Question

Assume that a hypothesis test of the given claim will be conducted. Identify the type I or type II error for the test.

The principal of a school claims that the percentage of students at his school that come from single-parent homes is 11%. Identify the type II error for the test.

Group of answer choices

Answer #1

Solution:

Claim : percentage is 11%

So , the null and alternative hypothesis are

H_{0} : p = 11% vs H_{1}: p
11%

We know that

Type I error : Reject the null hypothesis when the null hypothesis is true.

Type II error : Fail to reject the null hypothesis , when in fact , the the null hypothesis is NOT true.

So , for given problem ,

Type II error is

**to conclude that the percentage of students
at his school that come from single-parent homes is 11%(i.e. not
different from 11%) , when in fact , the percentage is actually
different from 11%.**

Assume that a hypothesis test of the given claim will be
conducted. Identify the type I or type II error for the
test.
Question 7
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1. Assume that a hypothesis test will be conducted with null
hypothesis H0: μ > 20.
Find the critical value for a sample with n = 15 and α = 0.05.
Group of answer choices
a. 2.145
b.-1.761
c. -1.753
2. The test statistic in a left-tailed test is z = -2.05.
Use this information to find the p-value.
Group of answer choices
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c. 0.4798
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Group of answer choices
small
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Group of answer choices
the Type I error rate is 0.15
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Group of answer choices
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