Question

In: Math

HYPOTHESIS TESTING SUMMARY ACTIVITY Part 1: Overview of the Hypothesis Test for the Population Proportion Answer...

HYPOTHESIS TESTING SUMMARY ACTIVITY

Part 1: Overview of the Hypothesis Test for the Population Proportion Answer the following questions:

1) The general form of the test statistic for the hypothesis test for a population proportion is shown below. Label the different components of the test statistic.

2) For the following situations, state the null and alternative hypothesis. Then determine whether the alternative hypothesis is one-sided or two-sided.

a) A toy manufacturer claims that 23% of the 14-year-old residents of a certain city own a skateboard. A sample of fifty 14-year-olds shows that nine own a skateboard. Is there enough evidence to show that the percentage has changed?

b) At a large university, a study found that 25% of the students who commute travel more than 14 miles to campus. Recently, the university built more housing closer to campus so they believe that the proportion has decreased.

c) For students who first enrolled in two-year public institutions in fall 2007, the proportion who earned a bachelor’s degree within 6 years was 0.399. The president of Joliet Junior College believes that the proportion of students who enroll in her institution have a higher completion rate.

3) Use the information in question 2a (toy manufacturer) to answer the following questions.

a) Calculate the test statistic and draw a diagram with a normal curve to represent the sampling distribution of ??� in the context of this situation.

b) If the sample size of the survey was increased, would the test statistic increase or decrease? Would it give us more or less evidence against H0 ?

Solutions

Expert Solution


Related Solutions

If we were to conduct a hypothesis test to test if a population proportion of a...
If we were to conduct a hypothesis test to test if a population proportion of a certain event is 0.2 versus the alternative that it is greater than 0.2 and we sampled 100 people, what would the probability of a Type I Error be if we were to use the arbitrary decision rule to reject Ho if more than 30 units in the sample had the event (not the way we tested hypotheses in class)? What would the probability of...
Hypothesis Testing (One Sample- proportion) using the 5 step process: Use hypothesis testing to test the...
Hypothesis Testing (One Sample- proportion) using the 5 step process: Use hypothesis testing to test the claim that the percentage of women who use Cannabis on a regular basis is more than 26%. A random sample of 200 women found that 64 of them used Cannabis on a regular basis. Use a level of significance of 0.10.
Explain the following: Concepts of Hypothesis Testing Hypotheses Test for a population mean Hypothesis test for...
Explain the following: Concepts of Hypothesis Testing Hypotheses Test for a population mean Hypothesis test for a population proportion Test of normality Chi-Square Test for Independence
Assignment 1 Part A - Confidence Intervals and Hypothesis Testing (One Population) 1. The shoulder height...
Assignment 1 Part A - Confidence Intervals and Hypothesis Testing (One Population) 1. The shoulder height for a random sample of six (6) fawns (deer less than 5 months old) in a national park was , ? = 79.25 cm with population standard deviation ?= 5.33 cm. Compute an 80% confidence interval for the mean shoulder height of the population of all fawns (deer less than 5 months old) in this national park. Analyze the result to interpret its meaning....
In a hypothesis test involving the population proportion, which of the following would be an acceptable...
In a hypothesis test involving the population proportion, which of the following would be an acceptable formulation? Ho: p=0.25 Ha: vs p not equal0.25 none of these Ho: p = 0.25 Vs Ha: p< 0.25 Ho: p = 0.25 vs Ha: p>0.25 please what is the answer?
4. Hypothesis testing for the population proportion. This next problem focuses on using technology to perform...
4. Hypothesis testing for the population proportion. This next problem focuses on using technology to perform a hypothesis test for the true proportion of students with no credit card debt. Prior studies seemed to indicate that the true proportion of students with no credit card debt was 10%; however, new data leads a researcher to claim that the true proportion of students with no credit card debt is different than 10%. You will test this claim. Use appropriate technology with...
1) You are asked the conduct the following hypothesis test concerning a population proportion: H0: prop...
1) You are asked the conduct the following hypothesis test concerning a population proportion: H0: prop = 0.27 HA: prop < 0.27 You draw a sample of size 248 from the population. There are 51 individuals in the sample who satisfy the criteria in which we are interested. Calculate the p-value for this test. Round your answer to 4 decimal places. 2) You are asked the conduct the following hypothesis test concerning a population proportion: H0: prop = 0.43 HA:...
1. For the standardized test statistic approach to hypothesis testing, calculate the test statistic for testing...
1. For the standardized test statistic approach to hypothesis testing, calculate the test statistic for testing the null hypothesis that the population mean is less than or equal to 9.29, given a sample mean of 13.90, a sample size of 35, and a population standard deviation of 3.92. Round to two decimals. 2. Using the traditional hypothesis testing approach, calculate the critical value for testing the null hypothesis that the population mean is greater than or equal to 13, given...
In hypothesis testing, which hypothesis do we test? Experimental Research       Alternative    Null As part...
In hypothesis testing, which hypothesis do we test? Experimental Research       Alternative    Null As part of your research, you have developed the following hypothesis to test: “there will be no association between residents’ socioeconomic status and level of education”. What type of hypothesis is this? One tailed      Alternative    Directional     Two tailed What do we call the situation where we believe there is a genuine effect in our population when in fact there is not? Type II error Type...
In order to conduct a hypothesis test for the population proportion, you sample 480 observations that...
In order to conduct a hypothesis test for the population proportion, you sample 480 observations that result in 264 successes. H0: p = 0.60; HA: p ≠ 0.60. b-1. Calculate the value of the test statistic. (Negative value should be indicated by a minus sign. Round intermediate calculations to at least 4 decimal places and final answer to 2 decimal places.) b-2. Find the p-value. p-value 0.10 p-value < 0.01 0.01 p-value < 0.025 0.025 p-value < 0.05 0.05 p-value...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT