3. In a test of Ho: u = 85 against Ha: u > 85, the sample data yield the sample statistic z = 1.64. I the p-value for the test.

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Carry out a test of hypothesis to draw conclusions in relation to each of the following problems.
1. Previous evidence show that majority of the students are happy and contented with the
university's policies. This year, a random sample of 100 students was drawn. They were asked if
they were happy and contented with the university's policies. Out of 100 students, 65 said so. What
conclusions could be made at 10% level of significance?
2. An independent research group is interested to show that the percentage of babies delivered
through Cesarian Section is decreasing. For the past years, 20% of the babies were delivered
through Cesarian Section. The research group randomly inspects the medical records of 144 births
and finds that 25 of the births were by Cesarian Section. Can the research group conclude that the
percent of births by Cesarian Section has decreased at 5% level of significance?
3. In a test of Ho: µ = 85 against Ha: u > 85, the sample data yield the sample statistic z = 1.64. Find
the p-value for the test.
4. In a test of Ho: u = 80 against Ha: u # 80, a sample of observations had a mean and standard
deviation s = 4.1. Find the p-value for the test.
Transcribed Image Text:Carry out a test of hypothesis to draw conclusions in relation to each of the following problems. 1. Previous evidence show that majority of the students are happy and contented with the university's policies. This year, a random sample of 100 students was drawn. They were asked if they were happy and contented with the university's policies. Out of 100 students, 65 said so. What conclusions could be made at 10% level of significance? 2. An independent research group is interested to show that the percentage of babies delivered through Cesarian Section is decreasing. For the past years, 20% of the babies were delivered through Cesarian Section. The research group randomly inspects the medical records of 144 births and finds that 25 of the births were by Cesarian Section. Can the research group conclude that the percent of births by Cesarian Section has decreased at 5% level of significance? 3. In a test of Ho: µ = 85 against Ha: u > 85, the sample data yield the sample statistic z = 1.64. Find the p-value for the test. 4. In a test of Ho: u = 80 against Ha: u # 80, a sample of observations had a mean and standard deviation s = 4.1. Find the p-value for the test.
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