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# To describe:How would you test the representative's claim and also identify the type of test.

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Significance tests
asked 2020-12-29
To describe:How would you test the representative's claim and also identify the type of test.

## Answers (1)

2020-12-30
Given info:
The data shows the employee tenure for a sample of male workers and female workers.
Calculation:
The procedures to test the representative claim are given below:
Step 1: Identify the claim and state the null and alternative hypotheses.
Step 2: Identify the level of significance and find the critical values and rejection regions.
Step 3: Obtain the test statistic value.
Step 4: Make decisions about deciding whether to reject or fail to reject the null hypothesis
Step 5: Interpret the decision in the context of the original claim.
Nonparametric tests:
When the distribution of the population is not known or when the population distribution does not follow the normality, then the non-parametric statistical tests are used to test the population parameters.
Parametric tests:
When the distribution of the population is known or when the population distribution followthe normality, then the parametric statistical tests are used to test the population parameters.
The nonparametric tests are used for testing the median, the relation between the variables,and the randomness along with Spearman rank correlation coefficient and the parametric tests are used for testing the mean, proportion, and variance.
Here, the claim is that “there is a difference between the median tenures for male workers and female workers”,
Thus, the nonparametric tests are used for testing the given claim.

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In there a relationship between confidence intervals and two-tailed hypothesis tests? The answer is yes. Let c be the level of confidence used to construct a confidence interval from sample data. Let * be the level of significance for a two-tailed hypothesis test. The following statement applies to hypothesis tests of the mean:
For a two-tailed hypothesis test with level of significance a and null hypothesis $$H_{0} : \mu = k$$ we reject Ho whenever k falls outside the $$c = 1 — \alpha$$ confidence interval for $$\mu$$ based on the sample data. When A falls within the $$c = 1 — \alpha$$ confidence interval. we do reject $$H_{0}$$.
For a one-tailed hypothesis test with level of significance Ho : $$\mu = k$$ and null hypothesiswe reject Ho whenever A falls outsidethe $$c = 1 — 2\alpha$$ confidence interval for p based on the sample data. When A falls within the $$c = 1 — 2\alpha$$ confidence interval, we do not reject $$H_{0}$$.
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(a) Consider the hypotheses $$H_{0} : \mu_{1} — \mu_{2} = O\ and\ H_{1} : \mu_{1} — \mu_{2} \neq$$ Suppose a 95% confidence interval for $$\mu_{1} — \mu_{2}$$ contains only positive numbers. Should you reject the null hypothesis when $$\alpha = 0.05$$? Why or why not?
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(c) Would you be surprised if a randomly selected sample of this type of soil has a bulkdensity in excess of $$\displaystyle{2.0}\frac{{g}}{{c}}{m}^{{3}}$$? Explain, based on theprobability of this occurring.
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