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# Testing of hypothesis - proportion

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5 step procedure of testing of hypothesis

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## Hypothesis testing: chi square and z-stat. At the .05 level of significance, test the claim that at least half of all voters prefer the democratic candidate. Test the claim that the proportion with the lawn mowers is higher than 65%. Use a .01 significance level to test the claim that for men without college degrees in that town, incomes have a higher standard deviation when a random sample of 22 men resulted in incomes with a standard deviation of 925\$

1. A poll of 1,068 Americans reveals that 48% of the voters surveyed prefer the Democratic candidate for president. At the .05 level of significance, test the claim that at least half of all voters prefer the democratic candidate.

2. A nationwide study of American homeowners revealed that 65% have one or more lawn mowers. A lawn equipment manufacturer fells the estimate is too low for households in Omaha. Among 497 randomly selected homes in Omaha, 340 had one or more lawn mowers. Test the claim that the proportion with the lawn mowers is higher than 65%.

3. In one town monthly incomes for men without college degrees are found to have a standard deviation of 650\$. Use a .01 significance level to test the claim that for men without college degrees in that town, incomes have a higher standard deviation when a random sample of 22 men resulted in incomes with a standard deviation of 925\$

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