I. Do the following: a. State the null and alternative hypotheses, identify which represents the claim, b. Determine when a type I or type II error occurs for a hypothesis test of the claim. c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning. d. Explain how you should interpret a decision that rejects the null hypothesis. e. Explain how you should interpret a decision that fails to reject the null hypothesis. Problem An agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.3: Conditional Probability; Independent Events; Bayes' Theorem
Problem 39E: The following problem submitted by Daniel Hahn of Blairstown, Iowa, appeared in the Ask Marilyn...
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I. Do the following:
a. State the null and alternative hypotheses, identify which represents the claim,
b. Determine when a type I or type II error occurs for a hypothesis test of the claim.
c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
Explain your reasoning.
d. Explain how you should interpret a decision that rejects the null hypothesis.
e. Explain how you should interpret a decision that fails to reject the null hypothesis.
Problem
An agricultural cooperative guarantees that the mean shelf life of a certain type of dried
fruit is at least 400 days.
II. Conduct a hypothesis test
A research center claims that less than 50% of senior high school students in public
schools in the Philippines have accessed the Internet using cellular phones. In a random
sample of 100 SHS students, 39% say they have accessed the Internet using cellular
phones. At = 0.01, is there enough evidence to support the researcher’s claim?

I. Do the following:
a. State the null and alternative hypotheses, identify which represents the claim,
b. Determine when a type I or type II error occurs for a hypothesis test of the claim.
c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
Explain your reasoning.
d. Explain how you should interpret a decision that rejects the null hypothesis.
e. Explain how you should interpret a decision that fails to reject the null hypothesis.
Problem
An agricultural cooperative guarantees that the mean shelf life of a certain type of dried
fruit is at least 400 days.
II. Conduct a hypothesis test
A research center claims that less than 50% of senior high school students in public
schools in the Philippines have accessed the Internet using cellular phones. In a random
sample of 100 SHS students, 39% say they have accessed the Internet using cellular
phones. At = 0.01, is there enough evidence to support the researcher's claim?
Transcribed Image Text:I. Do the following: a. State the null and alternative hypotheses, identify which represents the claim, b. Determine when a type I or type II error occurs for a hypothesis test of the claim. c. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed. Explain your reasoning. d. Explain how you should interpret a decision that rejects the null hypothesis. e. Explain how you should interpret a decision that fails to reject the null hypothesis. Problem An agricultural cooperative guarantees that the mean shelf life of a certain type of dried fruit is at least 400 days. II. Conduct a hypothesis test A research center claims that less than 50% of senior high school students in public schools in the Philippines have accessed the Internet using cellular phones. In a random sample of 100 SHS students, 39% say they have accessed the Internet using cellular phones. At = 0.01, is there enough evidence to support the researcher's claim?
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