Two groups of children were given a set of coins (penny, dime, nickel, quarter, and half dollar) and asked to choose one of the coins. There were 67 children from the low income group of which 13 drew a nickel and 56 children from the high income group of which 18 drew a nickel. Using the p-value method, test the claim that the proportion of children from the low income group that drew a nickel is greater than the proportion of the high income group that drew a nickel at the 0.05 significance level.

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Two groups of children were given a set of coins (penny, dime, nickel, quarter, and half dollar) and asked to
choose one of the coins. There were 67 children from the low income group of which 13 drew a nickel and 56
children from the high income group of which 18 drew a nickel. Using the p-value method, test the claim that
the proportion of children from the low income group that drew a nickel is greater than the proportion of the
high income group that drew a nickel at the 0.05 significance level.
What are the correct hypotheses? (Select the correct symbols and values.)
Ho: Select an answer
Select an answer
H1:[ Select an answer
Select an answer
Original Claim =
Select an answer
(Round to three places.)
Based on the hypotheses, find the following:
p-value =
(Round to four decimal places.)
Critical value(s)
(Round to two decimal places.)
Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The
arrows can only be dragged to z-scores that are accurate to 1 place after the decimal point (these values
correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to
the right, between or left and right of the z-score(s).
Shade: ( Left of a value
Click and drag the arrows to adjust the values.
-2 t -1
2
3
-4
-1.5
Decision: Select an answer
Conclusion: ( Select an answer
A the claim that the proportion of children from
the low income group that drew a nickel is greater than the proportion of the high income group that drew a
nickel.
Transcribed Image Text:Two groups of children were given a set of coins (penny, dime, nickel, quarter, and half dollar) and asked to choose one of the coins. There were 67 children from the low income group of which 13 drew a nickel and 56 children from the high income group of which 18 drew a nickel. Using the p-value method, test the claim that the proportion of children from the low income group that drew a nickel is greater than the proportion of the high income group that drew a nickel at the 0.05 significance level. What are the correct hypotheses? (Select the correct symbols and values.) Ho: Select an answer Select an answer H1:[ Select an answer Select an answer Original Claim = Select an answer (Round to three places.) Based on the hypotheses, find the following: p-value = (Round to four decimal places.) Critical value(s) (Round to two decimal places.) Shade the sampling distribution curve with the correct critical value(s) and shade the critical regions. The arrows can only be dragged to z-scores that are accurate to 1 place after the decimal point (these values correspond to the tick marks on the horizontal axis). Select from the drop down menu to shade to the left, to the right, between or left and right of the z-score(s). Shade: ( Left of a value Click and drag the arrows to adjust the values. -2 t -1 2 3 -4 -1.5 Decision: Select an answer Conclusion: ( Select an answer A the claim that the proportion of children from the low income group that drew a nickel is greater than the proportion of the high income group that drew a nickel.
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