For each of the situations in parts a) through d), define the parameter (proportion or mean) and write the null and alternative hypotheses in terms of parameter values. Example: We want to know if the proportion of up days in the stock market is 50%. Answer: Let pequals=the proportion of up days. Upper H 0 : p equals 0.5H0: p=0.5 vs. Upper H Subscript Upper A Baseline : p not equals 0.5HA: p≠0.5.

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monica789412 monica789412 · Answer 1 · 2020-04-19T20:29:40+02:00

We can say that ,Proportion P of win is

[tex]H_{0} :P=0.01\\H_{A}:P\neq 0.01[/tex]

Step-by-step explanation:

Step 1

We first need to check the delivery rate of a machine is 1 in 100

Let [tex]p[/tex] denote the proportion of delivery rate

[tex]p=1/100=.0.01[/tex]

The null and alternate hypothesis is

[tex]H_{0} :P=0.01\\H_{A}:P\neq 0.01[/tex]

Step 2

We need to check whether the mean is changed this year

Let μ represent the average amount spent

μ=35.32

The null and alternate hypothesis is

[tex]H_{0} :[/tex]μ =35.32

[tex]H_{A} :[/tex] μ [tex]\neq 35.32[/tex]

Step 3

Given that the cure rate is 30% we need to check whether the new drug has the same rate then

Let [tex]p[/tex] denote sample proportion of cure rate for the new drug

[tex]p=30/100=0.30[/tex]

The null and alternate hypothesis is

[tex]H_{0}:p=0.30\\H_{A} :p\neq 0.30[/tex]

Step 4

In this step we need to check whether the website has changed or not so

Let [tex]p[/tex] be the sample proportion of the customer using the bank website

[tex]p=40/100=0.40[/tex]

The null and alternate hypothesis is

[tex]H_{0} :p=0.40\\H_{A} \neq 0.40[/tex]