Z test for proportion
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Results from previous studies showed 79% of all high school seniors from a certain city plan to attend college after graduation. A random sample of 200 high school seniors from this city reveals that 162 plan to attend college. Does this indicate that the percentage has increased from that of previous studies? Test at the 5% level of significance.
State the null and alternative hypotheses.
A. H0:  = .79, H1:  > .79
B. H0: p = .79, H1: p ≠ .79
C. H0: p ≤ .79, H1: p > .79
D. H0: = .79, H1: > .79
Compute the z or t value of the sample test statistic.
A. z = 0.69
B. t = 1.645
C. z = 1.96
D. z = 0.62
What is your conclusion?
A. Do not reject H0. There is not enough evidence to support the claim that the proportion of students planning to go to college is greater than .79.
B. Reject H0. There is enough evidence to support the claim that the proportion of students planning to go to college is now greater than .79.
C. Cannot determine
D. More seniors are going to college
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Solution Summary
The solution provides step by step method for the calculation of Z test statistic for proportions . Formula for the calculation and Interpretations of the results are also included. Interactive excel sheet is included. The user can edit the inputs and obtain the complete results for a new set of data.
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