APPA reports that 67% of American households have at least one pet. A random sample of 50 Utah households found that 29 had at least one pet. Use a 5% level of significance to test if the proportion of households in Utah that have a pet is lower than the claimed 67%.

Include:

• Requirement check
• Correct test type (one sample z, one-sample t, one proportion z, two proportion z)
• Null and alternative hypotheses
• Test statistic and p-value
• Conclusion in the context of the problem