Discuss the below problems:
Q: Use the following information for problems 1-3. Decide whether the normal sampling distribution can be used. If it can be used, test the claim about the population proportion p at the given level of significance using the given sample statistics.
1. Claim: p > 0:30;
= 0:05. Sample statistics: p^ = 0:35, n = 50.
2. Claim: p = 0:80;
= 0:10. Sample statistics: p^ = 0:78, n = 19.
3. Claim: p < 0:22;
= 0:10. Sample statistics: p^ = 0:17, n = 200.
4. Do You Eat Breakfast?
A research center estimates that at least 35% of U.S. adults eat breakfast every day. In a random sample of 300 U.S. adults, 38% say they eat breakfast every day. At alpha = 0:05, conclude a hypothesis test for the population proportion, p. (Note: Please see note above which explains requirements for a hypothesis test.)
5. Genetically Modified Foods
An environmentalist claims that more than 60% of British consumers are concerned about the use of genetic modification in food production and want to avoid genetically modified foods. You want to test this claim. You find that in a random sample of 100 British consumers, 68% say that they are concerned about the use of genetic
modification in food production and want to avoid genetically modified foods. At alpha = 0:10, can you support the environmentalist's claim?
Use the following information for problems 6-8. Find the critical values for the indicated test for a population variance, sample size n, and the level of significance
6. Right-tailed test, n = 18,
= 0:025
7. Left-tailed test, n = 13,
= 0:10
8. Two-tailed test, n = 22,
= 0:05