The proportion of people that own cats is 20%. A veterinarian believes that this proportion is smaller than 20% and surveys 500 people. Test the veterinarian's claim at the α=0.05 significance level. Based on the sample of 500 people, 14% owned cats. Calculate the test statistic. Round to two decimal places. z=   Calculate the pp -value. Round to four decimal places. Make a decision. Fail to reject the null hypothesis Reject the null hypothesis Make a conclusion. There is sufficient evidence that the proportion of people who own cats is smaller. There is not sufficient evidence that the proportion of people who own cats is smaller.

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