Purchase Solution

Hypothesis Testing: Z Test and Difference of Proportions

Not what you're looking for?

Ask Custom Question

In the year 2000, the state of Indiana began a $40-million renovation of its state fairgrounds, which included the building of a miniature golf course and a state-of-the-art livestock building. Now, Indiana officials are interested in learning what sorts of people are visiting the new attractions. In a survey done at this year's state fair, it was found that, among a random sample of 67 couples at the fair with their children, 24 had visited the new miniature golf course, and among an independently chosen, random sample of 75 couples at the fair on a date (without children), 40 had visited the miniature golf course. Based on these samples, can we conclude, at the 0.01 level of significance, that the proportion p1 of all couples attending the fair with their children who visited the miniature golf course is different from the proportion p2 of all couples attending the fair on a date who visited the miniature golf course?

Perform a two-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. (If necessary, consult a list of formulas.)

The null hypothesis Ho:
The alternate hypothesis H1:
The type of test statistic: Z, t, chi square, or F:
The value of the test statistic: (Round to at least three decimal places):
The p-value (Round to at least three decimal places):
Can we conclude that the proportion of couples visiting the miniture golf course is different between the two groups?

Purchase this Solution
Solution Summary

The solution provides step by step method for the calculation of Z test for proportion, Formula for the calculation and interpretations of the results are also included. This solution is provided in an attached Word and Excel file.

Solution Preview

Answer

The null hypothesis tested is
H0: The proportion of all couples attending the fair with their children who visited the miniature golf course is not significantly different from the proportion of all couples attending the fair on a date who visited the miniature golf course (P1=P2)

The alternative hypothesis is:
H1: The proportion of all couples attending the fair with their children who visited the miniature golf course is ...

Purchase this Solution
Free BrainMass Quizzes
Measures of Central Tendency

This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.

Know Your Statistical Concepts

Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.

Measures of Central Tendency

Tests knowledge of the three main measures of central tendency, including some simple calculation questions.

Terms and Definitions for Statistics

This quiz covers basic terms and definitions of statistics.

View More Free Quizzes
Related BrainMass Solutions

  • Test of hypothesis: difference between proportions

    of residents in support of stadium in LA and the rest of the country respectively n1,n2= sample sizes We will carry out a one tailed test for differences between proportions (since we are testing p1>p2 ; if we were testing p1not equal

  • Hypothesis Testing of Proportions

    454184 Hypothesis Testing of Proportions.. awson and Jick [1976] compare drug prescription in the United States and Scotland. (a) In patients with congestive heart failure, two or more drugs were prescribed in 257 of 437 U.S. patients.

  • Hypothesis Testing: Two sample Z test for proportion

    328207 Hypothesis Testing: Two sample Z test for proportion 1.To compare the effectiveness of two treatments 1 and 2 for a particular disease. Patients were separated in 2 treatment groups.

  • Confidence interval of mean

    72171 To test if there is significant difference between proportions. We use testing of hypothesis - Z-test to test significant difference between means and proportions. See attached file for full problem description.

  • Hypothesis test: difference in proportions

    This is a large sample two-tailed test of hypothesis about , the difference between two population proportions. The significance level of the test is 0.10.

  • Test of hypothesis-test of proportions

    This solution tests the hypothesis for difference in proportions, attached with a Word and Excel document. It is detailed and gives each step of the hypothesis testing format.

  • Statistics: Is the Earth Getting Warmer?

    547788 The solution gived detailed steps on performing a hypothesis testing on two population proportions. All formula and calcuations are shown and explained.

  • Confidence Interval, Hypothesis

    370147 Hypothesis testing: wealth Is there any difference between the proportion of Americans who wish they were rich and the proportion of Canadians who wish they were rich?

  • Z test for proportion

    138341 Statistical Hypothesis Testing: Z test for Proportion Factories are being compared to see if there is a difference in the average defect rates of the chips they produce.

  • Hypothesis Testing of Proportions: Two sample Z Test

    393519 Hypothesis Testing of Proportions: Two sample Z Test A committee studying employer-employee relations proposed that each employee would rate his or her immediate supervisor and in turn the supervisor would rate each employee.

View More Related Solutions