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It is claimed that 80% of the students at National University are satisfied with the library...

It is claimed that 80% of the students at National University are satisfied with the library facilities. To test this claim, a sample of 100 students is selected and 75 are found to be satisfied.

a) Test the claim at 10% significance level.
b) Find the pvalue of this test.
Math   Statistics-And-Probability   
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Answer #1

a)

The null and alternate hypothesis are:

H0:

Ha:

The test statistic is given by:

Since this is a two-tailed test, so the p-value is given by:

Since p-value is greater than 0.10, so we do not have sufficient evidence to reject the null hypothesis H0.

Thus, we cannot conclude that .

b)

From part (a), p-value = 0.2113

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