Use the following scenario to conduct a hypothesis test. You will again go through the different steps that you initially learned about last week. As usual, you will need access to Table B so you can figure out the P-value in order to reach an appropriate conclusion. Are you a dog owner? It has been claimed that the proportion of households in the United States that own at least one dog is 0.58. A veterinary researcher has some reason to doubt this claim. She does not know if the true proportion of households that own a dog is larger than or smaller than 0.58; she just thinks the true proportion is different from 0.58. To test her theory, she surveys a random sample of 682 households and finds that 364 of these households report owning a dog. Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05. What is the P-value? Be sure to refer to Table B to find this value, and don’t forget to report the value as a probability!
Use the following scenario to conduct a hypothesis test. You will again go through the different steps that you initially learned about last week. As usual, you will need access to Table B so you can figure out the P-value in order to reach an appropriate conclusion.
Are you a dog owner? It has been claimed that the proportion of households in the United States that own at least one dog is 0.58. A veterinary researcher has some reason to doubt this claim. She does not know if the true proportion of households that own a dog is larger than or smaller than 0.58; she just thinks the true proportion is different from 0.58. To test her theory, she surveys a random sample of 682 households and finds that 364 of these households report owning a dog. Use this information to conduct a hypothesis test at a significance (or alpha) level of 0.05.
- What is the P-value? Be sure to refer to Table B to find this value, and don’t forget to report the value as a probability!
We’ve talked a lot about the conclusions you should reach when conducting a hypothesis test. In particular, we’ve said that if your P-value is equal to or smaller than the significance level, you have evidence against the null hypothesis in favor of the alternative hypothesis. Another thing we can say, if our P-value is less than or equal to the significance level, is that we reject the null hypothesis. If the P-value is larger than the significance level, we do not have evidence against the null hypothesis. We can say in that case that we do not reject the null hypothesis, or we fail to reject the null hypothesis.
- Given the P-value you obtained in your answer to Question 4, will you reject the null hypothesis, or will you fail to reject the null hypothesis? Please explain the reason for your conclusion.
- Are the results of this hypothesis test statistically significant? Please explain why or why not.
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