The recruiting firm Jobvite, Inc. reported that 78% of U.S. companies use social

Question

The recruiting firm Jobvite, Inc. reported that 78% of U.S. companies use social networks such as Facebook and Linkedln to recruit job candidates. An economist thinks that the percentage is higher at technology companies. She samples 70 technology companies in a simple random sample and finds that 55 of them use social networks. Can she conclude that more than 78% of technology companies use social networks to recruit job candidates? Claim in symbolic form: _____ Opposite in symbolic form: _____ H_o in symbolic: _____ H_i in symbolic form: _____ Which curve is appropriate? (circle one) z t Degrees of freedom (if not applicable, write NONE on the blank) df = _____ What is the tail structure of the test? (circle one) left right two What is (are) the critical value(s)? _____ What is the value of the test statistic? _____ What is the P-value? _____ What is your initial conclusion? (circle one) Reject the H_o Fail to Reject the H_o Write a complete sentence wording your conclusion (no symbols): _____ Critical Value Sketch: P-Value Sketch:

Explanation / Answer

Claim;

P > 0.78

Opposite form;

P<= 0.78

H0 : P <= 0.78

Ha : P > 0.78

z curve is appropriate

df = None

Right tail structure

The critical value for 0.05 = 1.64

Test statistic:

p = 55/70 = 0.7857, n = 70

= sqrt[ P * ( 1 - P ) / n ]

= sqrt [(0.78 * 0.22) / 70]

= 0.0495
z = (p - P) /

= (.7857 - .78)/0.0495

= 0.1154

p value is calculated using z = 0.1154

p value = 0.4541

As p value is gretaer than significance level 0.05 so we fail to reject the null hypothesis

She cannot conclue that more than 78% of technology companies use social networks to recruit job indicates

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