1. In a survey conducted by a website, employers were asked if they had ever sent an employee home because they were dressed inappropriately. A total of 1000 people were polled saying that 450 had sent an employee home early for inappropriate attire. In a claim on the website, it states that more than one-third of employers have sent an employee home. Is there enough evidence to support this claim with $alpha$=0.01? (a) State the null and alternative hypothesis. (b) Calculate the test statistic. (c) Find the P-value. (d) State your full conclusion. (e) Construct and interpret a 95% confidence interval to estimate the population characteristic. (f) Describe a Type I error in the context of this question. What is the probability of a Type I error with this testing method?
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The alternative hypothesis (H1) is that the proportion is greater than one-third. H0: p = 1/3 H1: p > 1/3 Show more…
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Adi S.
Q1: At the University of California, a sample of 200 undergraduate students shows that 75 live away from home, and a sample of 150 graduate students shows that 93 live away from home. Is the proportion of undergraduate students who live away from home is less than the proportion of graduate students who live away from home? a) State your null and alternative hypotheses b) Calculate the value of the test statistic c) Calculate the p-value for the test statistic in b) d) Set up the rejection region for the test using a 1% significance level e) Use the critical value approach or p-value to draw a conclusion at the 1% significance level.
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