Question

In excel

Conduct the appropriate hypothesis test. Show 1) assumptions 2) null and alternative hypothesis 3) appropriate test statistic 4) Conclusion on rejecting or failing to reject the null hypothesis * and 5) the p-value method to make your final conclusion and statement.*

"A researcher asked a simple random sample of 500 students if they studied more than 2 hours a day. The result of that survey had given a yes of 53.2%. The researcher conducted the same survey using a simple random sample 10 years later of 763 students to see if the answer had changed. 301 of the students said yes. Use an α= .01."

Successes

Sample Size

Proportion of Successes

Hypothesized Value

α

Z

Two-Tailed Test

Lower Critical Value

Upper Critical value

p-value

One-tailed Test (Lower)

Lower Critical Value

p-value

One-Tailed test (Upper)

Upper Critical Value

p-value

Answer 1

Here sample size is large enough such that np>10 and nq>10

So normal approximation can be used

Here claim is that p has changed from 0.532

So hypothesis is vs

Now

So test statistics is

P value is

As P value is less than alpha we reject the null hypothesis

We have sufficient evidence to support the claim that p has changed from 0.532