Question

Suppose that in a random selection of 100 colored​ candies, 21​% of them are blue. The candy company claims that the percentage of blue candies is equal to 24​%. Use a 0.01 significance level to test that claim. Identify the null and alternative hypotheses for this test. Choose the correct answer below. A. Upper H 0​: pequals0.24 Upper H 1​: pnot equals0.24 Your answer is correct.B. Upper H 0​: pnot equals0.24 Upper H 1​: pequals0.24 C. Upper H 0​: pequals0.24 Upper H 1​: pless than0.24 D. Upper H 0​: pequals0.24 Upper H 1​: pgreater than0.24 Identify the test statistic for this hypothesis test. The test statistic for this hypothesis test is nothing. ​(Round to two decimal places as​ needed.)

Answer 1

Explanation:

Sample size n = 100

p = sample proportion = 0.21

A. Upper H 0​: pequals0.24 Upper H 1​: pnot equals0.24

is right answer

(Two tailed test at 1% level)

p diff = 0.02

Std error =
`\sqrt{(0.24(0.76))/(100) } =0.0427`

z-value for single proportion= p diff/se = 0.061