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Question Analyze gender gap in political beliefs and party ID. Identify response and explanatory variables. Calculate proportions of male/female Republicans. 83369\frac{83}{369} male Republicans, 98551\frac{98}{551} female Republicans.

Studdy Solution

STEP 1

Assumptions1. The table provides the number of individuals identified by gender and political party. . The total number of individuals surveyed is920.
3. The number of males is369 and the number of females is551.
4. The number of Democrats is359, Independents is380, and Republicans is181.
5. The number of males who are Republicans is83 and the number of females who are Republicans is98.

STEP 2

For part a, we need to identify the response variable and the explanatory variable. The response variable is the one that is affected by the other variable, and the explanatory variable is the one that affects the response variable. In this case, the gender of the individual (explanatory variable) may affect their party identification (response variable). So the correct answer is B. Gender is the explanatory variable and party identification is the response variable.

STEP 3

For part b, we need to calculate the proportion of sampled individuals who are (i) male and Republican, (ii) female and Republican. The proportion can be calculated by dividing the number of individuals in the specific category by the total number of individuals.

STEP 4

First, let's calculate the proportion of sampled individuals who are male and Republican.
Proportionmale and Republican=Numbermale and RepublicanTotal number of individualsProportion_{male\, and\, Republican} = \frac{Number_{male\, and\, Republican}}{Total\, number\, of\, individuals}

STEP 5

Now, plug in the given values for the number of males who are Republicans and the total number of individuals to calculate the proportion.
Proportionmale and Republican=83920Proportion_{male\, and\, Republican} = \frac{83}{920}

STEP 6

Calculate the proportion of sampled individuals who are male and Republican.
Proportionmale and Republican=83920≈0.09Proportion_{male\, and\, Republican} = \frac{83}{920} \approx0.09

STEP 7

Next, let's calculate the proportion of sampled individuals who are female and Republican.
Proportionfemale and Republican=Numberfemale and RepublicanTotal number of individualsProportion_{female\, and\, Republican} = \frac{Number_{female\, and\, Republican}}{Total\, number\, of\, individuals}

STEP 8

Now, plug in the given values for the number of females who are Republicans and the total number of individuals to calculate the proportion.
Proportionfemale and Republican=98920Proportion_{female\, and\, Republican} = \frac{98}{920}

STEP 9

Calculate the proportion of sampled individuals who are female and Republican.
Proportionfemale and Republican=98920≈.11Proportion_{female\, and\, Republican} = \frac{98}{920} \approx.11The proportion of sampled individuals who are male and Republican is approximately.09, and the proportion of sampled individuals who are female and Republican is approximately.11.

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