In a previous year, 52% of females aged 15 and older lived alone. A sociologist tests whether this percentage is different today by conducting a random sample of 750 females aged 15 and older and finds that 393 are living alone. Is there sufficient evidence at the a = 0.1 level of significance to conclude the proportion has changed?

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Q: A sample of n=4 scores has SS=60. what is the variance for this sample?

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A: Denote p as the true proportion of aged 18-32, who are continued to be dependent on their parents.

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A: n1 = 52, x1 = 15, p1 = 0.288 n2 = 48, x2 = 18, p2 = 0.375

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Q: A sample of n = 26 scores has SS = 125. What is the variance for this sample ?

A: According to the given information, we have SS = 125 n = 26

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A: Sample  Variance s2 = SS/n-1 Estimated standard error sM = s/sqrt(n).

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Q: If all other values are held constant, what happens to the value of t when sample size increases ?

A: The formula to calculate t value (test statistic) can be written as:

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Types of Bias

Statistics is the study of data collection, organization, analysis, interpretation, and presentation. Statistical bias is a characteristic of a statistical technique or its findings in which the expected value deviates from the actual root quantitative parameter being estimated. According to the actual definition of bias, it refers to the tendency of a statistic to overestimate or underestimate a parameter.