P(1-p) • The p-value is two times the area under the curve to the left of the value of the test statistic. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Twontailed
P(1-p) • The p-value is two times the area under the curve to the left of the value of the test statistic. Normal Distribution Step 1: Select one-tailed or two-tailed. O One-tailed O Twontailed
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:Here is some information to help you with your Z-test.
p-p
• The value of the test statistic is given by
p (1-р)
• The p-value is two times the area under the curve to the left of the value of the test statistic.
Normal Distribution
0.4
Step 1: Select one-tailed or two-tailed.
O One-tailed
O Two-tailed
0.3
Step 2: Enter the test statistic.
(Round to 3 decimal places.)
0.2-
Step 3: Shade the area represented by
the p-value.
0,1
Step 4: Enter the p-value.
(Round to 3 decimal places.)
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Transcribed Image Text:The magazine Tech Worx reported that 89% of software engineers rate the company they work for as "a great place to work." As a veteran headhunter, you
claim the percentage given in the report is not correct. In a survey of 220 randomly chosen software engineers, 191 rated the company they work for as "a
great place to work."
Complete the parts below to perform a hypothesis test to see if there is enough evidence, at the 0.10 level of significance, to support your claim that the
proportion, p, of all software engineers who rate the company they work for as "a great place to work" is not 89%.
(a) State the null hypothesis H, and the alternative hypothesis H, that you would use for the test.
P
O<O
OSO
H;: 0
O=0
(b) For your hypothesis test, you will use a Z-test. Find the values of np and n (1-p) to confirm that a Z-test can be used. (One standard is that np2 10
and n(1-p) 2 10 under the assumption that the null hypothesis is true.) Here n is the sample size and p is the population proportion you are testing.
np=0
n (1-p)= 0
(c) Perform a Z-test and find the p-value.
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