The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. From the 505

Question

The General Social Survey collects data on demographics, education, and work, among many other characteristics of US residents. From the 505 sampled US residents with a college degree, the average number of hours worked each week was 41.8 hours with a standard deviation of 15.1 hours. For those 667 residents without a degree, the mean was 39.4 hours with a standard deviation of 15.1 hours.

Required:
Conduct a hypothesis test at significance level 0.05.

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Hưng Khoa 4 years 2021-08-14T22:34:28+00:00 1 Answers 92 views 0

Answers ( )

  1. Bo
    0
    2021-08-14T22:35:55+00:00
    Reply

    Answer:

    We reject H0 ; We conclude that mean number of resident with a college degree is greater than those without degree.

    Step-by-step explanation:

    H0 : μ1 = μ2

    H1 : μ1 > μ2

    n1 = 505

    s1 = 41.8

    x1 = 15.1

    n2 = 667

    s2 = 39.4

    x2 = 15.1

    df = smaller, n – 1 ; 505 – 1= 504

    Test statistic :

    (x1 – x2) / √((s1²/n1) + (s2²/n2))

    (41.8 – 39.4) /√((15.1^2 / 505) + (15.1^2 / 667))

    2.4 / 0.8907014

    Test statistic = 2.6945057

    Using the Pvalue calculator from test statistic :

    df = 504 ; α = 0.05

    Pvalue = 0.0036

    Decision region : If Pvalue < α ; Reject H0

    0.0036 < 0.05 ; We reject H0 ; We conclude that mean number of resident with a college degree is greater than those without degree.

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