Question

In: Statistics and Probability

Ten years ago, a random sample of 257 dog owners was taken and it was found...

Ten years ago, a random sample of 257 dog owners was taken and it was found that 146 owned more than one dog. Recently, a random sample of 380 dog owners showed that 200 owned more than one dog. Do these data indicate that the proportion of dog owners owning more than one dog has decreased? Use a 5% level of significance.

  1. State the null and alternate hypotheses. Is the test left-tailed, right-tailed, or two- tailed?

  2. Identify the appropriate sampling distribution: the standard normal or the Student’s t. What is the value of the sample test statistic?

  3. Find or estimate the P-value.

  4. Based on your answers for parts (a) through (c), will you reject or fail to reject the null hypothesis?

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