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Statistical Tests for Rejection of the Null Hypothesis

   

Added on  2021-05-31

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Case study scenariosIntroductionStatistical tests are worthwhile in life in confirming the already existing belief as stated in the alternative hypothesis. The aim of carrying out the statistical tests have been with the aim of rejecting the null hypothesis Curtis, Bond, Spina, Ahluwalia, Alexander, Giembycz & Lawrence,(2015). Various statistical tests exist but the choice of what to use depends on the number of elements in a sample and what is to be tested Shamseer, Moher, Clarke, Ghersi, Liberati, Petticrew & Stewart, (2015). In practical activities like in the scenarios provided for the determination of the winner in the 2000 US polls between the republican and democrat candidates and the determination the profitability of the plans in the organizations calls for statistical hypothesis test input. The inferential statistics that will be used in the two scenarios will be one sample t-test and one sample z-test in drawing the conclusion and making informed decisions that will benefit the business. Case 1 hypothesis testingH0: Republican and democrat candidates had same chances of winning the 2000 states electionH1: Republican and democrats candidates had no same chances of winning 2000 states elections
Statistical Tests for Rejection of the Null Hypothesis_1

t-Test: One-Sample VotesMean382.5Variance1200.5Observations2Hypothesized Mean0df1t Stat15.61224P(T<=t) one-tail0.020361t Critical one-tail3.077684P(T<=t) two-tail0.040721t Critical two-tail6.313752Critical value at α = 0.10Reject null hypothesis H0 if t>3.077684Test statistic t = 15.61224p-valuep-value = 0.020361DecisionSince t = 15.61224 > 3.078 we reject the null hypothesis that the Republican and democrat candidates had same chances of winning the 2000 states election and conclude that basing on the sample exit polls conducted in state of Florida taking a sample of 765 voters, there were enough evidence to support the claim that the Republican and Democrats candidates had no same chances of winning 2000 states elections. As a result therefore, if the polls were what to go by, the network would announce the Republican candidate the winner immediately after the closure of the polls stations (i.e. 8:01 PM).Case 2 hypothesis testingH0: μ => 24H1: μ < 24
Statistical Tests for Rejection of the Null Hypothesis_2

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