A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink. conclusion for null hypothesis isGroup of answer choicesdo not reject H0revise horeject Ho
Question
A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink. conclusion for null hypothesis isGroup of answer choicesdo not reject H0revise horeject Ho
Solution
To answer this question, we need to perform a hypothesis test for a proportion. Here are the steps:
Step 1: State the hypotheses. The first step is to state the null hypothesis and an alternative hypothesis.
Null hypothesis: p = 0.22 (At least 22% of the population will like the new soft drink) Alternative hypothesis: p < 0.22 (Less than 22% of the population will like the new soft drink)
Step 2: Formulate an analysis plan. For this analysis, the significance level is defined as 0.05.
Step 3: Analyze sample data. Using sample data, we calculate the pooled sample proportion (p) and the standard error (SE). Using those measures, we compute the z-score test statistic (z).
p = 80 / 400 = 0.20 SE = sqrt{ [ p * ( 1 - p ) / n ] } = sqrt{ [ 0.20 * ( 1 - 0.20 ) / 400 ] } = 0.020 z = ( p - P ) / SE = ( 0.20 - 0.22 ) / 0.020 = -1.00
Step 4: Interpret the results. We use the Normal Distribution to find P(Z < -1.00) = 0.1587. Because the P-value (0.1587) is greater than the significance level (0.05), we cannot reject the null hypothesis.
Conclusion: Do not reject H0.
Similar Questions
A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink. Group of answer choices.534.1660.824.5
A new soft drink is being market tested. A sample of 400 individuals participated in the taste test and 80 indicated they like the taste. At a 5% significance level, test to determine if at least 22% of the population will like the new soft drink.What is the test statistic? Group of answer choices-.97-.74.79.47
A marketing survey is conducted in which students are to taste two different brands of soft drink.Their task is to correctly identify the brand tasted.A random sample of 200 students is taken.Assume that the students have no ability to distinguish between the two brands. b.The probability is 90%that the sample percentage is contained within what symmetrical limits of the population percentage?Identify the limits of the population percentage. The lower limit is The upper limit is (Round to four decimal places as needed.)
Decide which hypothesis test is appropriate to use.A BBQ restaurant chain wanted to compare ratings for their BBQ orders for different flavored wood chips they use in their BBQ. They use the same meat to barbecue for 4 different flavored wood chips: mesquite, cherry wood, hickory, and apple wood. They compared consumer ratings for each (poor, OK, good, excellent).Group of answer choicesHypothesis testing for one population proportionHypothesis testing for one population meanHypothesis testing comparing two population proportionsHypothesis testing comparing two population means – independent samplesHypothesis testing comparing two population means – matched pair samplesANOVAChi-square test of independenceT-test for linear relationship
Analyse two ways in which a soft drinks manufacturer might segment the market for its products
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.