8.1 The Idea of Significance Tests

Last updated about 3 hours ago

6 questions

2

4

3

The Survey of Study Habits and Attitudes (SSHA) is pyschological test that measures students' attitudes toward school and study habits. Scores range from 0 to 200. there mean score for U.S. college students is about 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45 of the more than 1000 students at her college who are at least 30 years of age and the average score is 140.
Choose the correct null and alternative hypotheses given that \mu =the true mean SSHA score for college students.

A Gallup Poll report revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this result holds true at her high school. She surveys a random sample of 150 students at her high school and 114 report that they seldom or never argue with their friends.

Choose the correct null and alternative hypotheses, given that p=the true proportion of teens that seldom or never argue with their friends.

The mean weight of loaves of bread produced at the bakery where you work is supposed to 1 pound. You are the supervisor of quality control at the bakery, and you are concerned that the employees are making loaves that are too light. Suppose you weigh an SRS of 50 bread loaves and find the mean weight is 0.975.
Choose the correct null and alternative hypotheses, given that \mu = the true mean weight of the loaves in this bakery.

The Survey of Study Habits and Attitudes (SSHA) is pyschological test that measures students' attitudes toward scool and study habits. Scores range from 0 to 200. there mean score for U.S. college students is about 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45 students at her college who are at least 30 years of age and the average SSHA score was 140. The resulting p-value is 0.00101. Use a significance level of \alpha value is 0.05. (Your alpha is like your 5% rule)

What conclusion would you make based on the hypotheses for this test written on #1?

The mean weight of loaves of bread produced at the bakery where you work is supposed to 1 pound. You are the supervisor of quality control at the bakery, and you are concerned that the employees are making loaves that are too light. Suppose you weigh an SRS of 50 bread loaves and find the mean weight is 0.975. The resulting p-value for your test is 0.08.

What conclusion would you make based on the hypotheses for this test written on #3 at \alpha=0.05? (Your Alpha is like you 5% rule)

When Mike was testing a new 7-iron, the hypotheses were H0: \sigma=15 versus Ha: \sigma<15 where \sigma = the true standard deviation of the distances Mike hits golf balls using the new 7-iron. Based on a sample of shots with the new 7-iron, the standard deviation as s_x = 13.9 yards. A significance tests using the sample data produced a p-value of 0.28. What conclusion would be made at the \alpha = 0.10 significance level? (Your Alpha is like the 5% rule)

Since the p-value (_______) is _______ than \alpha=_______, we _______ H0 and there _______ convincing evidence that _______.

The Survey of Study Habits and Attitudes (SSHA) is pyschological test that measures students' attitudes toward school and study habits. Scores range from 0 to 200. there mean score for U.S. college students is about 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45 of the more than 1000 students at her college who are at least 30 years of age and the average score is 140. 
Choose the correct null and alternative hypotheses given that \mu =the true mean SSHA score for college students. 

H0: \mu=115

H0: \mu>115

H0: \mu <115

H0: \mu\neq115

H0: \mu=140

H0: \mu>140

H0: \mu<140

H0: \mu\neq140

Ha: \mu=115

Ha: \mu>115

Ha: \mu<115

Ha: \mu\neq115

Ha: \mu=140

Ha: \mu>140

Ha: \mu<140

Ha: \mu\neq140

A Gallup Poll report revealed that 72% of teens said they seldom or never argue with their friends. Yvonne wonders whether this result holds true at her high school. She surveys a random sample of 150 students at her high school and 114 report that they seldom or never argue with their friends.

Choose the correct null and alternative hypotheses, given that p=the true proportion of teens that seldom or never argue with their friends. 

H0: p=0.72

H0: p>0.72

H0: p<0.72

H0: p\neq0.72

H0: p=0.76

H0: p>0.76

H0: p<0.76

H0: p\neq0.76

Ha: p=0.72

Ha: p>0.72

Ha: p<0.72

Ha: p\neq0.72

Ha: p=0.76

Ha: p>0.76

Ha: p<0.76

Ha: p\neq0.76

The mean weight of loaves of bread produced at the bakery where you work is supposed to 1 pound. You are the supervisor of quality control at the bakery, and you are concerned that the employees are making loaves that are too light. Suppose you weigh an SRS of 50 bread loaves and find the mean weight is 0.975.
Choose the correct null and alternative hypotheses, given that \mu = the true mean weight of the loaves in this bakery. 

H0: \mu =1

H0: \mu >1 

H0: \mu <1

H0: \mu\neq1

H0: \mu=0.975

H0: \mu >0.975

H0: \mu <0.975

H0: \mu\neq0.975

Ha: \mu=1

Ha: \mu>1

Ha: \mu<1

Ha: \mu\neq1

Ha: \mu=0.975

Ha: \mu>0.975

Ha: \mu<0.975

Ha: \mu\neq0.975

The Survey of Study Habits and Attitudes (SSHA) is pyschological test that measures students' attitudes toward scool and study habits. Scores range from 0 to 200. there mean score for U.S. college students is about 115. A teacher suspects that older students have better attitudes toward school. She gives the SSHA to an SRS of 45 students at her college who are at least 30 years of age and the average SSHA score was 140. The resulting p-value is 0.00101. Use a significance level of \alpha value is 0.05. (Your alpha is like your 5% rule)

What conclusion would you make based on the hypotheses for this test written on #1?

Since the p-value (0.001) is less than \alpha=0.05,

Since the p-value (0.001) is greater than \alpha=0.05,

Since the p-value (0.05) is less than \alpha=0.001,

Since the p-value (0.05) is greater than \alpha=0.001,

we reject H0

we fail to reject H0

and there is convincing evidence

and there is not convincing evidence 

that older students have better attitudes toward school.

that older students have worse attitudes toward school.

that older students have different attitudes toward school.

The mean weight of loaves of bread produced at the bakery where you work is supposed to 1 pound. You are the supervisor of quality control at the bakery, and you are concerned that the employees are making loaves that are too light. Suppose you weigh an SRS of 50 bread loaves and find the mean weight is 0.975.  The resulting p-value for your test is 0.08. 

What conclusion would you make based on the hypotheses for this test written on #3 at \alpha=0.05? (Your Alpha is like you 5% rule)

Since the p-value (0.08) is less than \alpha=0.05,

Since the p-value (0.08) is greater than \alpha=0.05,

Since the p-value (0.05) is less than \alpha=0.08,

Since the p-value (0.05) is greater than \alpha=0.08,

we reject H0

we fail to reject H0

and there is convincing evidence

and there is not convincing evidence 

that employees are making loaves that are too light

that employees are making loaves that are too heavy.

that employees are making loaves different from the specified weight.