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True or False: 1. When your Z-statistic is large, your p-value is small. 2. This

ID: 3328930 • Letter: T

Question

True or False:

1. When your Z-statistic is large, your p-value is small.

2. This is a correct Step 3 for a hypothesis test: "We are justified in choosing the Z-test for this study of the mean percentage of university students who have had their flu shots by October 5, because we have a random sample with 27 cases."

3.If you have a sample size of 31, you need to do a t-test rather than a Z-test.

4. For a sample with N< 30, if the 5-Method Normality Check justifies a decision that the sampling distribution of the means is normal, then you can do a Z-test.

Explanation / Answer

1. When your Z-statistic is large, your p-value is small.

Ans: Yes, When Z value is large then p value will be small and thereis much possible to reject the H0.

2. This is a correct Step 3 for a hypothesis test: "We are justified in choosing the Z-test for this study of the mean percentage of university students who have had their flu shots by October 5, because we have a random sample with 27 cases."

Ans: Yes,

In hypothesis testing- step1 is setup null hypothesis and step 2 is setup alternative hypothesis

step 3 Identify the Z statistic

3.If you have a sample size of 31, you need to do a t-test rather than a Z-test.

Ans: False,

If n>30 we use Z test

4.For a sample with N< 30, if the 5-Method Normality Check justifies a decision that the sampling distribution of the means is normal, then you can do a Z-test.

Ans: True.

If   sample with N< 30, if the 5-Method Normality Check justifies a decision that the sampling distribution of the means is normal, then you can do a Z-test.

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