A teacher believes that her students write longer essay responses when they type versus when they handwrite. She decides to compare the number of words students write in a typed response to the number of words they write in a comparable handwritten response to test her claim.

Student Handwritten Word Count Type Word Count
1 202 253
2 180 210
3 289 230
4 300 311
5 178 185
6 195 214
7 261 242
8 196 220
9 245 258
Which of the following best describes the effect of students typing instead of handwriting their responses, given a significance level of 0.05?

A. With a t score of Negative 0.8137; and a P-value of 0.21987, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.
B. With a t score of Negative 0.8137 and a P-value of 0.04371, there is sufficient evidence to reject the null hypothesis. This indicates that typing significantly increases the number of words that students write.
C. With a t score of Negative 0.8137 and a P-value of 0.04371, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.
D. With a t score of Negative 0.8137 and a P-value of 0.21987, there is sufficient evidence to reject the null hypothesis. This indicates that typing significantly increases the number of words that students write.

Question

08-03-2022
Mathematics

Answered

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A teacher believes that her students write longer essay responses when they type versus when they handwrite. She decides to compare the number of words students write in a typed response to the number of words they write in a comparable handwritten response to test her claim.

Student Handwritten Word Count Type Word Count
1 202 253
2 180 210
3 289 230
4 300 311
5 178 185
6 195 214
7 261 242
8 196 220
9 245 258
Which of the following best describes the effect of students typing instead of handwriting their responses, given a significance level of 0.05?

A. With a t score of Negative 0.8137; and a P-value of 0.21987, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.
B. With a t score of Negative 0.8137 and a P-value of 0.04371, there is sufficient evidence to reject the null hypothesis. This indicates that typing significantly increases the number of words that students write.
C. With a t score of Negative 0.8137 and a P-value of 0.04371, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.
D. With a t score of Negative 0.8137 and a P-value of 0.21987, there is sufficient evidence to reject the null hypothesis. This indicates that typing significantly increases the number of words that students write.

Sagot :

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oShelb oShelb · Answer 1 · 2022-03-09T21:18:31-05:00

Answer:

The answer is A. With a t score of -0.8137, and a p-value of 0.21987, there is insufficient evidence to reject the null hypothesis. This indicates that typing does not significantly increase the number of words that students write.

Step-by-step explanation:

Answer choices B and C are not correct because this is a one-tailed test and it isn't answer choice D because the p-value is greater than the significance level which means there is NOT sufficient evidence to reject the null hypothesis.

Sagot :

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