Harper's Index reported that 80% of all supermarket prices end in the digit 9 or 5. Suppose you check a random sample of 110 items in a supermarket and find that 83 have prices that end in 9 or S. Does this indicate that fewer than 80% of the prices in the stor end in the digits 9 or 5? Use a -0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.8; H: p > 0.8 O Ho: p = 0.8; H: p* 0.8 O Ho: P > 0.8; H,:p = 0.8 O Ho: p = 0.8; H:p < 0.8 (b) What sampling distribution will you use? O The standard normal, since np <5 and ng <5. O The Student's t, since np > 5 and ng > 5. O The Student's t, since np <5 and ng < 5. O The standard normal, since np > 5 and ng > 5 What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
Harper's Index reported that 80% of all supermarket prices end in the digit 9 or 5. Suppose you check a random sample of 110 items in a supermarket and find that 83 have prices that end in 9 or S. Does this indicate that fewer than 80% of the prices in the stor end in the digits 9 or 5? Use a -0.05. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: p = 0.8; H: p > 0.8 O Ho: p = 0.8; H: p* 0.8 O Ho: P > 0.8; H,:p = 0.8 O Ho: p = 0.8; H:p < 0.8 (b) What sampling distribution will you use? O The standard normal, since np <5 and ng <5. O The Student's t, since np > 5 and ng > 5. O The Student's t, since np <5 and ng < 5. O The standard normal, since np > 5 and ng > 5 What is the value of the sample test statistic? (Round your answer to two decimal places.) (c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
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Harper's Index reported that 80% of all supermarket prices end in the digit 9 or 5. Suppose you check a random sample of 110 items in a supermarket and find that 83 have prices that end in 9 or 5. Does this indicate that fewer than 80% of the prices in the store end in the digits 9 or 5? Use ? = 0.05.
I need help with sketching (d) and (e)
![Harper's Index reported that 80% of all supermarket prices end in the digit 9 or 5. Suppose you check a random sample of 110 items in a supermarket and find that 83 have prices that end in 9 or 5. Does this indicate that fewer than 80% of the prices in the store
end in the digits 9 or 5? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: p = 0.8; H,: p > 0.8
O Ho: P = 0.8; H1: p + 0.8
О но: р> 0.8;B н,: р%3D 0.8
O Ho: p = 0.8; H: p < 0.8
(b) What sampling distribution will you use?
O The standard normal, since np <5 and ng < 5.
O The Student's t, since np > 5 and ng > 5.
O The Student's t, since np < 5 and ng < 5.
O The standard normal, since np > 5 and ng > 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38146eb9-2bcd-4b4d-a07c-f93835a9c0de%2F25571273-debc-42fb-b60c-914e871366ad%2Flt6hife_processed.png&w=3840&q=75)
Transcribed Image Text:Harper's Index reported that 80% of all supermarket prices end in the digit 9 or 5. Suppose you check a random sample of 110 items in a supermarket and find that 83 have prices that end in 9 or 5. Does this indicate that fewer than 80% of the prices in the store
end in the digits 9 or 5? Use a = 0.05.
(a) What is the level of significance?
State the null and alternate hypotheses.
O Ho: p = 0.8; H,: p > 0.8
O Ho: P = 0.8; H1: p + 0.8
О но: р> 0.8;B н,: р%3D 0.8
O Ho: p = 0.8; H: p < 0.8
(b) What sampling distribution will you use?
O The standard normal, since np <5 and ng < 5.
O The Student's t, since np > 5 and ng > 5.
O The Student's t, since np < 5 and ng < 5.
O The standard normal, since np > 5 and ng > 5.
What is the value of the sample test statistic? (Round your answer to two decimal places.)
(c) Find the P-value of the test statistic. (Round your answer to four decimal places.)
![Sketch the sampling distribution and show the area corresponding to the P-value.
b
a
O-3
-2
-1
1.
2
3
O-3
-2
-1
1
2
3
d
-2
-1
3
O-3
-2
-1
1
3
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O There is sufficient evidence at the 0.05 level to conclude that the true proportion of prices ending with digits 9 or 5 is less than 80%.
O There is insufficient evidence at the 0.05 level to conclude that the true proportion of prices ending with digits 9 or 5 is less than 80%.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F38146eb9-2bcd-4b4d-a07c-f93835a9c0de%2F25571273-debc-42fb-b60c-914e871366ad%2Fpz6f4lj_processed.png&w=3840&q=75)
Transcribed Image Text:Sketch the sampling distribution and show the area corresponding to the P-value.
b
a
O-3
-2
-1
1.
2
3
O-3
-2
-1
1
2
3
d
-2
-1
3
O-3
-2
-1
1
3
(d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a?
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we reject the null hypothesis and conclude the data are not statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are statistically significant.
O At the a = 0.05 level, we fail to reject the null hypothesis and conclude the data are not statistically significant.
(e) Interpret your conclusion in the context of the application.
O There is sufficient evidence at the 0.05 level to conclude that the true proportion of prices ending with digits 9 or 5 is less than 80%.
O There is insufficient evidence at the 0.05 level to conclude that the true proportion of prices ending with digits 9 or 5 is less than 80%.
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