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StatisticsQ&A LibrarySalesPrice ($)CityMiamiMcKinneyNewberg1001.30901.60901.80402.00Prescott38TacomaSan Jose2.40322.902. Assume that a researcher is interested in finding out the relationship betweenstandardized test scores and household income. Seven participants have beenrandomly selected and their ACT Composite score and household income arereported. By performing a test, can you conclude that there is a significantrelationship between household income and ACT Composite score? State your nulland alternative hypotheses. Please show all of the required steps. Use the data inthe table below. Assume a = .05pointsАСTIncome (inthousands)CompositeScore16301821182421592355251052635Question

Asked Nov 20, 2019

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#2...Can you write out answer please n thank u

Step 1

Let *r* denote the linear correlation between income (*x*) and ACT composite score (*y*). The hypotheses are given below:

*Null hypothesis:*

*H*0: *r* = 0

That is, the sample correlation coefficient (*r*) is not significantly different from zero. There is no significant positive linear relationship between income and ACT composite score.

*Alternative hypothesis:*

*H*a: *r* ≠ 0

That is, the sample correlation coefficient is significantly different from zero.

There is a significant positive linear relationship between income and ACT composite score.

*Degrees of freedom:*

The formula for degrees of freedom is as follows:

Df = *n* – 2.

The number of data values given are 7, that is *n* = 7.

Substitute *n* = 7 in the degrees of freedom formula.

Df = *n* &ndas...

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