Question

If you were conducting the two-sided hypothesis test, Ho: μ = 65 Ha: μ ≠ 65...

If you were conducting the two-sided hypothesis test,

Ho: μ = 65

Ha: μ ≠ 65

at the 5% significance level, would you reject or fail to reject Ho. I don't want you to conduct a full hypothesis test here. Instead, note that one of the above CIs is equivalent to conducting this test. Tell me which interval and explain why you decided to reject or fail to reject based on this interval.

1. Suppose you are going to construct a 95% CI for the mean height of all the students in this class. Based on our sample of 16 students, we will assume the standard deviation is 2.8. What sample size is needed to get a MOE of 1 inch? Your answer should be a whole number.

2. A poll conducted by NBC took a random sample of 2409 registered voters in Texas. 49% of those surveyed said they planned to vote for Trump. Conduct a 95% confidence interval for the actual proportion of people who will vote for Trump in Texas.

3. Interpret the interval.

4. Based on your interval, is 51% a plausible value for the proportion of people who will vote for Trump in Texas? Explain.

Homework Answers

Answer #1

1) At 95% confidence level, the critical value is z0.025 = 1.96

Margin of error = 1

or, n = (1.96 * 2.8)^2

or, n = 31

2) At 95% confidence level, the critical value is z0.025 = 1.96

The 95% confidence interval for population proportion is

3) We are 95% confident that the true proportion of people who will vote for Trump in Texas lies in the above confidence interval.

4) Since 0.51 does not lie in the confidence interval, so 51% is not a plausible value for the proportion of people who will vote for Trump in Texas.

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
In a hypothesis test with hypotheses Ho: μ ≥ 80 and H1: μ < 80 and...
In a hypothesis test with hypotheses Ho: μ ≥ 80 and H1: μ < 80 and , a random sample of 105 elements selected from the population produced a mean of 74.6. Assume that σ= 23.3, and that the test is to be made at the 5% significance level. -What is the critical value of z? -1.96, 1.645, 1.96 or -1.645 -What is the value of the test statistic, z, rounded to three decimal places? -What is the p-value for...
In a test of the hypothesis Ho: μ = 50 versus Ha: μ ≠ 50, with...
In a test of the hypothesis Ho: μ = 50 versus Ha: μ ≠ 50, with a sample of n = 100 has a Sample Mean = 49.4 and Sample Standard Deviation, S = 4.1. (a) Find the p-value for the test. (b) Interpret the p-value for the test, using an α = 0.10.   
For questions #13-15: Use α = 0.05. Suppose you are conducting a two-sided hypothesis test and...
For questions #13-15: Use α = 0.05. Suppose you are conducting a two-sided hypothesis test and your test statistic is t10 is 50. What is your p-value for this test? (Or tell which two p-values it falls between) For the Hypothesis Test in the previous problem what is your decision? Reject H0 Fail to reject H0 Suppose you wanted to create a 95% confidence interval for the population mean in question. What value of t10 should you use?
1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠ 15...
1. Consider the following hypothesis test: Ho : μ = 15 H1 : μ ≠ 15 A sample of 50 provided a sample mean of 15.15. The population standard deviation is 3. a. Compute the value of the test statistic. b. What is the p value? c. At α = 0.05, what is the rejection rule using the critical value? What is your conclusion? 2. Consider the following hypothesis test: Ho: μ ≤ 51 H1: μ > 51 A sample...
Consider the following hypothesis test: Ho: μ ≥ 40 Ha: μ < 40 A sample of...
Consider the following hypothesis test: Ho: μ ≥ 40 Ha: μ < 40 A sample of 49 provides a sample mean of 38 and a sample standard deviation of 7. Given a test statistic of t=-2, what is the conclusion in the above test?
Let the random variable p indicate the population proportion of people who plan to vote for...
Let the random variable p indicate the population proportion of people who plan to vote for Donald Trump in the upcoming election. In a sample of 50 people, you find the sample proportion of people who plan to vote for Donald Trump is  p ^ = .45. Construct a 95% confidence interval for p, the true proportion of people who plan to vote for Donald Trump. You want to test the hypothesis that the population proportion of people who will vote...
Consider a hypothesis test with H0: μ = 31, Ha: μ ≠ 31, when ?=9, ?*...
Consider a hypothesis test with H0: μ = 31, Ha: μ ≠ 31, when ?=9, ?* = 2.30 and ? = 0.05. Determine the decision (reject or fail to reject H0) you would reach, using the p-value approach, based on the evidence provided. p-value: Decision: Reason:
Suppose you have a two sided hypothesis test, Ha: ? ? ?0 with a test statistic...
Suppose you have a two sided hypothesis test, Ha: ? ? ?0 with a test statistic z=2.70.  Determine the p-value and give the decision of this test. Use a 5% level of significance. a) P-value of 0.0035, reject the null hypothesis. b) P-value of 0.0035, fail to reject the null hypothesis. c) P-value of 0.9931, fail to reject the null hypothesis. d) P-value of 0.0069, reject the null hypothesis.
Danny was conducting the following hypothesis test where μ = true mean age (years) of Eminem...
Danny was conducting the following hypothesis test where μ = true mean age (years) of Eminem fans: H0: μ = 12 vs. Ha: μ ≠ 12. With a p-value = 0.0245, at the 1% level of significance, which is the correct decision? Group of answer choices Insufficient evidence to decide. Reject the null hypothesis. Fail to reject the null hypothesis.
3. Given that r= .9679 and n=4, test the hypothesis that Ho: ρ = 0 Ha...
3. Given that r= .9679 and n=4, test the hypothesis that Ho: ρ = 0 Ha :ρ ≠ 0 Assume α = .10, compute the T and state whether or not you will reject or fail to reject the null hypothesis.