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 312 of the 370 respondents use social media in their job search. In addition, 283 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:

H_a:

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.

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.    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.

(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:

H_a:

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 can 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.    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.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.

Answer 1

1 ay - claim. The proportion of the population ly ay claim. The proportion of 22 to 30 year old job seakers who use social media in their job search "extends"797. (px 0.79) i Ho: p=o.n9 versus Ha:p>0.79 cright - to -tailed) li The sample proportion = 1 = 312 0.84321 390 pll- 51 The test satste - - p (0.8452-0.79) 0.74x0.2) 390 2=2.51. in P-value = (0.0060 (IV) &=o.os significance level. P-value a x Decision Reject the Ho Conclusion & we can conclude that the proportion of 22- to 30- social mediarn their job. year old job seekers who use that use search exceeds the proportion of the population searches social media in their job option ) claim: "more than 70% of aa-to 30-year-old job seekers have electronically submitted a resume to an employer. C (670.10). (i) Ho : p=0.10 versus Hai p>0.70. (right-tailed) (ir Sample proportion p= 1 = 283 = 0.1649. The text statistic z =P-P 20-1649 - 0:40) = [27a| Vpce Jo-termoso (41) P-value = 10.0033. (1) At x = 0.05 significance level. p-value <a. Decision : Raject to coption Conclusion: We Can ) Conclude 22 to 30-year old that more than 70% of Job seekers have electronically 370 0.707030 370 submitted a resume to an employer.