Posted by **Bettie** on Tuesday, April 16, 2013 at 6:54pm.

A local donut shop wishes to test out its donuts against those of the competition which is planning to set up in the community. Each of 50 subjects tastes 2 unidentified donuts and says which they perfer. 31 or 62% of the subjects perfer the local company's donuts to the competition's donuts. Test the claim that a majority(over 50%) of people prefer the local company donuts at the significance level of 0.01. What is your practical conclusion? Do a full hypotheses test.

Suggest how you would design and conduct this experiment.

- STATISTICS -
**MathGuru**, Tuesday, April 16, 2013 at 8:47pm
Using a formula for a binomial proportion one-sample z-test with your data included, we have:

z = .62 - .50 / √[(.50)(.50)/50]

Finish the calculation.

Use a z-table to find the critical or cutoff value at 0.01 for a one-tailed test.

If the z-test statistic calculated above exceeds the critical value from the z-table, reject the null. If the z-test statistic does not exceed the critical value from the z-table, do not reject the null.

I hope this will help get you started.

## Answer This Question

## Related Questions

- Algebra - A shop sells coffee and donuts. The coffee sells for $4.31 and donuts ...
- Math help - Formulate a linear programming problem for the following situation. ...
- marketing - Matt owns a donut shop. He rents a space for $1500 a month and pays ...
- chemistry - could donuts be quantified in terms of instead of number explain? ...
- chemistry - could donuts be quantified in terms of mass instead of number ...
- Statistics - I have been working on the following homework problem: Consider ...
- Math - A donut shop charges $.70 for each donut and $.30 for a carry out box. ...
- Calculus - A donut is generated by rotating the circle, S, defined by (x-3)^2 +y...
- math - At Dora's donut shop, dora makes 15 different varieties of donuts. Seven ...
- math - ms ganston bought donuts to share with the other teacher there are 25 ...

More Related Questions