95% confidence intervalAre middle class families more likely than working class families to maintain contact with kin? write a paragraph summarizing the results of these tests.a. A sample of 89 middle class families reported an average of 7.3 visits per year with close kin with standard deviation of 0.3 while a sample of 55 working class families averaged 8.2 visits with a standard deviation of .05. Is this difference significant?b. The middle class families averaged 2.3 phone calls (sd of .05) and 8.7 emails (sd of 0.3) per month with close kin. The working class families averaged 2.7 calls (sd of 0.8) and 5.7 emails (sd of 1.1) per month.  Are these differences significant?

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Asked Nov 19, 2019
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95% confidence interval


Are middle class families more likely than working class families to maintain contact with kin? write a paragraph summarizing the results of these tests.

a. A sample of 89 middle class families reported an average of 7.3 visits per year with close kin with standard deviation of 0.3 while a sample of 55 working class families averaged 8.2 visits with a standard deviation of .05. Is this difference significant?

b. The middle class families averaged 2.3 phone calls (sd of .05) and 8.7 emails (sd of 0.3) per month with close kin. The working class families averaged 2.7 calls (sd of 0.8) and 5.7 emails (sd of 1.1) per month.  Are these differences significant?

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Expert Answer

Step 1

a)
Given data

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Middle class Working class Sample size 89 55 7.3 8.2 mean Sample standard deviation 0.3 0.05

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Step 2

Here population standard deviation is unknown for the population, so we will use t-test to test the Hypothesis.
Let 1 subscript denotes middle class and 2 subscript denotes Working class
Formulation of Hypothesis
Null Hypothesis: H0: µ1 = µ2
Alternative Hypothesis: H1: µ1 > µ2

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Х1 — Х2 t = 7.3 8.2 -27.6865 0.32 89 0.052 55 n2 Finding the critical value of t at 0.05 level of significance Degrees of freedom is given by 89+55-2=142 -1.66( From Excel = T.INV(0.05, 142)) to.o5,142 Since, to.05,142 t So, we reject null hypothesis and conclude that middle class families are more likely to maintain contact with kin than working class families.

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Step 3

b)

Given data for phone call...

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Middle class Working class Sample size 89 55 2.3 2.7 mean Sample standard deviation 0.05 0.8 Given data for e-mails Working class Middle class Sample size 89 55 8.7 5.7 mean Sample standard deviation 0.3 1.1

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Hypothesis Testing

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