A poll of 1160 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. Ho p = 0.5 H₁ p<0.5 (Type integers or decimals. Do not round.) Identify the test statistic. z = -2.21 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.016 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Reject the null hypothesis. There is sufficient evidence to half of Americans prefer to watch the news rather than read or listen to it. support the claim that fewer than

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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A poll of 1160 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.
Transcribed Image Text:A poll of 1160 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.
Ho p = 0.5
H₁ p<0.5
(Type integers or decimals. Do not round.)
Identify the test statistic.
z = -2.21
(Round to two decimal places as needed.)
Identify the P-value.
P-value = 0.016
(Round to three decimal places as needed.)
State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim.
Reject
the null hypothesis. There is sufficient evidence to
half of Americans prefer to watch the news rather than read or listen to it.
support
the claim that fewer than
Transcribed Image Text: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. Ho p = 0.5 H₁ p<0.5 (Type integers or decimals. Do not round.) Identify the test statistic. z = -2.21 (Round to two decimal places as needed.) Identify the P-value. P-value = 0.016 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Reject the null hypothesis. There is sufficient evidence to half of Americans prefer to watch the news rather than read or listen to it. support the claim that fewer than
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