A poll of 1101 Americans showed that 47% 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. Ho: P = 0.5 0.5 H₁: p< (Type integers or decimals. Do not round.) Identify the test statistic. z=-1.99 (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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A poll of 1101 Americans showed that 47% 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.
Ho: P
=
0.5
0.5
H₁: p<
(Type integers or decimals. Do not round.)
Identify the test statistic.
z=-1.99
(Round to two decimal places as needed.)
Identify the P-value.
P-value=
(Round to three decimal places as needed.).
Transcribed Image Text:A poll of 1101 Americans showed that 47% 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. Ho: P = 0.5 0.5 H₁: p< (Type integers or decimals. Do not round.) Identify the test statistic. z=-1.99 (Round to two decimal places as needed.) Identify the P-value. P-value= (Round to three decimal places as needed.).
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