Suppose a university advertises that its average class size is 32 or less. A student organization is concerned that budget cuts have led to increased class sizes and would like to test this claim. A random sample of 40 classes was selected, and the average class size was found to be 34.8 students. Assume that the standard deviation for class size at the college is 99 students. Using α=0.10, complete parts a and b below. a. Does the student organization have enough evidence to refute the college's claim?Determine the null and alternative hypotheses. Upper H 0H0:μ▼Upper H 1H1:μ▼

a

The  student does have enough evidence to refute the college claim

b

The null hypothesis is

The alternative hypothesis is

Step-by-step explanation:

From the question we are told that

The average class size is

The sample size is

The sample mean is

The standard deviation is

The significance level is

The null hypothesis is

The alternative hypothesis is

Generally the test statistics is mathematically represented as

=>

=>

Generally the p-value is mathematically represented as

From the z- table

So

So from the calculation we can see that so we fail to reject the null hypothesis

This means that the student does not have enough evidence to refute the college claim