Math  /  Data & Statistics

QuestionPoints: 0 of 1
A poll of 1137 Americans showed that 46.8%46.8 \% of the respondents prefer to watch the news rather than read or listen to it. Use those results with a 0.05 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:pVH1:p7\begin{array}{l|l} \mathrm{H}_{0}: \mathrm{p} & \mathbf{V} \\ \mathrm{H}_{1}: \mathrm{p} & \mathbf{7} \\ \hline \end{array} (Type integers or decimals. Do not round.)

Studdy Solution
Compare the P-value to the significance level α=0.05 \alpha = 0.05 .
Since the P-value 0.0153 0.0153 is less than 0.05 0.05 , we reject the null hypothesis.
Conclusion: There is sufficient evidence to support the claim that fewer than half of Americans prefer to watch the news rather than read or listen to it.

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