Question

Test whether males are less likely than females to support the ballot initiative, if 23% of a random sample of males plan to vote yes of a random sample of 60 , and 32% of a random sample of 50 females plan to vote yes. Use a 10% significance level. What type of error could you have made in your decision?

Answer #1

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Test whether males are less likely than females to support a
ballot initiative, if 24% of a random sample of 50 males plan to
vote yes on the initiative and 32% of a random sample of 50 females
plan to vote yes. Does this scenario represent a confidence
interval or a hypothesis test?

Test whether males are less likely than females to support a
ballot initiative, if 23% of a random sample of 52 males plan to
vote yes on the initiative and 31% of a random sample of 52 females
plan to vote yes.
Use subscripts 1 for males who plan to vote yes and 2 for females
who plan to vote yes.
(a)Find the relevant sample proportions in each group and the
pooled proportion.
Round your answers to three decimal places,...

Context:
Are males more likely to purchase fried products than females?
You record the gender of all the customers for one week and find
the following:
Purchased Fried Product
Did NOT Purchase Fried Product
Total
Male
42
33
75
Female
38
43
81
Total
80
76
156
At the 0.05 level of significance, is there evidence that there
is a difference in the distribution of sales of fried products
between males and females. Use Excel to calculate your answers
below....

In a random sample of males, it was found that 17 write with
their left hands and 221 do not. In a random sample of females, it
was found that 64 write with their left hands and 444 do not. Use a
0.05 significance level to test the claim that the rate of
left-handedness among males is less than that among females
H0:p1 = p2
H1:P1<P2
and the Z was - 2.23 and P value was 0.013 and the hypothesis...

The National Center for Health Statistics reports that the mean
systolic blood pressure for males 35 to 44 years of age is 128. Do
the executives of a large company have a different mean blood
pressure? We collect data on 72 executives and find x-bar=126.07
and s=15. For this test, we plan to use a significance level of
0.05.
1. Using a calculator, conduct the appropriate hypothesis test.
Based on the p-value found throught the test, make a decision and...

c) Test whether the mean tax rate for females differs from that
of males at the
alpha=0.10 level of significance. Determine the null and
alternative hypotheses for this test. Let μm represent the mean
income tax rate for males and let μF represent the mean income tax
rate for females.
Upper H0: μM = μF
versus
Upper H1: μM ≠ μF
Find t0 the test statistic for this hypothesis test.
Gender Tax Rate Gender Tax
Rate
Female 10 Male 15...

Test whether mu 1 less than mu 2 at the alphaequals0.02 level of
significance for the sample data shown in the accompanying table.
Assume that the populations are normally distributed. Population 1
Population 2 n 32 25 x overbar 103.4 114.5 s 12.2 13.2

A city manager wants to know whether less than 25 secretaries
are being used per day. If in a random sample of 60 days, the mean
number of temporary secretaries employed is 23.5, with a standard
deviation s=6.1, is there at the .05 level of significance
sufficient evidence to reject the null hypothesis that
M(mule)=25?
1. State Null Hypothesis and Alternative Hypothesis
2. State level significance.
3. State criterion and test statistic
4.Calculate.
5. Decision.

The director of student services at Oxnard College is interested
in whether women are less likely to attend orientation than men
before they begin their coursework. A random sample of freshmen at
Oxnard College were asked what their gender is and whether they
attended orientation. The results of the survey are shown
below:
Data for Gender vs. Orientation
Attendance
Women
Men
Yes
456
493
No
204
197
What can be concluded at the αα = 0.05 level of
significance?
The...

1. Suppose a random sample of 400 Gondor citizens was asked if
they support the construction of a border wall with Mordor. 260
said, “Yes.” The Steward of Gondor is on record as saying, “More
than 60% of our citizens want the wall. We should build the
wall.”
(a) At the α = 0.10 significance level is there evidence to
support the steward’s claim?
(b) Interpret the P-value in the context of this test.
(c) Explain what a Type I...

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