A statistics instructor believes that fewer than $20 \%$ of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. At a $1 \%$ level of significance, an appropriate conclusion is: a. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than $20 \%$. b. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is more than $20 \%$. c. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than $20 \%$. d. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is at least $20 \%$
Added by Allen R.
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$H_1$: The proportion of EVC students who attended the midnight showing of Harry Potter is $< 20 \%$. Show more…
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A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 of them attended the midnight showing. At a 1$\%$ level of significance, an appropriate conclusion is: a. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%. b. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is more than 20%. c. There is sufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is less than 20%. d. There is insufficient evidence to conclude that the percent of EVC students who attended the midnight showing of Harry Potter is at least 20%.
Hypothesis Testing with One Sample
Additional Information and Full Hypothesis Test Examples
A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 attended the midnight showing. The Type I error is to conclude that the percent of EVC students who attended is ________. Pick one of the following less than 20%, when in fact it is at least 20% 20%, when in fact it is 20% at least 20%, when in fact it is less than 20% more than 20%, when in fact it is at most 20% less than 20%, when in fact it is less than 20%
Narayan H.
A statistics instructor believes that fewer than 20% of Evergreen Valley College (EVC) students attended the opening night midnight showing of the latest Harry Potter movie. She surveys 84 of her students and finds that 11 attended the midnight showing. An appropriate alternative hypothesis is: a. $p=0.20$ b. $p > 0.20$ c. $p < 0.20$ d. $p \leq 0.20$
Null and Alternative Hypotheses
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