In a Leichtman Research Group survey of 850 TV households, 75.1% of them had at least one Internet-connected TV device (for example, Smart TV, standalone streaming device, connected video game console). A marketing executive wants to convey high penetration of Internet-connected TV devices, so he makes the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 78%. Test that claim using a 0.01 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses. Ho: P H₁: p ▼ (Type integers or decimals. Do not round.) Identify the test statistic. Z= (Round to two decimal places as needed.) Identify the P-value. P-value= (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. sufficient evidence to the null hypothesis. There one Internet-connected TV device is equal to 78%. the claim that the percentage of all homes with at least

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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In a Leichtman Research Group survey of 850 TV households, 75.1% of them had at least one Internet-connected TV device (for example, Smart TV,
standalone streaming device, connected video game console). A marketing executive wants to convey high penetration of Internet-connected TV devices, so
he makes the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 78%. Test that claim using a 0.01 significance
level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.
Let p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses.
Ho: P
H₁: p
(Type integers or decimals. Do not round.)
Identify the test statistic.
2=0
(Round to two decimal places as needed.)
Identify the P-value.
P-value=
(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.
sufficient evidence to
the null hypothesis. There
one Internet-connected TV device is equal to 78%.
the claim that the percentage of all homes with at least
Transcribed Image Text:In a Leichtman Research Group survey of 850 TV households, 75.1% of them had at least one Internet-connected TV device (for example, Smart TV, standalone streaming device, connected video game console). A marketing executive wants to convey high penetration of Internet-connected TV devices, so he makes the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 78%. Test that claim using a 0.01 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses. Ho: P H₁: p (Type integers or decimals. Do not round.) Identify the test statistic. 2=0 (Round to two decimal places as needed.) Identify the P-value. P-value= (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. sufficient evidence to the null hypothesis. There one Internet-connected TV device is equal to 78%. the claim that the percentage of all homes with at least
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