A researcher claims that more than 30% of US smartphone owners use their phones (shopping, social networking, etc)  while watching television.  In a simple random sample of 15 smartphone owners, 38% say that they use their phones while watching television.  At the alpha = 0.05 level, is there enough evidence to support the researchers claim?   Write the p-value of the test rounded to 4 decimal places, and the one sentence conclusion written like a statistician.

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.