Question

please use a statkey randomization hypothesis test for a single proportion. select edit data to enter your count and sample size, then set the correct value for the null hypothesis.'based on a sample of 600 people, 252 owned a pet,the p-value is: (to 3 decimal

Answer 1

The p-value of 0.5485 indicates that there is not enough evidence to reject the null hypothesis that the proportion of people who own a pet is 0.5.

Step-by-step explanation:

The p-value is a measure of the strength of evidence against the null hypothesis. In this case, the null hypothesis is that the proportion of people who own a pet is 0.5. A p-value of 0.5485 means that if the null hypothesis is true, there is a 54.85% probability of observing a sample proportion of 0.53 or more OR 0.47 or less. Since the p-value is greater than 0.01, the commonly used significance level, we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that the proportion of people who own a pet is significantly different from 0.5 based on the given sample.

Answer 2

The p-value (0.002) is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is significant evidence to suggest that the proportion of people who own pets is different from 0.5 in the population.

To conduct a StatKey randomization hypothesis test for a single proportion, follow these steps:

Open StatKey: Access the StatKey online tool or software.

Select Data: Choose the "Randomization" option from the "Hypothesis Tests" menu.

Edit Data: Click the "Edit Data" button and enter the following information:

Count: 252

Sample Size: 600

Set Null Hypothesis: Click the "Choose Alternative Hypothesis" button and select "Two-tailed" from the options.

Null Hypothesis Value: Enter the null hypothesis value (p = 0.5) in the "Specify Proportion" field.

Run Test: Click the "Run Test" button to perform the randomization test.

Interpretation: Observe the randomization distribution and calculate the p-value:

The p-value is approximately 0.002.

Since the p-value (0.002) is less than the significance level (usually 0.05), we reject the null hypothesis and conclude that there is significant evidence to suggest that the proportion of people who own pets is different from 0.5 in the population.