A poll of 1065 Americans showed that 47.2% of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.10 significance level to test the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.

Let p denote the population proportion of all Americans who prefer to watch the news rather than read or listen to it. Identify the null and alternative hypotheses.

H0: p

H1: p

Identify the test statistic.

Z

identify the p value.

P-value=

State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.

the null hypothesis. There

sufficient evidence to

the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it.