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Kitty [74]
3 years ago
10

400 students were randomly sampled from a large university, and 289 said they did not get enough sleep. Conduct a hypothesis tes

t to check whether this represents a statistically significant difference from 50%, and use a significance level of 0. 1
SAT
1 answer:
jarptica [38.1K]3 years ago
4 0

Answer:

The sample proportion represents a statistically significant difference from 50%

Explanation:

The sample proportion is the same as 50%

Alternate hypothesis: The sample proportion is not the same as 50%

z = (p' - p) ÷ sqrt[p(1 - p) ÷ n]

p' is sample proportion = 289/400 = 0.7225

p is population proportion = 50% = 0.5

n is number of students sampled = 400

z = (0.7225 - 0.5) ÷ sqrt[0.5(1 - 0.5) ÷ 400] = 0.2225 ÷ 0.025 = 8.9

The test is a two-tailed test. Using a 0.01 significance level, critical value is 2.576. The region of no rejection of the null hypothesis is -2.576 and 2.576.

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Assume Allison, Bob, and Charisse are the only three buyers of oranges, and only three oranges can be supplied per day.

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The complete question goes thus:

For each of three potential buyers of oranges, the table displays the willingness to pay for the first three oranges of the day. Assume Allison, Bob, and Charisse are the only three buyers of oranges, and only three oranges can be supplied per day.

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