Question
Hi, I need help with the process of answering this question. I set up my hypothesis test as: H0: p 0.20 HA: p= 0.20 Sample
Hi, I need help with the process of answering this question.
I set up my hypothesis test as: H0: p 0.20
HA: p= 0.20
Sample Pop(n) total number of respondents | 300 |
Sample proportion(p) | 27% |
SuperJuice success proportion () | 20% (given in question) |
Standard error of the success proportion: | 0.0231 (calculated with SQRT of pi (1-pi)/n) |
Calculated z-score | 3.03 (calculated with p-pi/standard error) |
The one-tailed probability or p-value: | 0.00122 (calculated with excel 1- norm.s.dist (3.03) |
z-critical score | 2.33 (calculated with Norm.s.inv (0.99) |
Number of respondents who answered 5 (definitely would buy) | 81 (81/300 is how I got 27%) |
The SuperJuice Company has developed a new cranberry/grape juice product and must decide whether or not to go into full scale production and distribution. The market research department has conducted taste tests with a random sample of three hundred consumers. The consumers were asked to respond to the statement: "I will buy this juice if it is easily available" on a five point rating scale with the following possible responses: Rating Response
1) Definitely won't buy 2) Probably won't buy
3) Not sure
4) Probably would buy 5) Definitely would buy The responses are provided in the Excel worksheet SuperJuice.xlsx. SuperJuice knows from experience that a new product is unlikely to be successful unless more than twenty percent of all consumers would respond "Definitely would buy" to this type of survey. The company views the risk of marketing a product that eventually fails as much more serious than the risk of failing to market a good product; however, they are willing to accept a 1% chance of marketing an unsuccessful product.
Conduct an appropriate test of hypothesis for SuperJuice. Be sure to make a specific recommendation regarding marketing the juice. Note: The excel function =CountIf should be of help in determining how many customers had 5 as a response
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