Background Boys, teens, and men have rocked long hair for decades For at least six boys, and one student assigned male at birth whoidentifies as nonbinary, having hair longer than permitted has come at a steep cost this school year They've been suspended Now the families are suing Magnolia Independent School District Source https www washingtonpost com nation 2021 10 21 texas students long hair lawsuit As a Statistician Based on this article, you do some research and find that there was a study conducted in 2015 that states that 37 of US males prefer to have long hair (defined as longer than the nape) In the article, we see that many families address difficulties with the pandemic and how some students feel that the length of their hair is the only thing they can control So, you decide to do a random survey of 200 male students or non binary students assigned as male at birth (ages 7 17) and find that 78 prefer to have long hair now Instructions Test the claim at the 5 level of significance that the proportion of males or non binary students assigned as male at birth (ages 7 17) who prefer to have long hair nowis more than what was reported in 2015 1 pt State the Claim in words 2 pts Null and Alternative Hypotheses use appropriate notation 2 pts Verify the conditions 3 pts Compute the Z test statistic using the formula round 4 decimal places 3 pts Demonstrates how to find the p value 1 pt Make a decision 4 pts State and interpret the conclusion As a Statistician You want to further investigate and decide to estimate the true population proportion of males or non binary students assigned as male at birth (ages 7 17) that have that have long hair now You randomly sample 200, males or non binary students assigned as male at birth (ages 7 17) and find that 78 expressed that they prefer long hair now Estimate the population proportion of males or non binary students assigned as male at birth (ages 7 17) that have expressed they prefer long hair now with a 95 level of confidence 1 pt State p 2 pts Verify the conditions 3 pts Compute the Margin of Error (using the Standard Error and Critical Value) 2 pts State the confidence interval 4 pts State and interpret the conclusion

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Background: Boys, teens, and men have rocked long hair for decades. For at least six boys, and one student assigned male at birth whoidentifies as

Background: Boys, teens, and men have rocked long hair for decades. For at least six boys, and one student assigned male at birth whoidentifies as nonbinary, having hair longer than permitted has come at a steep cost this school year: They've been suspended. Now the families are suing Magnolia Independent School District.

Source: https://www.washingtonpost.com/nation/2021/10/21/texas-students-long-hair-lawsuit/

As a Statistician:

Based on this article, you do some research and find that there was a study conducted in 2015 that states that 37% of US males prefer to have long hair (defined as longer than the nape). In the article, we see that many families address difficulties with the pandemic and how some students feel that the length of their hair is the only thing they can control. So, you decide to do a random survey of 200 male students or non-binary students assigned as male at birth (ages 7-17) and find that 78 prefer to have long hair now.

Instructions:

Test the claim at the 5% level of significance that the proportion of males or non-binary students assigned as male at birth (ages 7-17) who prefer to have long hair nowis more than what was reported in 2015.
1. [1 pt] State the Claim in words.
2. [2 pts] Null and Alternative Hypotheses-use appropriate notation.
3. [2 pts] Verify the conditions.
4. [3 pts] Compute the Z-test statistic using the formula round 4 decimal places.
5. [3 pts] Demonstrates how to find the p-value.
6. [1 pt] Make a decision.
7. [4 pts] State and interpret the conclusion.

As a Statistician: You want to further investigate and decide to estimate the true population proportion of males or non-binary students assigned as male at birth (ages 7-17) that have that have long hair now. You randomly sample 200, males or non-binary students assigned as male at birth (ages 7-17) and find that 78 expressed that they prefer long hair now.

Estimate the population proportion of males or non-binary students assigned as male at birth (ages 7-17) that have expressed they prefer long hair now with a 95% level of confidence.
1. [1 pt] State p^
2. [2 pts] Verify the conditions.
3. [3 pts] Compute the Margin of Error (using the Standard Error and Critical Value).
4. [2 pts] State the confidence interval.
5. [4 pts] State and interpret the conclusion.