Solve the following problems:
-Examine the given statement:
- The proportion of people aged 18-25 who currently use illicit drugs is equal to 0.20 (or 20%). Express the null hypothesis H0 and the alternative hypothesis H1 in symbolic form. Be sure to use the correct symbols - μ, p, and σ-for the indicated
parameter.
-Refer to the following data:
- Two-tailed test; 0.10
- Assume that the normal distribution applies and find the critical z values.
-Use the following information to find the P-value.
- The value of the test statistic for a right-tailed one mean z test is z = 2.50.
- 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.
-Test the claim: 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), conclusion about the null hypothesis, and the conclusion that addresses the original claim. Use the P-value method.