Question

A sample of 1300 computer chips revealed that 40% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 37% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. Make the decision to reject or fail to reject the null hypothesis at the 0.02 level.

Answer #1

Solution :

This is the two tailed test .

The null and alternative hypothesis is

H_{0} : p = 0.40

H_{a} : p
0.40

n = 1000

= 0.37

P_{0} = 0.40

1 - P_{0} = 0.60

z =
- P_{0} / [P_{0
*} (1 - P_{0} ) / n]

= 0.37 - 0.40 / [(0.40 * 0.60) / 1000]

= -1.94

Test statistic = -1.94

P(z < -1.94) = 0.0261

P-value = 2 * 0.0262 = 0.0524

= 0.02

P-value >

Fail to reject the null hypothesis .

A sample of 1600 computer chips revealed that 56% of the chips
fail in the first 1000 hours of their use. The company's
promotional literature states that 59% of the chips fail in the
first 1000 hours of their use. The quality control manager wants to
test the claim that the actual percentage that fail is different
from the stated percentage. Make the decision to reject or fail to
reject the null hypothesis at the 0.02 level.

A sample of 1400 computer chips revealed that 47% of the chips
do not fail in the first 1000 hours of their use. The company's
promotional literature states that 50 % of the chips do not fail in
the first 1000 hours of their use. The quality control manager
wants to test the claim that the actual percentage that do not fail
is different from the stated percentage. Determine the decision
rule for rejecting the null hypothesis, H0 , at...

A sample of 1500 computer chips revealed that 28% of the chips
do not fail in the first 1000 hours of their use. The company's
promotional literature states that 30% of the chips do not fail in
the first 1000 hours of their use. The quality control manager
wants to test the claim that the actual percentage that do not fail
is different from the stated percentage. Determine the decision
rule for rejecting the null hypothesis, H0, at the 0.02...

A sample of 1200 computer chips revealed that 49% of the chips
fail in the first 1000 hours of their use. The company's
promotional literature states that 50% of the chips fail in the
first 1000 hours of their use. The quality control manager wants to
test the claim that the actual percentage that fail is below the
stated percentage. Is there enough evidence at the 0.05 level to
support the manager's claim?
Step 1 of 7:
State the null...

A sample of 900 computer chips revealed that 59% of the chips
fail in the first 1000 hours of their use. The company's
promotional literature states that 62% of the chips fail in the
first 1000 hours of their use. The quality control manager wants to
test the claim that the actual percentage that fail is less than
the stated percentage. Is there enough evidence at the 0.10 level
to support the manager's claim?
Step 1 of 7:
State the...

A sample of 900 computer chips revealed that 68%68% of the chips
fail in the first 1000 hours of their use. The company's
promotional literature states that 67% of the chips fail in the
first 1000 hours of their use. The quality control manager wants to
test the claim that the actual percentage that fail is different
from the stated percentage. Find the value of the test statistic.
Round your answer to two decimal places.

A sample of 1100 computer chips revealed that 70% of the chips
do not fail in the first 1000 hours of their use. The company's
promotional literature states that 73% of the chips do not fail in
the first 1000 hours of their use. The quality control manager
wants to test the claim that the actual percentage that do not fail
is different from the stated percentage. Is there enough evidence
at the 0.05 level to support the manager's claim?

A sample of 1800 computer chips revealed that 41% of the chips
do not fail in the first 1000 hours of their use. The company's
promotional literature states that 44% of the chips do not fail in
the first 1000 hours of their use. The quality control manager
wants to test the claim that the actual percentage that do not fail
is different from the stated percentage. Find the value of the test
statistic. Round your answer to two decimal...

A sample of 1600 computer chips revealed that 78% of the chips
do not fail in the first 1000 hours of their use. The company's
promotional literature states that 77% of the chips do not fail in
the first 1000hours of their use. The quality control manager wants
to test the claim that the actual percentage that do not fail is
more than the stated percentage. Is there enough evidence at the
0.02 level to support the manager's claim?
State...

A sample of 1600 computer chips revealed that 78% of the chips
do not fail in the first 1000 hours of their use. The company's
promotional literature states that 77% of the chips do not fail in
the first 1000hours of their use. The quality control manager wants
to test the claim that the actual percentage that do not fail is
more than the stated percentage. Is there enough evidence at the
0.02 level to support the manager's claim? ....

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 49 seconds ago

asked 11 minutes ago

asked 37 minutes ago

asked 41 minutes ago

asked 56 minutes ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago

asked 1 hour ago