Question

The owner of a small pet supply store wants to open a second store in another city but he only wants to do so if more than 1/3 of the cities’s households have pets he samples 150 of the household and find at 64 have pets used technology to create a randomization distribution with at least 1000 values for testing these hypothesis. use your randomization distribution to estimate the value for the sample.

Answer 1

To test whether more than 1/3 of the city's households have pets, conduct a hypothesis test using the sample data. Create a randomization distribution and compare the observed proportion to determine if it's unlikely under the null hypothesis.

Step-by-step explanation:

To test whether more than 1/3 of the city's households have pets, we can conduct a hypothesis test using the sample data. Let's define the null hypothesis (H0) as the proportion of households with pets being less than or equal to 1/3 and the alternative hypothesis (Ha) as the proportion being greater than 1/3.

Next, we can create a randomization distribution by randomly shuffling the 150 household data and calculating the proportion with pets in each iteration. We repeat this process for at least 1000 values to create a distribution under the assumption that H0 is true.

Finally, we compare the observed sample proportion of 64 households with pets to the randomization distribution. If the observed proportion is unlikely to occur under the null hypothesis, we reject H0 and conclude that more than 1/3 of the city's households have pets.