STATISTICS AND PROBABILITY- TESTING HYPOTHESIS INVOLVING POPULATION PROPORTION (FIRST AND SECOND STEP)

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DIRECTIONS: Formulate the null and alternative hypotheses and give the level of significance, test statistic, type of test (one - tailed or two - tailed test) and critical value for each of the following problem. Use another sheet of short bond paper for the solution and final answer. 1. The CEO of a large electric utility claims that 80 percent of his 1,000,000 customers are very satisfied with the service they receive. To test this claim, the local newspaper surveyed 100 customers, using simple random sampling. Among the sampled customers, 73 percent say they are very satisfied. Based on these findings, can we reject the CEO's hypothesis that 80% of the customers are very satisfied? Use a 0.05 level of significance. 2. The NFL believes the chance of Patriots winning the coin toss in greater than 50%. Ina random sample of 200 coin tosses, the patriots won 118 times. Is there enough evidence to suggest the Patriots are cheaters? Use a = 0.05. 3. The Statistical Abstract reported that 18% of adults in the Philippines attended a musical play in the past year. To test this claim, a researcher surveyed 90 adults and found that 22 had attended a musical play in the past year. At the 0.05 significance level, test the claim that this figure is correct