According to the LA Times, "In an annual survey of more than 500 beaches, Heal the Bay reported ...that 92% of the state's (California) beaches had logged good water-quality marks between April and Octo-ber of 2019". (https://www.latimes.com/california/story/2020-06-30/california-beach-report-card).We want to know if measures to increase the beach water quality in California that have been put inplace since 2019 are working, that is, if the percentage of beaches with good water-quality marks hasincreased since 2019. Let p be the true proportion of beaches that deserve good-quality water marksthis year. To test if the measures of beach improvement are working, you want to see if more than 92%of beaches get good marks at an a = 0.05 level.A sample of 368 beaches is taken in January 2022 and of these beaches 347 logged a good water-qualityrating.(a) Set up the null and alternative hypothesis (using mathematical notation/numbers AND interpretthem in context of the problem).(b) Calculate the test statistic.(c) Calculate the critical value.(d) Draw a picture of the distribution of the test statistic under Ho. Label and provide values for thecritical value and the test statistic, and shade the critical region. (e) Make and justify a statistical decision at the a = 0.05 level and state your conclusions in contextof the problem.(f) If we increased the sample size to be very large (>1000) but kept the sample proportion the samehow (if at all) would you expect your decision of this hypothesis test to change?

Since we only do up to three sub parts of a problem, we'll be doing the first three sub parts only.…

Answered: According to the LA Times, "In an…

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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