# Question: Consider the following null and alternative hypotheses Ho p 80

Consider the following null and alternative hypotheses:

Ho: p = .80 versus H1: p ≠ .82

A random sample of 600 observations taken from this population produced a sample proportion of .86.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .025? What if α = .01?

Ho: p = .80 versus H1: p ≠ .82

A random sample of 600 observations taken from this population produced a sample proportion of .86.

a. If this test is made at a 2% significance level, would you reject the null hypothesis? Use the critical-value approach.

b. What is the probability of making a Type I error in part a?

c. Calculate the p-value for the test. Based on this p-value, would you reject the null hypothesis if α = .025? What if α = .01?

**View Solution:**## Answer to relevant Questions

Consider the following null and alternative hypotheses: H0: p = .44 versus H1: p < .44 A random sample of 450 observations taken from this population produced a sample proportion of .39. a. If this test is made at a 2% ...A real estate agent claims that the mean living area of all single-family homes in his county is at most 2400 square feet. A random sample of 50 such homes selected from this county produced the mean living area of 2540 ...A computer company that recently introduced a new software product claims that the mean time taken to learn how to use this software is not more than 2 hours for people who are somewhat familiar with computers. A random ...Professor Hansen believes that some people have the ability to predict in advance the outcome of a spin of a roulette wheel. He takes 100 student volunteers to a casino. The roulette wheel has 38 numbers, each of which is ...A statistician performs the test versus and finds the p-value to be .4546. a. The statistician performing the test does not tell you the value of the sample mean and the value of the test statistic. Despite this, you have ...Post your question