“Have you changed industries in the last 12 months?” This question was asked in
ID: 2933456 • Letter: #
Question
“Have you changed industries in the last 12 months?” This question was asked in a LinkedIn survey in 2016 of two independent random samples representing two populations:
Population 1: all Millennial workers that are currently employed
Population 2: all non-Millennial workers that are currently employed
The researcher would like to assess if the proportion of all Millennial workers who are currently employed and have changed industries in the last 12 months would exceed the proportion of all non-Millennial workers who are currently employed and have changed industries in the last 12 months. The significance level is set to 1%. The results of the study are summarized below.
Sample Size Number who have changed industries in the last 12 months Sample proportion 1 = Millennial workers 48 31 0.6458 2 = Non-Millennial workers 72 40 0.5556 Have you changed industries in the last 12 months?" This question was asked in a Linkedln survey in 2016 of two independent random samples representing two populations: Population 1: all Millennial workers that are currently employed . .Population 2: all non-Millennial workers that are currently employed The researcher would like to assess if the proportion of all Millennial workers who are currently employed and have changed industries in the last 12 months would exceed the proportion of all non-Millennial workers who are currently employed and have changed industries in the last 12 months. The significance level is set to 1%. The results of the study are summarized below. Sample Size Number who have changed industries in the last 12 months Sample proportion = Millennial Workers 6458 5556 Non-Millennial workers Question 6 Subquestions The researcher sets up the null hypothesis as Ho: p1 p2. Select the appropriate altemative hypothesis. 0.5 point(s) Ha P1 P2 6.b It is important to understand what the various symbols representing computational quantities mean. Consider the following incorrect definition for the statistic 2- 1point(s) "p2 is the population proportion of non-Millennial workers who have changed industries in the past 12 months." Provide the two words to complete this statement: This would be the correct definition of the statistic if you replace the word with the word- replace the word _population with the wordsample with the word 2- replace the word A2_w replace the word_non-Millennial with the word_Millennial replace the word_proportion with the word _amountExplanation / Answer
Solution6b:
p2^=sample proportion not population proportion
replace the word population with sample
test statistic
common population proportion=x1+x2/n1+n2
=31+40/48+72
=71/120
=0.5917
OPTIONB:
condition:
n1p1^ and n1(1-p1^)
48(0.6458) =30.9984,48(1-0.6458)=17.0016
botha re > 10
n2p2^ and n2(1-p2^)
72(0.5556) and 72(1-0.5556)
40.00,31.99
>10
both are greater than 10
FROM OPTIONS OPTIOND
Solution:
for p value
z=0.9848
alternative one side
alpha=0.01
p value=0.1624
Fail to reject Null hypothesis
Accept Null hypothesis
ANSWER IS NOT
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