, can you conclude that the quarterback's completion percentage has decreased?

• A) Specify the null and alternative hypotheses to determine whether the proportion of completed passes has decreased with the new coach.
• B) Calculate the value of the test statistic and the p-value.
• C) At the 5% significance level, can you conclude that the quarterback's completion percentage has decreased?

---

Definitions:

Dopamine Levels

The concentration of the neurotransmitter dopamine in the brain, which influences mood, motivation, reward, and motor control.

Hypnotized Person

An individual in a state of hypnosis, characterized by increased focus, concentration, and suggestibility, often used for therapeutic purposes.

Dissociate

The process of feeling disconnected from one's thoughts, feelings, memories, or sense of identity, often as a defense mechanism during trauma.

Altered State

A mental state that significantly differs from a normal waking state, due to various causes such as meditation, drugs, or hypnosis.