Question

Question 6 Select one answer. The Food and Drug Administration (FDA) is a U.S. government agency that regulates (you guessed it) food and drugs for consumer safety. One thing the 10 points FDA regulates is the allowable insect parts in various foods. You may be surprised to know that much of the processed food we eat contains insect parts. An example is flour. When wheat is ground into flour, insects that were in the wheat are ground up as well. The mean number of insect parts allowed in 100 grams (about 3 ounces) of wheat flour is 75. If the FDA finds more than this number, they conduct further tests to determine if the flour is too contaminated by insect parts to be fit for human consumption. The null hypothesis is that the mean number of insect parts per 100 grams is 75. The alternative hypothesis is that the mean number of insect parts per 100 grams is greater than 75. Is the following a Type I error or a Type II error or neither? The test fails to show that the mean number of insect parts is greater than 75 per 100 grams when it is. A. B. C. Type I error Type II error Neither

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis: μ = 75
Alternative Hypothesis: μ > 75

Here, the decision made is to fail to reject the null hypothesis

A type II error occurs when one incorrectly fails to reject the null hypothesis.

Hence, Type II error
Option B