Question

In: Statistics and Probability

Problem 1 An investigator is interested in knowing whether managers who were raised under authoritarian child-rearing...

Problem 1

An investigator is interested in knowing whether managers who were raised under authoritarian child-rearing practices are more authoritarian in their management practices than those raised in more democratic home backgrounds. He gets 300 managers to complete questionnaires that indicate the sort of child-rearing practices they experienced. From the results, it was possible to divide the 300 managers into 170 who came from democratic homes and 130 from authoritarian homes. The management practices of these two groups were assessed using rating scales completed by their subordinates.

Which statistical test of differences should be used in this study? Why?

Should a one- or two-tailed test be applied? Why?

What is the null hypothesis that is being tested?

If the researcher sets a criterion significance level of p<.001 prior to conducting the study and obtains p of exactly .01, what statement is made about the rejection or retention of the null hypothesis?

Given the information about significance in (d) above is Type I or Type II error more likely?

Solutions

Expert Solution

Which statistical test of differences should be used in this study? Why?

z test for difference in proportions because n1=170 and n2=130 are large samples

and p1^=proprtion under democratic=170/300

p2^=proporton under authoritarian=130/300

we are testing

H0:p1=p2 and H1:p1>p2

Which statistical test of differences should be used in this study? Why?

it should be right tail test as it is given to test:

managers who were raised under authoritarian child-rearing practices are more authoritarian in their management practices than those raised in more democratic home backgrounds.

more is greater than ..its right tail test

What is the null hypothesis that is being tested?

H0:p1=p2

that is

managers who were raised under authoritarian child-rearing practices are equally authoritarian in their management practices to those raised in democratic home backgrounds.

p=0.01

alpha=0.001

p>0.001

Accept null hypothesis.

Retain null hypothesis.

Given the information about significance in (d) above is Type I or Type II error more likely?

Type I error

orchestra answered 1 year ago

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