Consider the following proportion hypothesis: Given: Ho: p ≤ 0.6 H1: p > 0.6 A binomial distribution can be approximated with the normal distribution, so use a z-score for α=0.05. Test the above hypothesis if a random sample of 250 users has 210 successes. Solution: [1 point for writing rules/formula] Calculate: Calculate Zp: Find Zα: Compare Zp and Zα: Your conclusion:
Added by Cynthia A.
Step 1
84 \] ** Show more…
Show all steps
Close
Your feedback will help us improve your experience
Juan Nicolás and 70 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Q1[3 points] Consider the following proportion hypothesis: Given: Ho: p ≤ 0.6 H1: p > 0.6 A binomial distribution can be approximated with the normal distribution, so use a z-score for α=0.05. Test the above hypothesis if a random sample of 250 users has 210 successes. Solution: [1 point for writing rules/formula] Calculate: Calculate Zp Find Zα Compare Zp and Zα Your conclusion:
David N.
Q1[3 point] Consider the following proportion hypothesis: Give: Ho: p ≤ 0.6 H1: p > 0.6 A binomial distribution can be approximated with the normal distribution, so use a z-score for α=0.05. Test the above hypothesis is a random sample of 250 users has 210 successes. Solution: [1 point for writing rules/formula] Calculate p̄ : 0.84 Calculate Zp : 7.75 Find Zα : 1.64 Compare Zp and Zα : Zp>Za Your conclusion: Rejects the null hypothesis Q2[2 point] Suppose we fail to reject Ho: μ ≥ 50 When the true mean is μ = 53 Given a sample of size n=64 and σ =6 and with α=0.05 Calculate the critical sample mean X̄α, the Zx̄α, The probability of type II error β and the power of the hypothesis test P. Solution: [1 point for writing rules/formula] Calculate X̄α : Calculate Zx̄α with the true mean μ = 53: The probability of type II error β: The power of the hypothesis test P:
Madhur L.
We have given the number of successes and the sample size for a simple random sample from a population. In each case, do the following. a. Determine the sample proportion. b. Decide whether using the one-proportion z-test is appropriate. c. If appropriate, use the one-proportion z-test to perform the specified hypothesis test. $$x=16, n=20, H_{0}: p=0.7, H_{\mathrm{a}}: p \neq 0.7, \alpha=0.05$$
Inferences for Population Proportions
Hypothesis Tests for One Population Proportion
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD