Thursday

October 2, 2014

October 2, 2014

Posted by **Adam** on Wednesday, March 23, 2011 at 2:01am.

Coca-Cola over Pepsi is greater than 0.50. In a consumer taste test, 100 randomly selected people

were given blind samples of Coca-Cola and Pepsi. 58 of these subjects preferred Coca-Cola. Is there

sufficient evidence at the 5% level of significance to validate Coca-Cola’s claim? Conduct an

appropriate hypothesis test using (i) the p-value method and (ii) the critical value method.

- Statistics and Probability -
**MathGuru**, Wednesday, March 23, 2011 at 7:09pmNull hypothesis:

Ho: p = .50 -->meaning: population proportion is equal to .50

Alternative hypothesis:

Ha: p > .50 -->meaning: population proportion is greater than .50

Using a formula for a binomial proportion one-sample z-test with your data included, we have:

z = .58 - .50 -->test value (58/100 = .58) minus population value (.50)

divided by

√[(.50)(.50)/100]

Using a z-table, find the critical or cutoff value for a one-tailed test (upper tail) at .05 level of significance. The test is one-tailed because the alternative hypothesis is showing a specific direction (greater than).

The p-value will be the actual level of the test statistic. You can use a z-table to determine that value.

I hope this will help get you started.

**Answer this Question**

**Related Questions**

marketing - Answer the following questions: 1. Think of the value exchanged ...

Statistics - Im using this equation to complete this question: So for this ...

Business Finance - Given the current financial information for both Microsoft ...

statistics - Can people really identify their favorite brand of cola? At a= .05...

Statistics - Hi. I need to complete hypothesis tests and i am unsure if i used ...

ECONOMICS - 1)The tire shop sells 50 tires a day at $75. After they raise the ...

ECONOMICS - 1)The tire shop sells 50 tires a day at $75. After they raise the ...

Management freuqnecy distribution - 2. Use the data in the following table to • ...

Statistics - Bottles of a popular cola contain a mean amount of 300 mL of cola. ...

Statistics - Bottles of a popular cola contain a mean amount of 300 mL of cola. ...