Concept explainers
For Exercises 1 through 25, perform each of the following steps.
a. State the hypotheses and identify the claim.
b. Find the critical value(s).
c. Compute the test value.
d. Make the decision.
e. Summarize the results.
Use diagrams to show the critical region (or regions), and use the traditional method of hypothesis testing unless otherwise specified.
4. Moviegoers The average “moviegoer” sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 40 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The population standard deviation is 3.2 movies. At the 0.05 level of significance, can it be concluded that this represents a difference from the national average?
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Elementary Statistics: A Step By Step Approach
- Follow the steps in testing hypothesis to answer the problem:arrow_forwardBrown wants to conduct an assessment of where employees live and how employees work. Brown wanted to know if where you lived was related to how you worked. What hypothesis tests can be used in this case?arrow_forwardA dental assistant is interested in the proportion of patients that need a root canal. Let the proportion of patients that need a root canal be p. If the dental assistant wanted to know if the proportion of patients that need a root canal is more than 20%, what are the null and alternative hypotheses? Select the correct answer below: H0: p=0.20; Ha: p<0.20 H0: p>0.20; Ha: p=0.20 H0: p=0.20; Ha: p>0.20 H0: μ=0.20; Ha: μ>0.20arrow_forward
- Use the five steps in the hypothesis testing procedure for each answer. 1 ) A national publishing house claims that 45% of all weekly magazine readers in South Africa read their publication. Test this claim at the 5% significance level, if a survey found that 205 out of a random sample of 500 magazine readers said that they read the relevant publication.arrow_forwardWrite the following five steps of hypothesis test: 1. Set a set of hypotheses 2. Determine rejection rule with a given a (Fa). 3. Compute test statistic (F-Value) 4. Make judgment 5. Interpretation with p-value Utilize excel output to conduct your answers.arrow_forwardYou are working for the South Tahoe Tourist Bureau and are interested in determining if there is a relationship between the casino people frequent and the type of gambling that they do at the casino Table Games Slots Sports Harrah’s 50 60 12 Hard Rock 18 22 6 MontBleu 33 29 20 Harvey’s 41 39 20 a. State the null and alternative hypotheses. b. State which hypothesis test should be used. Calculate the p-Value and state the command you entered in the calculator. c. State the conclusion in the context of the problem.arrow_forward
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- Solve the problems by following the steps and procedures in hypothesis testing. PRACTICE QUESTIONarrow_forwardFill in the table with the correct answers. Specify the (a) hypotheses, (b) appropriate test statistic, (c) rejection region, (d) identify if CLT is applicable or not in the following situations.arrow_forwardMaria has two routes, E and W, she can take when commuting to work. Both routes go through a railroad crossing, and sometimes she needs to stop at the crossing to allow trains to pass. She claims that the proportion of times she needs to stop when taking route E is different from the proportion of times she needs to stop when taking route W. She conducted the following hypothesis test at the significance level of α=0.10. H0:pE=pWHa:pE≠pW In the hypotheses, pE represents the proportion of times she needs to stop at the crossing when using route E, and pWrepresents the proportion of times she needs to stop at the crossing when using route W. All conditions for inference were met, and the resulting p-value was 0.37. Which of the following is the correct decision for the test? The p-value is less than α, and the null hypothesis is rejected. There is convincing evidence to support the claim that the proportion of times she needs to stop at the crossing is different for the…arrow_forward
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