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Hypothesis testing Assignment PDF

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Added on  2021-06-17

Hypothesis testing Assignment PDF

   Added on 2021-06-17

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Assignment SolutionHypothesis OneHere, we have to use the testing of hypothesis for checking given two research hypotheses. First we have to check whether there is any significant unemployment reduction in small scale industries in Nigeria or not. If more than 50% responses for this question are positive, then we can say that there is a significant reduction in the unemployment. This means, we have to check whether the population proportion is more than 50% or not. For checking this claim or hypothesis, we have to use z test for population proportion. The null and alternative hypothesis for this test is given as below:Null hypothesis: H0: There is no any significant reduction in unemployment in small scale industries in the Nigeria. Alternative hypothesis: Ha: There is a significant reduction in unemployment in small scale industries in the Nigeria. H0: p = 0.5 vs. Ha: p > 0.5 (one-tailed, upper or right tailed)We consider level of significance or α = 0.05. We are given the following information:ResponsesFrequencyPercentage %Yes 29387No4413Total337100Sample size = n = 337Number of positive responses = X = 293Sample proportion = P = 0.869436202Population proportion = p = 0.5Upper critical value = 1.6449 (by using z-table)Test statistic = Z = (P – p)/sqrt(pq/n)Z = (0.869436202 – 0.5)/sqrt(0.5*0.5/293)1 | Page
Hypothesis testing Assignment PDF_1
Z = (0.869436202 – 0.5)/0.0272Z = 13.5639P-value = 0.00 P-value < α = 0.05. So, we reject the null hypothesis that there is no any significant reduction in unemployment in small scale industries in the Nigeria. There is sufficient evidence to conclude that there is a significant reduction in unemployment in small scale industries in the Nigeria. Hypothesis TwoHere, we have to test another hypothesis by using the same test as above. Null hypothesis: H0: Government has no key role to play in ensuring that small scale industries help in quelling unemployment. Alternative hypothesis: Ha: Government has a key role to play in ensuring that small scale industries help in quelling unemployment. H0: p = 0.5 vs. Ha: p > 0.5 (one-tailed, upper or right tailed)We consider level of significance or α = 0.05. We are given the following information:ResponsesFrequencyPercentage %Yes 28585No5215Total337100Sample size = n = 337Number of positive responses = X = 285Sample proportion = P = 0.845697329Population proportion = p = 0.5Upper critical value = 1.6449 (by using z-table)2 | Page
Hypothesis testing Assignment PDF_2

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