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In 2010, a random sample of 250 dog owners was taken and it was found that...

In 2010, a random sample of 250 dog owners was taken and it was found that 140 owned more than one dog. Recently, a random sample of 400 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, and p1= proportion of dog owners who owned more than one dog in 2010. If you conduct hypothesis testing, you have to consider:

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Answer #1

The hypotheses are

The test statistic

Here ,  .  

The test statistic is less than critical value . (This is right tailed Z-test).

So the null hypothesis is retained. There is no sufficient evidence from the data to indicate that the proportion of dog owners owning more than one dog has decreased.

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