A statistics instructor believes that less than 23% of Mt. San Jacinto College students attended the opening night midnight showing of the latest Star Wars movie. He surveys 62 of his students and finds that 6 attended the midnight showing. Perform a hypothesis test using a 1% level of significance. Step 1: State the null and alternative hypotheses. Ho: P .23 Ha: pv 23 (So we will be performing a left-tailed v test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed ♥ with distribution mean 62 x and distribution standard deviation

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A statistics instructor believes that less than 23% of Mt. San Jacinto College students attended the
opening night midnight showing of the latest Star Wars movie. He surveys 62 of his students and
finds that 6 attended the midnight showing. Perform a hypothesis test using a 1% level of
significance.
Step 1: State the null and alternative hypotheses.
Ho: pv
.23
Ha: pv
.23
(So we will be performing a left-tailed
test.)
Step 2: Assuming the null hypothesis is true, determine the features of the distribution of
point estimates using the Central Limit Theorem.
By the Central Limit Theorem, we know that the point estimates are normally distributed v with
distribution mean 62
x and distribution standard deviation
Step 3: Find the p-value of the point estimate.
P(p' v sv
P(zv sv
%3D
p-value =
Step 4: Make a Conclusion About the null hypothesis.
Since the p-value
= a, we reject
vv the null
hypothesis.
O We cannot conclude that less than 23% of students attended the opening night midnight
showing of the latest Star Wars movie.
O We conclude that less than 23% of students attended the opening night midnight showing of
Transcribed Image Text:A statistics instructor believes that less than 23% of Mt. San Jacinto College students attended the opening night midnight showing of the latest Star Wars movie. He surveys 62 of his students and finds that 6 attended the midnight showing. Perform a hypothesis test using a 1% level of significance. Step 1: State the null and alternative hypotheses. Ho: pv .23 Ha: pv .23 (So we will be performing a left-tailed test.) Step 2: Assuming the null hypothesis is true, determine the features of the distribution of point estimates using the Central Limit Theorem. By the Central Limit Theorem, we know that the point estimates are normally distributed v with distribution mean 62 x and distribution standard deviation Step 3: Find the p-value of the point estimate. P(p' v sv P(zv sv %3D p-value = Step 4: Make a Conclusion About the null hypothesis. Since the p-value = a, we reject vv the null hypothesis. O We cannot conclude that less than 23% of students attended the opening night midnight showing of the latest Star Wars movie. O We conclude that less than 23% of students attended the opening night midnight showing of
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