Solving Hypothesis Testing Problems

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1. Examine the given statement:
The proportion of people aged 18-25 who currently use illicit drugs is equal to 0.20 (or 20%).
Now, express the null hypothesis H0 and alternative hypothesis H1 in symbolic form. Be sure to use the correct symbols µ, p, and for the indicated parameter.
2. Refer to the following data:
Two-tailed test; 0.10
Assume that the normal distribution applies and finds the critical z values.
3. Use the given information below to find the P-value.
The test statistic is the right-tailed test is z=2.50.
Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).
4. Test the given claim below:
A simple random sample of 50 adults is obtained, and each person’s red blood cell count (in cells per micro-liter) is measured. The sample mean is 5.23. The population standard deviation for red blood cell counts is 0.54. Use a 0.01 significance level to test the claim that the sample is from a population with a mean less than 5.4, which is a value often used for the upper limit of the range of normal values. What do the results suggest about the sample group?

Identify the null hypothesis, alternative hypothesis, test statistic, P-value or critical value(s), a conclusion about the null hypothesis, and the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise.

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