A random sample of 43 subjects who identified themselves as compulsive buyers was obtained and given a questionnaire. They had a mean questionnaire score of 0.55 and the standard deviation of all scores was 0.13. Test the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.55 for the general population. Use a 0.05 significance level. State the null and alternative hypotheses. A. H0: ? = 0.55 Ha: ? < 0.55 B. H0: ? = 0.55 Ha: ? > 0.55 C. H0: ? ? 0.55 Ha: ? = 0.55 D. H0: ? = 0.55 Ha: ? ? 0.55 Find the z-score. z = (Round to two decimal places as needed.) Find the P-value. The P-value is (Round to four decimal places as needed.) State the conclusion. A. The P-value is greater than the significance level. There is not sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.55 for the general population. B. The P-value is greater than the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.55 for the general population. C. The P-value is less than or equal to the significance level. There is sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.55 for the general population. D. The P-value is less than or equal to the significance level. There is not sufficient evidence to support the claim that the population of self-identified compulsive buyers has a mean greater than the mean of 0.55 for the general population.
Added by Karen C.
Close
Step 1
H0: μ = 55 Alternative hypothesis (H1): The mean score for the population of self-identified compulsive buyers is greater than 55. H1: μ > 55 Now, let's find the Z-score. We have a sample mean (x̄) of 55, a population mean (μ) of 55, a standard deviation (σ) of Show more…
Show all steps
Your feedback will help us improve your experience
Madhur L and 80 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Sri K.
A real estate company is analyzing the selling prices of residential homes in a given community. 140 homes that have been sold in the past month are randomly selected and their selling prices are recorded. The statistician working on the project has stated that in order to perform various statistical tests, the data must be distributed according to a normal distribution. In order to determine whether the selling prices of homes included in the random sample are normally distributed, the statistician divides the data into 6 classes of equal size and records the number of observations in each class. She then performs a chi-square goodness-of-fit test for normal distribution. The results are summarized in the following table. Goodness-of-Fit Test Observed | Expected | O-E | (O-E)²/E | % of chi-square 10 | 3.192 | 6.808 | 14.520 | 64.81 23 | 19.026 | 3.974 | 0.830 | 3.70 37 | 47.782 | -10.782 | 2.433 | 10.86 40 | 47.782 | -7.782 | 1.267 | 5.66 27 | 19.026 | 7.974 | 3.342 | 14.92 3 | 3.192 | -0.192 | 0.012 | 0.05 140 | 140.000 | 0.000 | 22.404 | 100.00 22.40 | chi-square .0001 | p-value What is the appropriate null hypothesis? Ho: The residential home selling prices are distributed according to a normal distribution. Ho: The residential home selling prices are not distributed according to a normal distribution. Ho: The distribution of residential home selling prices is either right or left skewed. Ho: The distribution of the residential home selling prices is symmetric. None of the other answers is correct.
Madhur L.
The purpose of a confidence interval is to ________. For an independent-measures research study, the value of Cohen's d or r² helps to describe ________. 19. A researcher reports t(24) = 5.30 for an independent-measures experiment. How many individuals participated in the entire experiment? 20. Each student at a school has a student identification number. Counselors have a computer generate 50 random identification numbers and those students are asked to take a survey. What type of sampling is this? 21. A researcher expects a treatment to produce an increase in the population mean. The treatment is evaluated using a one tailed hypothesis test, and the test produces z = -1.85. Based on this result, what is the correct statistical decision? 22. When a random sample is selected from a population, the sample mean is not expected to be exactly equal to the population mean. On average, the size of the difference between the sample mean and the population mean is predicted by ________. 23. In what circumstances is the t statistic used instead of a z-score for a hypothesis test?
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD