Quantitative Analysis review

What does a p-value represent in hypothesis testing?

• The probability of seeing results like the ones observed, if the null hypothesis is true.

• The chance that the null hypothesis is true based on the data.

• The likelihood that the alternative hypothesis is false

If a p-value is 0.03 and the significance level (α) is set at 0.05, what is the correct conclusion?

• Fail to reject the null hypothesis.

• Reject the null hypothesis.

What is the primary difference between a paired sample t-test and an independent t-test?

• A paired sample t-test compares means within the same group, while an independent t-test compares means between two different groups.

• A paired sample t-test requires three groups, while an independent t-test requires two.

When is it appropriate to use a one-way ANOVA test?

• To compare the means of one variable across three or more groups.

• To measure the relationship between two continuous variables.

• To compare the means of one variable across two groups.

A company claims that its new coffee blend has an average caffeine content of 150 mg per serving.

A researcher collects a sample of 20 servings and finds a sample mean caffeine content of 155 mg, with a standard deviation of 10 mg.

The researcher conducts a one-sample t-test at a significance level of α=0.05.

Which of the following statements is true if the p-value of the test is 0.03?

• The null hypothesis is rejected, and the sample mean is significantly different from 150 mg.

• The null hypothesis is not rejected, and the sample mean is not significantly different from 150 mg.

In SPSS, where can you find the p-value in the output of a t-test?

• In the "Sig. (2-tailed)" column of the t-test results table

• In the "Mean Difference" column of the output.

• In the "Descriptive Statistics" table.

If Levene’s Test for Equality of Variances (in independent t-test) shows a p-value of 0.001, what should you conclude?

• The variances are unequal, and you use the "Equal variances not assumed" row.

• The variances are equal, and you use the "Equal variances assumed" row.

• None

When interpreting the results of a paired sample t-test in SPSS, the p-value is 0.045. If α = 0.05, what can you conclude?

• The means are significantly different.

• The means are not significantly different.

In SPSS output for a one-way ANOVA, where do you find whether the test is significant?

• In the "Between Groups" row under the "Sig." column.

• In the "Post Hoc Tests" section under "Homogeneous Subsets"

• In the "Levene’s Test" row under "Sig."

What does a significant result in a one-way ANOVA imply?

• All group means are significantly different from each other.

• At least one group mean is significantly different from another group mean.

• • None of the group means are significantly different.