Question

Results from previous studies showed that 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 showed that 162 plan to attend college. Does this indicate that the proportion has increased from that of previous studies? Test at a 5% level of significance.
a. (2 pts.) State the Null and Alternate Hypotheses for this study.
b. (2 pts.) Determine the appropriate test statistic for this study.
c. (2 pts.) Determine p-value for this study.
d. (2 pts.) Compare p-value to α and state your conclusion?
e. (2 pts.) Interpret your conclusion in the context of this study.

Answer 1

given data are:-

sample size (n) = 200

sample proportion () = 162/200 = 0.81

a).hypothesis:-

( claim )

b).the test statistic is :-

c).the p value is :-

[ as this is a right tailed test]

[ in any blank cell of excel type =NORMSDIST(0.6944) ]

d).decision:-

p value = 0.2537 > 0.05 (alpha)

so, we fail to reject the null hypothesis.

e).conclusion:-

there is not enough evidence to indicate that the proportion has increased from that of previous studies at 5% level of significance.

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