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Mathematics, 07.03.2020 01:32 albusaidi4480

More people are using social media to network, rather than phone calls or e-mails (US News & World Report, October 20, 2010). From an employment perspective, jobseekers are no longer calling up friends for help with job placement, as they can now get help online. In a recent survey of 150 jobseekers, 67 said they used LinkedIn to search for jobs. A similar survey of 140 jobseekers, conducted three years ago, had found that 58 jobseekers had used LinkedIn for their job search. Use Table 1.

Let p1 represent the population proportion of recent jobseekers and p2 the population proportion of job seekers three years ago. Let recent survey and earlier survey represent population 1 and population 2, respectively.

a. Set up the hypotheses to test whether there is sufficient evidence to suggest that more people are now using LinkedIn to search for jobs as compared to three years ago.
H0: p1 βˆ’ p2 β‰₯ 0; HA: p1 βˆ’ p2 < 0
H0: p1 βˆ’ p2 ≀ 0; HA: p1 βˆ’ p2 > 0
H0: p1 βˆ’ p2 = 0; HA: p1 βˆ’ p2 β‰  0

b.
Calculate the value of the test statistic. (Round intermediate calculations to 4 decimal places and final answer to 2 decimal places.)

Test statistic

c. Calculate the critical value at the 5% level of significance. (Round your answer to 3 decimal places.)

Critical value

d. Interpret the results.
Do not reject H0; there is no increase in the proportion of people using LinkedIn
Do not reject H0; there is an increase in the proportion of people using LinkedIn
Reject H0; there is no increase in the proportion of people using LinkedIn
Reject H0; there is an increase in the proportion of people using LinkedIn

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