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

Question
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.

### Relevant Questions asked 2021-01-31
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For each problem below, simply identify the null and alternative hypotheses. Use appropriate notation/symbols. You do not have to run any hypothesis tests, although it's good practice and I'll post answers for all of them.
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For each problem below, simply identify the null and alternative hypotheses. Use appropriate notation/symbols. You do not have to run any hypothesis tests, although it's good practice and I'll post answers for all of them.
1) A simple random sample of 44 men from a normally distributed population results in a standard deviation of 10.7 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of men have a standard deviation equal to 10 beats per minute.
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A company is marketing a new product they say works better than the traditional test tube. There is so much interest in the product that 30 different labs around the world are testing the claim that this product is actually better. If each study uses an alpha level (alpha) of .10, and if the null hypothesis is true (that the test tube isn't any better that the traditional one), how many of the hypothesis tests would we expect to incorrectly find statistical significance (that is, conclude that the new test tube is better, when it actually isn't)? asked 2020-12-24
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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:
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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.
(d) What point has the property that only 10% of the soil samples have bulk density this high orhigher?
(e) What is the moment generating function for X?
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