## Related questions with answers

In an article in the *Journal of Advertising*, Weinberger and Spotts compare the use of humor in television ads in the United States and in the United Kingdom. Suppose that independent random samples of television ads are taken in the two countries. A random sample of $400$ television ads in the United Kingdom reveals that $142$ use humor, while a random sample of $500$ television ads in the United States reveals that $122$ use humor.

Set up the hypotheses needed to attempt to establish that the difference between the proportions of U.K. and U.S. ads using humor is more than $.05$ (five percentage points). Test these hypotheses by using a $p$-value and by setting $\alpha$ equal to $.10$, $.05$, $.01$, and $.001$. How much evidence is there that the difference between the proportions exceeds $.05?$

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