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A recent national report states the marital status distribution of the male population age 18 or older is asfollows: Never Married (32.4%), Married(53.1%), Widowed(2.5%), Divorced

A recent national report states the marital status distribution of the male population age 18 or older is asfollows: Never Married (32.4%), Married(53.1%), Widowed(2.5%), Divorced (12%). The table below shows the results of a random sample of 1992 adult men from California. Test the claim that the distribution fromCalifornia is as expected at the = 0.01significance level.

  1. Complete the table by filling in the expected frequencies. Round to the nearest whole number:
Outcome Frequency Expected Frequency
Never Married 648

Married 1067
Widowed 55
Divorced 222
  1. What is the correct statistical test to use? Select an answer Independence Goodness-of-Fit Homogeneity Paired t-test
  2. What are the null and alternative hypotheses? H0:H0: H1:H1:
  3. The degrees of freedom =
  4. The test-statistic for this data = (Please show your answer to three decimal places.)
  5. The p-value for this sample = (Please show your answer to four decimal places.)
  6. The p-value is Select an answer greater than less than (or equal to)
  7. Based on this, we should Select an answer fail to reject the null accept the null reject the null
  8. Thus, the final conclusion is...
    • There is insufficient evidence to conclude that marital status and residency are dependent.
    • There is sufficient evidence to conclude that the distribution of marital status in California is not the same as it is nationally.
    • There is sufficient evidence to conclude that marital status and residency are dependent.
    • There is insufficient evidence to conclude that the distribution of marital status in California is not the same as it is nationally.
    • There is sufficient evidence to conclude that the distribution of marital status in California is the same as it is nationally.

  • Marital status and residency are dependent.
  • The distribution of marital status in California is the same as it is nationally.
  • Marital status and residency are independent.
  • The distribution of marital status in California is not the same as it is nationally.

  • The distribution of marital status in California is not the same as it is nationally.
  • The distribution of marital status in California is the same as it is nationally.
  • Marital status and residency are independent.
  • Marital status and residency are dependent.

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