Math  /  Data & Statistics

QuestionAt a certain college, it is estimated that at most 32% of the students ride bicycles to class. Does this seem to be a valid estimate if, in a random sample of 98 college students, 39 are found to ride bicycles to class? Use a 0.01 level of significance. Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table.
Let a success be a student that rides a bicycle to class. Identify the null and alternative hypotheses. A. H0H_0: p=0.32p = 0.32 H1H_1: p<0.32p < 0.32
B. H0H_0: p=0.32p = 0.32 H1H_1: p0.32p \ne 0.32
C. H0H_0: p>0.32p > 0.32 H1H_1: p=0.32p = 0.32
D. H0H_0: p<0.32p < 0.32 H1H_1: p=0.32p = 0.32
E. H0H_0: p0.32p \ne 0.32 H1H_1: p=0.32p = 0.32
F. H0H_0: p=0.32p = 0.32 H1H_1: p>0.32p > 0.32
Identify the critical region. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.) A. z<z < B. z<z < or z>z > C. z>2.33z > 2.33
Find the test statistic. z=z = (Round to two decimal places as needed.)

Studdy Solution
Our **test statistic** (z1.66z \approx 1.66) does *not* fall within the **critical region** (z<2.33z < -2.33).
Therefore, we *fail to reject* the null hypothesis.
This means that the estimate of at most 32% of students riding bicycles to class seems to be valid.
The hypotheses are A, the critical region is A: z<2.33z < -2.33, and the test statistic is z1.66z \approx 1.66.

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