SalesPrice ($)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)CompositeScore16301821182421592355251052635

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Asked Nov 20, 2019
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#2...Can you write out answer please n thank u

Sales
Price ($)
City
Miami
McKinney
Newberg
100
1.30
90
1.60
90
1.80
40
2.00
Prescott
38
Tacoma
San Jose
2.40
32
2.90
2. Assume that a researcher is interested in finding out the relationship between
standardized test scores and household income. Seven participants have been
randomly selected and their ACT Composite score and household income are
reported. By performing a test, can you conclude that there is a significant
relationship between household income and ACT Composite score? State your null
and alternative hypotheses. Please show all of the required steps. Use the data in
the table below. Assume a = .05
points
АСT
Income (in
thousands)
Composite
Score
16
30
18
21
18
24
21
59
23
55
25
105
26
35
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Sales Price ($) City Miami McKinney Newberg 100 1.30 90 1.60 90 1.80 40 2.00 Prescott 38 Tacoma San Jose 2.40 32 2.90 2. Assume that a researcher is interested in finding out the relationship between standardized test scores and household income. Seven participants have been randomly selected and their ACT Composite score and household income are reported. By performing a test, can you conclude that there is a significant relationship between household income and ACT Composite score? State your null and alternative hypotheses. Please show all of the required steps. Use the data in the table below. Assume a = .05 points АСT Income (in thousands) Composite Score 16 30 18 21 18 24 21 59 23 55 25 105 26 35

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Expert Answer

Step 1

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

Null hypothesis:

H0: 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:

Ha: 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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rn-2 t = vi-r2 (0.6203)7-2 yi-(0.6203) (0.6203)5 V0.6152 1.7683 Thus, the value of the test statistic is 1.7683.

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