Solve the Problem $\beta$ , Given That the True Value of the Population Proportion

question 109

Multiple Choice

Solve the problem.
-A hypothesis test is performed to test the claim that a population proportion is greater than 0.7. Find the probability of a type II error, $\beta$ , given that the true value of the population proportion is 0.72. The sample size is
50 and the significance level is 0.05.

• A) 0.9706
• B) 0.7123
• C) 0.4129
• D) 0.5754

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Definitions:

Planetary Pinions

Small gears that rotate around a central gear in an automatic transmission or differential, allowing for various gear ratios.

Planetary Members

Components of a planetary gear system, including the sun gear, planet gears, and the ring gear, used to distribute torque and speed in transmissions.

Planetary Ring Gear

A circular gear that surrounds and engages with other gears within a planetary gear system, used in various mechanical and automotive applications for reducing or increasing speed, changing torque, or reversing the direction of rotation.

Planetary Sun Gear

The central gear in a planetary gear system around which the planet gears revolve and are geared to.