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. 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 storeend 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 > 0.8O Ho: P = 0.8; H1: p + 0.8О но: р> 0.8;B н,: р%3D 0.8O 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.baO-3-2-11.23O-3-2-1123d-2-13O-3-2-113(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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Description: 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

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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.

Sketch the sampling distribution and show the area corresponding to the P-value.
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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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