Use the following to answer the questions below:
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 one-third of the city's households have pets (otherwise there won't be enough business) . He samples 150 of the households and finds that 64 have pets.
-Use the provided randomization distribution (based on 100 samples) to estimate the p-value for this sample. Use your p-value and a 5% significance level to make a decision about these hypotheses. Be sure to word your decision in the context of the problem.
A) This sample provides strong evidence to reject the null hypothesis and conclude that more than 1/3 of households in this city own pets.
B) This sample does not provide enough evidence to reject the null hypothesis and we can not conclude that more than 1/3 of households in this city own pets.
Correct Answer:
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