In a Leichtman Research Group survey of 1000 TV households, 74.5% 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 82%. Test that claim using a 0.05 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. the null hypothesis. There ▼sufficient evidence to Internet-connected TV device is equal to 82%. the claim that the percentage of all homes with at least one

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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In a Leichtman Research Group survey of 1000 TV households, 74.5% 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 82%. Test that claim using a 0.05 significance level. Use the P-value method. Use the normal distribution as an approximation to the binomial distribution.

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Let \( p \) denote the population proportion of all homes with at least one Internet-connected TV device. Identify the null and alternative hypotheses.

- \( H_0: p \) [dropdown] [box]
- \( H_1: p \) [dropdown] [box]  
  *(Type integers or decimals. Do not round.)*

Identify the test statistic.

- \( z = \) [box]  
  *(Round to two decimal places as needed.)*

Identify the P-value.

- P-value = [box]  
  *(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.

- [dropdown] the null hypothesis. There [dropdown] sufficient evidence to [dropdown] the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 82%.
Transcribed Image Text:In a Leichtman Research Group survey of 1000 TV households, 74.5% 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 82%. Test that claim using a 0.05 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. - \( H_0: p \) [dropdown] [box] - \( H_1: p \) [dropdown] [box] *(Type integers or decimals. Do not round.)* Identify the test statistic. - \( z = \) [box] *(Round to two decimal places as needed.)* Identify the P-value. - P-value = [box] *(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. - [dropdown] the null hypothesis. There [dropdown] sufficient evidence to [dropdown] the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 82%.
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