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# A Z test for population proportion

It was claimed recently that more than 65% of high school students in the United States use computers for educational purposes. We wish to examine this claim. We choose a random sample of 180 U.S. high school students and find that 123 of these students use computers for educational purposes. Based on this, can we conclude, at the 0.05 level of significance, that more than 65% of high school students in the United States use computers for educational purposes? In your answers, denote the proportion of all U.S. high school students who happen to use computers for educational purposes by p.

Perform a one tailed test
The null hypothesis?
The alternative hypothesis?
the type of test statistic?
The value of the test statistic
Critical value at the 0.05 level of significance?
Can we conclude that more than 65% of the high school students in the US use computers for educational purposes?

#### Solution Summary

The solution provides a step by step method for the calculation of the z test statistic and p value. Formula for the calculation and interpretations of the results are also included. It is given in Word and Excel format.

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