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303The Null and the Alternate Hypothesis will be stated as follow Null hypothesis H0 P 0 50 Alternate hypothesis H1 P 0 50 This is a right tailed test due to be the right tailed one sample test for the proportion the Z test was conducted using the a 0 10 As sample size is greater than 30 we can use the z test to test the hypothesis significance level a 0 10 The critical value at a significance level of 0 10 is calculated to be 1 28 Therefore the critical region has an area greater than the critical value of 1 28 The decision is to test the statistic that falls into the critical region the null hypothesis will be rejected Z test statistic Critical value Z 0 10 1 28 this data was calculated by the Z test statistic Z lim y_ 0 5x 1 0 5 u 5 σ 5 0 50 1 7716 The test shows the result as the null being rejected at the 0 10 significance level Finally from what the results showed the announcement will be given at 8 01pm announcing the Republican candidate George Bush the winner over the Democratic Al Gore George Bush had a higher percentage of voters making him win the election for Florida SpeedX Currently the SpeedX case mean and standard deviation of the amount of time taken by customers of to pay their bills are 24 days and 6 days respectively the latest has been 30 days
This means that the rejection area will be left to the critical value As the null hypothesis can be rejected if test of statistic comes out to be less than the critical value As the sample size is greater than 30 we can use z test for hypothesis testing Considering a 0 10 significance level the rejection region is Z test statistic Critical value Z0 10 1 28 From the given data from the excel the Z test statistic 21 6318 21 0 6 22 O 0 9102 As we can see from the results the test statistic is not falling in the rejection region the null hypothesis should not be rejected at 0 10 significance level However my conclusion based on the result we just did and analyzed everything the data did not give us enough evidence that the plan would be profitable for them But they have reduced the days of payments they been receiving
