Question

A candy company claims that 28% of their candies are blue. In a random sample of 100 candies, 26% were found to be blue. Using a 0.01 significance level to test this claim, what are the null and alternative hypotheses?

A) Null hypothesis: The percentage of blue candies is greater than 28%; Alternative hypothesis: The percentage of blue candies is less than or equal to 28%.

B) Null hypothesis: The percentage of blue candies is equal to 28%; Alternative hypothesis: The percentage of blue candies is not equal to 28%.

C) Null hypothesis: The percentage of blue candies is less than 28%; Alternative hypothesis: The percentage of blue candies is greater than or equal to 28%.

D) Null hypothesis: The percentage of blue candies is greater than or equal to 28%; Alternative hypothesis: The percentage of blue candies is less than 28%.

Answer 1

The null and alternative hypotheses for this hypothesis test are: Null hypothesis: The percentage of blue candies is equal to 28%. Alternative hypothesis: The percentage of blue candies is not equal to 28%. This is a two-tailed test.

Step-by-step explanation:

The null and alternative hypotheses for this hypothesis test are:

Null hypothesis: The percentage of blue candies is equal to 28%.

Alternative hypothesis: The percentage of blue candies is not equal to 28%.

This is a two-tailed test because the alternative hypothesis allows for the percentage of blue candies to be either less than or greater than 28%.