# SU Hypothesis Test Involves a Sampling Distribution Questions

Description

1. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

α = 0.05 for a two-tailed test.
2. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

α = 0.09 for a right-tailed test.
3. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

α = 0.05 for a left-tailed test.
4. Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

α = 0.1 for a two-tailed test.
5. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.

Claim: μ = 959. Sample data: n = 25, = 951, s = 25. The sample data appear to come from a normally distributed population with σ = 28.
6. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.

Claim: μ = 119. Sample data: n = 15, = 103, s = 15.2. The sample data appear to come from a normally distributed population with unknown μ and
7. Determine whether the hypothesis test involves a sampling distribution of means that is a normal distribution, Student t distribution, or neither.

Claim: μ = 78. Sample data: n = 24, = 101, s = 15.3. The sample data appear to come from a population with a distribution that is very far from normal, and σ is unknown.
8. Find the P-value for the indicated hypothesis test.

A medical school claims that more than 28% of its students plan to go into general practice. It is found that among a random sample of 130 of the school’s students, 32% of them plan to go into general practice. Find the P-value for a test of the school’s claim.
9. Find the P-value for the indicated hypothesis test.

In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P-value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%.
10. Find the P-value for the indicated hypothesis test.

In a sample of 47 adults selected randomly from one town, it is found that 9 of them have been exposed to a particular strain of the flu. Find the P-value for a test of the claim that the proportion of all adults in the town that have been exposed to this strain of the flu is 8%.

Tags:
null hypothesis

Normal Distribution

hypothesis test

Z Value

sampling distribution

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