Forty-five percent of the entering CSUN freshmen in Fall 2019 were proficient in math. www.csun.edu/counts/new_first time_freshman.php a. You want to see if the percentage is different for this fall's entering freshmen. Ha: Your hypotheses are Ho: where stands for the percentage of freshmen who were proficient in Fall 2019/ this fall.

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Chapter11: Data Analysis And Probability
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2. Forty-five percent of the entering CSUN freshmen in Fall 2019 were proficient in math.
www.csun.edu/counts/new_first_time_freshman.php
a. You want to see if the percentage is different for this fall's entering freshmen.
Your hypotheses are Ho:
На:
where p stands for the percentage of freshmen who were proficient in Fall 2019 / this fall.
b. Suppose that the null hypothesis is true
that the percentage is 45% for this fall.
Here is the sampling distribution of the
values of p that would be expected if
you repeatedly took random samples
of 150 freshman entering this fall and
found the proportion proficient in
math. From the sketch alone, estimate
the mean
and the SE
0.33
0.37
0.41
0.45
0.49
0.53
0.57
If the null hypothesis is true, would it be unusual to get 50% in your sample who were
proficient in mathematics?
Explain:
If the null hypothesis is true, would it be unusual to get 45 freshmen in your sample who
were proficient in mathematics?
Explain:
c. You take a random sample of 150 freshman entering this fall. In your sample, 82 were
proficient in mathematics. Compute p, locate it on the sampling distribution, and shade in
the (two-sided) area that represents getting a proportion as extreme is yours or more
extreme if 45% of this fall's freshmen are proficient in math.
d. Circle the right words in this conclusion:
The result from your sample IS / IS NOT consistent with a population percentage of 45%.
You DO / DON'T have statistically significant evidence that the percentage for this fall is
different from 45%.
If you could ask all of this fall's entering freshman, it IS / IS NOT plausible that the
percentage who were proficient in math is 45%.
8.
7/18/20
Transcribed Image Text:2. Forty-five percent of the entering CSUN freshmen in Fall 2019 were proficient in math. www.csun.edu/counts/new_first_time_freshman.php a. You want to see if the percentage is different for this fall's entering freshmen. Your hypotheses are Ho: На: where p stands for the percentage of freshmen who were proficient in Fall 2019 / this fall. b. Suppose that the null hypothesis is true that the percentage is 45% for this fall. Here is the sampling distribution of the values of p that would be expected if you repeatedly took random samples of 150 freshman entering this fall and found the proportion proficient in math. From the sketch alone, estimate the mean and the SE 0.33 0.37 0.41 0.45 0.49 0.53 0.57 If the null hypothesis is true, would it be unusual to get 50% in your sample who were proficient in mathematics? Explain: If the null hypothesis is true, would it be unusual to get 45 freshmen in your sample who were proficient in mathematics? Explain: c. You take a random sample of 150 freshman entering this fall. In your sample, 82 were proficient in mathematics. Compute p, locate it on the sampling distribution, and shade in the (two-sided) area that represents getting a proportion as extreme is yours or more extreme if 45% of this fall's freshmen are proficient in math. d. Circle the right words in this conclusion: The result from your sample IS / IS NOT consistent with a population percentage of 45%. You DO / DON'T have statistically significant evidence that the percentage for this fall is different from 45%. If you could ask all of this fall's entering freshman, it IS / IS NOT plausible that the percentage who were proficient in math is 45%. 8. 7/18/20
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