Media periodically discuss the issue of heights of winning presidential candidates and heights of their main opponents. The accompanying table lists the heights(cm) from several recent presidential elections. Construct ascatterplot, find the value of the linear correlation coefficientr, and find theP-value of r. Determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. Should we expect that there would be acorrelation? Use a significance level of =0.01.

President

173

179

187

176

177

182

186

184

172

180

183

184

180

185

Opponent

183

184

177

175

179

177

184

182

187

182

178

184

184

172

The linear correlation coefficientis r=

(Round to three decimal places asneeded.)

Determine the null and alternative hypotheses.

H0:

equals

=

not equals

greater than

>

less than

<

H1:

less than

<

equals

=

not equals

greater than

>

The test statistic is t=

(Round to two decimal places asneeded.)

TheP-value is

(Round to three decimal places asneeded.)

Because theP-value of the linear correlation coefficient is

greater than

less than or equal to

the significancelevel, there

is not

is

sufficient evidence to support the claim that there is a linear correlation between the heights of winning presidential candiates and the heights of their opponents.

Should we expect that there would be acorrelation?

A.

Yes, because presidential candidates are nominated for reasons other than height.

B.

No, because height is the main reason presidential candidates are nominated.

C.

Yes, because height is the main reason presidential candidates are nominated.

D.

No, because presidential candidates are nominated for reasons other than height.