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FDA certification of new drugs. Pharmaceutical companies spend billions of dollars per year on research and development of new drugs. The pharmaceutical company must subject each new drug to lengthy and involved testing before receiving the necessary permission from the Food and Drug Administration (FDA) to market the drug. The FDA’s policy is that the pharmaceutical company must provide substantial evidence that a new drug is safe prior to receiving FDA approval, so that the FDA can confidently certify the safety of the drug to potential consumers.

a. If the new drug testing were to be placed in a test of hypothesis framework, would the null hypothesis be that the drug is safe or unsafe? The alternative hypothesis?

Short Answer

Expert verified
  1. The null hypothesis would be that the drug is unsafe and the alternative hypothesis would be that the drug is safe.

Step by step solution

01

Testing of hypothesis

A statistical hypothesis test is a tool of making statistical decision using experimental data. The hypothesis is an assumption which is tested to check whether the inference drawn from the sample data stand true for the entire population or not.

02

Specifying the null hypothesis

The null hypothesis would be that the drug is unsafe if the new drug testing were to be placed in a test.

03

Specifying the alternative hypothesis

The alternative hypothesis would be that the drug is safe if the new drug testing were to be placed in a test.

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Most popular questions from this chapter

Factors that inhibit learning in marketing. What factors inhibit the learning process in the classroom? To answer this question, researchers at Murray State University surveyed 40 students from a senior-level marketing class (Marketing Education Review). Each student was given a list of factors and asked to rate the extent to which each factor inhibited the learning process in courses offered in their department. A 7-point rating scale was used, where 1 = “not at all” and 7 = “to a great extent.” The factor with the highest rating was instructor related: “Professors who place too much emphasis on a single right answer rather than overall thinking and creative ideas.” Summary statistics for the student ratings of this factor are\(\overline x = 4.70\),\(s = 1.62\)

a. Conduct a test to determine if the true mean rating for this instructor-related factor exceeds 4. Use\(\alpha = 0.05\).Interpret the test results.

b. Examine the results of the study from a practical view, and then discuss why “statistically significant” does not always imply “practically significant.”

c. Because the variable of interest, rating, is measured on a 7-point scale, it is unlikely that the population of ratings will be normally distributed. Consequently, some analysts may perceive the test, part a, to be invalid and search for alternative methods of analysis. Defend or refute this argument

A random sample of 80 observations from a population with a population mean 198 and a population standard deviation of 15 yielded a sample mean of 190.

a. Construct a hypothesis test with the alternative hypothesis that\(\mu < 198\)at a 1% significance level. Interpret your results.

b. Construct a hypothesis test with the alternative hypothesis that

at a 1% significance level. Interpret your results.

c. State the Type I error you might make in parts a and b.

Feminized faces in TV commercials. Television commercials most often employ females or “feminized” males to pitch a company’s product. Research published in Nature (August 27 1998) revealed that people are, in fact, more attracted to “feminized” faces, regardless of gender. In one experiment, 50 human subjects viewed both a Japanese female face and a Caucasian male face on a computer. Using special computer graphics, each subject could morph the faces (by making them more feminine or more masculine) until they attained the “most attractive” face. The level of feminization x (measured as a percentage) was measured.

a. For the Japanese female face, x = 10.2% and s = 31.3%. The researchers used this sample information to test the null hypothesis of a mean level of feminization equal to 0%. Verify that the test statistic is equal to 2.3.

b. Refer to part a. The researchers reported the p-value of the test as p = .021. Verify and interpret this result.

c. For the Caucasian male face, x = 15.0% and s = 25.1%. The researchers reported the test statistic (for the test of the null hypothesis stated in part a) as 4.23 with an associated p-value of approximately 0. Verify and interpret these results.

In a test of \({H_0}:\mu = 100\) against \({H_a}:\mu \ne 100\), the sample data yielded the test statistic z = 2.17. Find the p-value for the test.

In a test of H0:μ=100againstHa:μ>100, the sample data yielded the test statistic z = 2.17. Find and interpret the p-value for the test.

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