### Hypothesis Testing for Proportion of Internet-Connected TV DevicesIn a Leichtman Research Group survey of 850 TV households, 75.1% had at least one Internet-connected TV device (e.g., Smart TV, standalone streaming device, connected video game console). A marketing executive claims the percentage of all homes with at least one Internet-connected TV device is 78%. This claim is tested using a 0.01 significance level. The normal distribution is used as an approximation to the binomial distribution, and the P-value method is applied.---**Steps for Hypothesis Testing**#### Step 1: Define Hypotheses- Let $ p $ denote the population proportion of homes with at least one Internet-connected TV device.- **Null Hypothesis ($ H_0 $)**: $ p = 0.78 $- **Alternative Hypothesis ($ H_1 $)**: $ p \neq 0.78 $#### Step 2: Identify the Test Statistic- Calculate the test statistic: $ z $ \[ \text{(Round to two decimal places as needed.)} \]#### Step 3: Calculate the P-value- Determine the P-value associated with the test statistic. \[ \text{(Round to three decimal places as needed.)} \]#### Step 4: Conclusion- State the conclusion regarding the null hypothesis: \[ \text{[Reject/Fail to reject]} \quad \text{the null hypothesis.} \] - There is [sufficient/insufficient] evidence to [support/refute] the claim that the percentage of all homes with at least one Internet-connected TV device is equal to 78%.### Notes- When evaluating the claim, a significant difference from 78% would lead to the rejection of the null hypothesis at a 0.01 significance level, indicating sufficient evidence against the claim.This educational content guides through the process of hypothesis testing for proportions using survey data about Internet-connected TV devices.

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Answered: In a Leichtman Research Group survey of…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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