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stats HW 5

Terms in this set (9)

The ______ hypothesis is a statement that the value of a population parameter is equal to some claimed value.
null
The ______ is a value used in making a decision about the null hypothesis and is found by converting the sample statistic to a score with the assumption that the null hypothesis is true.
test statistic
The ______ is the probability of getting a test statistic at least as extreme as the one representing the sample data, assuming that the null hypothesis is true.
p-value
The p-value is the probability of getting a test statistic at least as extreme as the one representing the sample data, assuming that ____.
the null hypothesis is true
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, p, o) for the indicated parameter.
A psychologist claims that more than 5.8% of the population suffers from professional problems due to extreme shyness. Use p, the true percentage of the population that suffers from extreme shyness.
H0: p = 5.8%
H1: p > 5.8%
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, p, o) for the indicated parameter.
An entomologist writes an article in a scientific journal which claims that fewer than 16 in ten thousand male firefies are unable to produce light due to a genetic mutation. Use the parameter p, the true proportion
of firefies unable to produce light.
H0: p = 0.0016
H1: p < 0.0016
A formal hypothesis test is to be conducted using the claim that the mean body temperature is equal to 98.6°F. What is the null hypothesis and how is it denoted?
H0: u = 98.6°F
Express the null hypothesis and the alternative hypothesis in symbolic form. Use the correct symbol (u, p, o) for the indicated parameter.
The manufacturer of a refrigerator system for beer kegs produces refrigerators that are supposed to maintain a true mean temperature, u, of 48°F, ideal for a certain type of German pilsner. The owner of the brewery does not agree with the refrigerator manufacturer, and claims he can prove that the true mean temperature is incorrect.
H0: u = 48°F
H1: u does not = 48°F
Assume a significance level of a = 0.05 and use the given information to complete parts (a) and (b) below.
Original claim: Less than 44% of adults would erase all of their personal information online if they could. The hypothesis test results in a P-value of 0.2013.
a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.)
b. Without using technical terms, state a final conclusion that addresses the original claim.
a. Fail to reject Ho because the P-value is greater than a.
b. There is not sufficient evidence to support the claim that the percentage of adults that would erase all of their personal information online if they could is less than 44%.
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