### Hypothesis Testing Example: TV Network Audience InterestIn a recent Super Bowl, a TV network predicted that 48% of the audience would express an interest in seeing one of its forthcoming television shows. The network ran commercials for these shows during the Super Bowl. The day after the Super Bowl, an Advertising Group sampled 84 people who saw the commercials and found that 36 of them said they would watch one of the television shows.#### HypothesesSuppose you have the following null and alternative hypotheses for a test you are running:- \( H_0 \): \( p = 0.48 \)- \( H_a \): \( p < 0.48 \)#### TaskCalculate the test statistic, rounded to 3 decimal places.\[ z = \boxed{\text{ }} \]This example involves testing whether the proportion of viewers who expressed an interest is less than the predicted 48%, using a sample of those who saw the commercials. To derive the test statistic, apply the z-test for proportions using the given hypotheses and sample data.

Given data is n=84x=36p^=xn=3684=0.4286The null and alternative hypothesis isH0:p=0.48Ha:p<0.48

Answered: In a recent Super Bowl, a TV network…

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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