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Introduction to Hypothesis Testing
State the claim mathematically. Then write the null and alternative hypothesis. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
a. A research hospital claims that more than 3.7% of the population suffers from high blood pressure. Use p, the represent the population proportion.
Answer: Claim:
H0 :
Ha :
Test :
b. The highest acceptable level of pesticide found in quail has been limited to 0.35 parts per million (ppm). A hypothesis test is perform to test if the level of the pesticide is higher.
The number of runs with respect to the sample median is:
A die is rolled 60 times. An "ace" is the side with one dot. Use the normal approximation to estiate the chance of getting exactly 12 aces.
Assume that you choose a 50 families sample. Which is the form expected from the distribution of the average or median of the sample?
They would like the margin of error of the 95% confidence interval for the proportion to be 0.05 or less. Use the guessed value p = 0.25 to find the required sample size.
A DVD rental store wants to know what proportions of its customers are under age 21. A simple random sample of 500 customers was taken, and 375 of them were under age 21. Presume that the true population proportion of customers under age 21 is 0.6..
What is the value of c for which there is 80% probability that a metal plate has a thickness with in the interval [4.3-c, 4.3+c]?
Describe the steps for testing a hypothesis that people are more likely to keep watching a movie if they have already invested money to obtain the movie.
Recent studies have shown that the super-cooling temperature of terrestrial frogs frozen at -6°C has a relative frequency distribution with a mean of - 2°C and a standard deviation of 0.3°C (The first of these studies was reported in Science, May ..
A quality control inspector selects a part to be tested. The part is then declared acceptable, repairable, or scrapped. Then another part is tested. List the possible outcomes of this experiment regarding two parts.
Be able to conduct a one-tailed hypothesis test for the mean at the .025 significance level. State the null and alternative. State the critical value. Draw a diagram. Provide the computation of the test statistics. State your decision in terms of ..
Suppose X is a random variable with mean u and variance sigma2, Calculate the mean vector and variance matrix of the random vector Y = (X,2+3X)?
What is the minimum sample size required to assure that your sample proportion "p" will be within the required margin of error around the population proportion "p". Use the traditional methods for testing hypotheses and show the results of all ste..
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