It was claimed recently that more than 65% of high school students in the United

Question

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 225 U.S. high school students and find that 153 of these students use computers for educational purposes. Based on this, can we conclude, at the 0.01 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. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

Explanation / Answer

H0: p=0.65 vs H1: p>0.65

Here we are using sample size of 225 and this is proportional problem so z statistics is to be use

z=phat-p0/sqr(p0(1-p0)/n) here phat=153/225=0.68 and p0 is hypotheised p

so z=0.68-0.65/sqrt((0.65(1-0.65)/225)=0.94

p value is 0.173609

As p value is greater than alpha we reject null hypothesis

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