Question

A researcher is conducting a test to determine if the population mean for group 1 is less than the population mean for group 2. She finds a test statistic of -1.66. With 34 degrees of freedom, which of the following inequalities is true for the p-value of the test? Group of answer choices

0.0005 < P-value < 0.001

0.001 < P-value < 0.005

0.005 < P-value < 0.01

0.01 < P-value < 0.025

0.025 < P-value < 0.05

0.05 < P-value < 0.1

Answer 1

solution:

the given information as follows:

since the given test to determine the population mean for group 1 is less than the population mean for group 2.

so alternative hypothesis will be as follows:

which indicate it as a one tailed test.

so the given test statistics = -1.66

degree of freedom = df = 34

so, p value for left side with test statistics -1.66 and df 34 is = 0.0531

so p value = 0.0531 > 0.05 and p value < 0.1

so correct option is

0.05 < p value < 0.1