At a certain college, it is estimated that at most 25% of the students ride bicycles to class. does this seem to be a valid estimate if, in a random sample of 90 college students, 28 are found to ride bicycles to class? use a 0.05 level of significance.

No, it does not seem to be a valid estimate if in a random sample of 90 college students, 28 are found to ride bicycles to class.

Step-by-step explanation:

Since we have given that

Number of college students = 90 = n

Number of students ride bicycles to class = 28 = x

So,

Hypothesis :

So, the test statistic value would be

At 0.05 level of significance,

critical value z = 1.96

Since 1.96>1.136

So, we will accept the null hypothesis.

Hence, No, it does not seem to be a valid estimate if in a random sample of 90 college students, 28 are found to ride bicycles to class.

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