Question

for the following conjecture, state the null and alternative hypotheses. the average score of high school basketball games is less than 88. the null hypothesis is ( h_{0} ) :. the alternative hypothesis is ( h_{1} ) :.

Explanation:

Step1: Define null hypothesis

The null hypothesis \( H_0 \) is a statement of no difference or equality. Here, it is \( H_0:\mu = 88 \)

Step2: Define alternative hypothesis

The alternative hypothesis \( H_1 \) is the claim we are testing. Since the claim is "the average score... is less than 88", it is \( H_1:\mu < 88 \)

Answer:

The null hypothesis \( H_0:\mu = 88 \), the alternative hypothesis \( H_1:\mu < 88 \)