Question

You may need to use the appropriate appendix table or technology to answer this question.

According to Inc.com, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. Suppose a survey of 22- to 30-year-old job seekers showed that 308 of the 370 respondents use social media in their job search. In addition, 279 of the 370 respondents indicated they have electronically submitted a resume to an employer.

(a)

Conduct a hypothesis test to determine if the results of the survey justify concluding the proportion of 22- to 30-year-old job seekers who use social media in their job search exceeds the proportion of the population that use social media in their job search. Use α = 0.05.

State the null and alternative hypothesis. (Enter != for ≠ as needed.)

H0:

Ha:

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value = 0.8324

State your conclusion.

Reject H0. We can conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches.Do not reject H0. We cannot conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches.    Reject H0. We cannot conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches.Do not reject H0. We can conclude that the proportion of 22- to 30-year-old job seekers who use social media in their job searches exceeds the proportion of the population that use social media in their job searches.

(b)

Conduct a hypothesis test to determine if the results of the survey justify concluding that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Using α = 0.05, what is your conclusion?

State the null and alternative hypothesis. (Enter != for ≠ as needed.)

H0:

Ha:

Find the value of the test statistic. (Round your answer to two decimal places.)

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

Do not reject H0. We cannot conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.Reject H0. We cannot conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.    Reject H0. We can conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.Do not reject H0. We can conclude that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer.

Answer 1