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Hypothesis Testing for a Proportion

Authored by SAM BURGESON

Mathematics

9th - 12th Grade

CCSS covered

Used 7+ times

Hypothesis Testing for a Proportion
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30 questions

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1.

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Identify the correct null hypothesis:


Is the proportion of babies born male different from 50%? In a sample of 200 babies, 96 were male. Test the claim using a level of significance of 1%.

H0: p = 0.50

H0: µ = 100

H0: p = 0.48

H0: µ = 96

2.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

In testing hypotheses, which of the following would be strong evidence against the null hypothesis?

using a small level of significance
using a large level of significance
obtaining data with a small p-value
obtaining data with a low test statistic

3.

MULTIPLE CHOICE QUESTION

2 mins • 1 pt

A P-value indicates:

the probability that the null hypothesis is true
the probability that the alternative hypothesis is true
the probability of obtaining the results (or one more extreme) if the null hypothesis is true
probability of a Type I error

4.

MULTIPLE CHOICE QUESTION

1 min • 1 pt

Suppose the P-value for a hypothesis test is 0.0304. Using a = 0.05, what is the appropriate conclusion?

a) Reject the null hypothesis

b) Reject the alternative hypothesis

c) Fail to reject the null hypothesis

d) Fail to reject the alternative hypothesis

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When p-value is greater than alpha we:

Reject Ho

Fail to reject Ha

Fail to reject Ho

Reject Ha

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A study found that 68% of the population owns a home. In a random sample of 150 households, 92 owned a home. At the α = 0.01 level, is there enough evidence to reject the claim?


Choose the correct hypotheses.

H0: p = 0.68

Ha: p < 0.68

H0: p = 0.68

Ha: p ≠ 0.68

H0: p = 0.68

Ha: p > 0.68

H0: μ = 0.68

Ha: μ ≠ 0.68

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

A study found that 68% of the population owns a home. In a random sample of 150 households, 92 owned a home. At the α = 0.01 level, is there enough evidence to reject the claim?


Find the z-score.

z = -1.75

z = 1.75

z = -0.08

z = 0.08

Tags

CCSS.HSS.ID.A.4

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