1. The day before a televised debate between two political candidates, a sample
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Question
1. The day before a televised debate between two political candidates, a sample of registeres voters is asked which candidate they prefer. The day after the debate the same voters are again asked which candidate they prefer. Is the proportion of the population that prefers Candidate X higher after the debate than before?
2. Researchers want to assess whether the median writing scores from the participants differ significantly from a midpoint value of 50. The variable “write” is an ordinal variable , and although the distribution is symmetric, the researchers cannot assume the data is normally distributed
3. A researcher is interested in evaluating students’ opinions about including a research course in an entry-level professional curriculum. The researcher included three categories (likert scale) Agree (A), neutral (N), Disagree (D) for the students to answer the questions. A random sample of 12 males and 15 females is collected. The researcher is interested in assessing if males and females answer these questions differently. The assumptions are: a) the dependent variable (students’ opinions) is ordinally scaled; b) the independent variable (gender) has only two levels; c) the data is not normally distributed; and the two samples are independent of each other.
4. A researcher is interested in evaluating students’ opinions about including a research course in an entry-level professional curriculum. The researcher included three categories (likert scale) Agree (A), neutral (N), Disagree (D) for the students to answer the questions. A random sample of 12 males and 15 females is collected. The researcher is interested in assessing if males and females answer these questions differently. The assumptions are: a) the dependent variable (students’ opinions) is ordinally scaled; b) the independent variable (gender) has only two levels; c) the data is not normally distributed; and the two samples are independent of each other.
5. Researchers want to test whether the mean writing scores from the participants is the same for males and females. It is assumed the test variable “write” is normally distributed in each of the populations; the cases represent a random sample from the population, and the scores on the test variable are independent of each other; and the variances of the normally distributed test variable for the populations are equal.
From the list shown below, for each of the following hypothesis testing situations indicate the type of test you would use. Unless indicated otherwise, the significance level for all the tests is .05. USE ONLY 1 TEST FOR EACH QUESTION. THANKS!
ONE SAMPLE T-TEST, ONE SAMPLE WILCOXON SIGNED-RANKED TEST, MCNEMAR TEST, TWO SAMPLES T-TEST FOR INDEPENDENT MEANS WITH EQUAL VARIANCES,
PAIRED SAMPLES T-TEST, F-TEST, MANN-WHITNEY U TEST, CHI-SQUARE TEST, PAIRED SAMPLE WILCOXON SIGNED RANKED TEST, AND TWO SAMPLES T TEST FOR INDEPENDENT MEANS WITH UNEQUAL VARIANCES
Explanation / Answer
1. The day before a televised debate between two political candidates, a sample of registeres voters is asked which candidate they prefer. The day after the debate the same voters are again asked which candidate they prefer. Is the proportion of the population that prefers Candidate X higher after the debate than before?
Ans) MCNEMAR TEST
2. Researchers want to assess whether the median writing scores from the participants differ significantly from a midpoint value of 50. The variable “write” is an ordinal variable , and although the distribution is symmetric, the researchers cannot assume the data is normally distributed
Ans) One sample Wilcoxon signed-ranked test ( ONE SAMPLE WILCOXON SIGNED-RANKED TEST )
3. A researcher is interested in evaluating students’ opinions about including a research course in an entry-level professional curriculum. The researcher included three categories (likert scale) Agree (A), neutral (N), Disagree (D) for the students to answer the questions. A random sample of 12 males and 15 females is collected. The researcher is interested in assessing if males and females answer these questions differently. The assumptions are: a) the dependent variable (students’ opinions) is ordinally scaled; b) the independent variable (gender) has only two levels; c) the data is not normally distributed; and the two samples are independent of each other.
Ans) Mann-Whitney U test (MANN-WHITNEY U TEST)
5. Researchers want to test whether the mean writing scores from the participants is the same for males and females. It is assumed the test variable “write” is normally distributed in each of the populations; the cases represent a random sample from the population, and the scores on the test variable are independent of each other; and the variances of the normally distributed test variable for the populations are equal.
Ans) Two samples t test for independent means with equal variances (TWO SAMPLES T-TEST FOR INDEPENDENT MEANS WITH EQUAL VARIANCES)
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