Question

# The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or...

The Congressional Budget Office reports that 36% of federal civilian employees have a bachelor's degree or higher (The Wall Street Journal). A random sample of 123 employees in the private sector showed that 32 have a bachelor's degree or higher. Does this indicate that the percentage of employees holding bachelor's degrees or higher in the private sector is less than in the federal civilian sector? Use α = 0.05.

What is the value of the sample test statistic? (Round your answer to two decimal places.)

(c) Find (or estimate) the P-value.

P-value > 0.250

0.125 < P-value < 0.250

0.050 < P-value < 0.125

0.025 < P-value < 0.050

0.005 < P-value < 0.025

P-value < 0.005

Solution :

This is the left tailed test .

The null and alternative hypothesis is

H0 : p = 0.36

Ha : p < 0.36

n = 123

x = 32 = x / n = 32 / 123 = 0.2602

P0 = 0.36

1 - P0 = 1 - 0.36 = 0.64

z = - P0 / [ P0 * (1 - P0 ) / n]

= 0.2602 - 0.36 / [ (0.36 * 0.64) / 123]

= -2.307

Test statistic = -2.31

P(z < -2.31) = 0.0104

P-value = 0.0104

0.005 < P-value < 0.025 = 0.05

P-value < Reject the null hypothesis .

There is sufficient evidence to the percentage of employees holding bachelor's degrees or higher

in the private sector is less than in the federal civilian sector .

#### Earn Coins

Coins can be redeemed for fabulous gifts.

##### Need Online Homework Help?

Most questions answered within 1 hours.

##### Active Questions
• Consider a non-rotating space station in the shape of a long thin uniform rod of mass...
• Positronium is an exotic form of matter formed by an electron and a positron (a positively...
• In management describes the duties and responsibilities of the administrative levels. Include examples and facts.
• find three instances involving three different types of bias from any source you like (online article,...
• 1. Mention the most important difference or similarities between the following. a.) Stationary Phase in column...
• A ball is thrown vertically upwards with an initial velocity of 10 m/s, from a platform...