Explanation Calculation: The data represents the record high and low for the span years of 1871-2013. Assumptions for performing a hypothesis test for a population proportion: The samples taken from the population are simple random samples. The population is at least 20 times as large as the sample. The samples in the population are divided into two categories. The values of n p ^ 0 and n q ^ 0 should be greater than or equal to 10. Requirement check: The sample of 52 is assumed to be simple random samples. There have been millions of years since the beginning of time. Out of these, only 143 years are considered. Evidently, the population size is more than 20 times as large as the sample. The samples in the population seemed to be categorized into two parts. That is, temperature that record high and temperatures that record low. Verify the condition: n p ^ 0 ≥ 10 and n q ^ 0 ≥ 10 Here, p ^ 0 = 39 52 = 0.75 Substitute n as 52 and p ^ 0 as 0.75, n p ^ 0 = 52 ( 0.75 ) = 39 > 10 Substitute n as 52 and q ^ 0 as 0.25 ( = 1 − p ^ 0 ) , n q ^ 0 = 52 ( 0.25 ) = 13 > 10 Therefore, all the conditions are satisfied

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ISBN: 9781266836428

Author: Navidi

Publisher: MCG

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Ch. 8.1 - Check Your Understanding 1. Last year, the mean...Ch. 8.1 - Prob. 2CYU Ch. 8.1 - Prob. 3CYU Ch. 8.1 - Prob. 4CYU Ch. 8.1 - Prob. 5CYU Ch. 8.1 - Prob. 6CYU Ch. 8.1 - Prob. 7E Ch. 8.1 - Prob. 8E Ch. 8.1 - Prob. 9E Ch. 8.1 - In Exercises 9–12, determine whether the statement...

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