MATH SOLVE

3 months ago

Q:
# 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.)

Accepted Solution

A:

Answer:Step-by-step explanation:Sample size n = 100p = sample proportion = 0.21A. Upper H 0: pequals0.24 Upper H 1: pnot equals0.24is right answer(Two tailed test at 1% level)p diff = 0.02Std error = [tex]\sqrt{\frac{0.24(0.76)}{100} } =0.0427[/tex]z-value for single proportion= p diff/se = 0.061