Question

In a natural population of field mice the coats of some individuals are spotted on the

belly. In a sample of 580 mice from this population, 44 individuals were found to have spots. The small mammal researcher claims that the more than 6% of all mice in this population will have spots?
a. state hypothesis of interest to the researcher
b. compute test statistic

Answer 1

The hypothesis of interest to the researcher is that more than 6% of all mice in the population will have spots. To compute the test statistic, we can use a one-sample proportion test.

Step-by-step explanation:

a. The hypothesis of interest to the researcher is that more than 6% of all mice in the population will have spots.

b. To compute the test statistic, we can use a one-sample proportion test. The formula for the test statistic is: z = (p - P0) / sqrt((P0 * (1-P0)) / n), where p is the proportion of mice with spots in the sample (44/580), P0 is the hypothesized proportion (6% or 0.06), and n is the sample size.

Using this formula, we can calculate the test statistic.