CH9notes.pdf - CH9 Wednesday 4:15 PM for an alternative hypothesis of Ha u > uo we might possibly reject the null hypothesis if the sample mean is

# CH9notes.pdf - CH9 Wednesday 4:15 PM for an alternative...

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for an alternative hypothesis of Ha: u > uo, we might possibly reject the null hypothesis if the sample mean is greater than uo suppose you are performing a hypothesis test on u and the value of ó is known. At the 5% significance level, the critical value(s) for a two tailed test is (are) -z0.025 and z 0.025 the two equivalent methods to solve a hypothesis test are the critical value approach p-value approach in inferential stats, we use ____ information to make inferences about an unknown ____ parameter sample, population when testing u, the p-value is the probability of obtaining a sample mean at least as large or at least as small as the one derived from a given sample, assuming the ___ hypothesis is true Null we do not reject the null hypothesis when the p-value is >= a for a hypothesis test of u when ó is known, the value of the test statistic is calculated as z = (x- - uo)/ (ó/sqrt n ) put the following steps in the p-value approach to hypothesis testing in the correct order. specify the null and alternative hypothesis specify the significance level calculate the value of the test statistic and its p-value state the conclusion and interpret results a quality control officer believes that the average time of use for AAA batteries differs from the claimed 8.5 hours. The QC take a random sample of 30 AAA batteries and finds that the sample mean is 8.7 hours. State the null and alt hypothesis for testing the claim Ho: u = 8.5 Ha: u not equal 8.5 a type 1 error is commonly denoted as a (alpha) we choose a value for a before conducting a hypothesis test True an important final conclusion to a statistical test is to clearly interpret the results in terms of the initial claim The basic principle of hypothesis testing is to first assume that the ____ hypothesis is true and then determine if the sample data ___ this assumption Null, contradicts if the population standard deviation is unknown, it can be estimated by using S in hypothesis testing, two incorrect decisions are possible Not rejecting the null hypothesis when it is false Rejecting the null hypothesis when it is true a 95% confidence interval for the mean value of a store's customer accounts is computer as \$850 +- 70, then the null 780, 920 CH9 Wednesday, March 27, 2019 4:15 PM STATS Page 1
customer accounts is computer as \$850 +- 70, then the null hypothesis of a two tailed hypothesis test would be rejected if the value of uo is less than \$____ or greater than \$____ the critical value approach specifies a region of values, called the ___. If a test statistic falls into this region, we reject the ___ rejection region, null hypothesis the alternative hypothesis for a two sided test for a population mean would be denoted as Ha: u =/ (not equal) uo the alternative hypothesis contests the status quo for which a corrective action may be required in hypothesis testing, two correct decisions are possible rejecting the null hypothesis when it is false not rejecting the null when it is true we can reject the null when the p-value < a when testing u and ó is known, Ho can never be rejected if z <= 0 for a right tailed test

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• Fall '19
• Statistics, Statistical hypothesis testing